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41421453335424 = 273432171241879
BaseRepresentation
bin10010110101100001011110…
…00000110001101110000000
312102122212000022011011110000
421122300233000301232000
520412122114023213144
6224032430350240000
711503413141042141
oct1132605700615600
9172585008134400
1041421453335424
111221a815609838
12478b908ab6000
131a160459b0346
14a32b48003ac8
154bc7014c5769
hex25ac2f031b80

41421453335424 has 160 divisors (see below), whose sum is σ = 123307991413200. Its totient is φ = 13802848063488.

The previous prime is 41421453335389. The next prime is 41421453335429. The reversal of 41421453335424 is 42453335412414.

It is a happy number.

41421453335424 is a `hidden beast` number, since 4 + 1 + 4 + 21 + 4 + 53 + 33 + 542 + 4 = 666.

It is a super-4 number, since 4×414214533354244 (a number of 56 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 41421453335424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41421453335429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32732917 + ... + 33974795.

Almost surely, 241421453335424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41421453335424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61653995706600).

41421453335424 is an abundant number, since it is smaller than the sum of its proper divisors (81886538077776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41421453335424 is a wasteful number, since it uses less digits than its factorization.

41421453335424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245122 (or 1245101 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 45.

Adding to 41421453335424 its reverse (42453335412414), we get a palindrome (83874788747838).

The spelling of 41421453335424 in words is "forty-one trillion, four hundred twenty-one billion, four hundred fifty-three million, three hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3217 3456 5184 6434 9651 10368 12868 19302 25736 28953 38604 51472 57906 77208 86859 102944 115812 154416 173718 205888 231624 260577 308832 347436 411776 463248 521154 617664 694872 926496 1042308 1235328 1241879 1389744 1852992 2084616 2483758 2779488 3705984 3725637 4169232 4967516 5558976 7451274 8338464 9935032 11117952 11176911 14902548 16676928 19870064 22353822 29805096 33353856 33530733 39740128 44707644 59610192 67061466 79480256 89415288 100592199 119220384 134122932 158960512 178830576 201184398 238440768 268245864 357661152 402368796 476881536 536491728 715322304 804737592 1072983456 1430644608 1609475184 2145966912 3218950368 3995124743 4291933824 6437900736 7990249486 11985374229 12875801472 15980498972 23970748458 31960997944 35956122687 47941496916 63921995888 71912245374 95882993832 107868368061 127843991776 143824490748 191765987664 215736736122 255687983552 287648981496 323605104183 383531975328 431473472244 511375967104 575297962992 647210208366 767063950656 862946944488 1150595925984 1294420416732 1534127901312 1725893888976 2301191851968 2588840833464 3451787777952 4602383703936 5177681666928 6903575555904 10355363333856 13807151111808 20710726667712 41421453335424