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41433240100140 = 223257121327109253
BaseRepresentation
bin10010110101110111011011…
…00011101101110100101100
312102200222102202000211222100
421122323231203231310230
520412320233431201030
6224042100121415100
711504311212635520
oct1132735543556454
9172628382024870
1041433240100140
11122248139685a9
12479205833a490
131a171a3905535
14a33545595d80
154bcb91175360
hex25aeed8edd2c

41433240100140 has 144 divisors (see below), whose sum is σ = 143753650867008. Its totient is φ = 9462647066112.

The previous prime is 41433240100139. The next prime is 41433240100159. The reversal of 41433240100140 is 4100104233414.

41433240100140 is a `hidden beast` number, since 41 + 433 + 2 + 40 + 10 + 0 + 140 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12026247 + ... + 15083006.

It is an arithmetic number, because the mean of its divisors is an integer number (998289242132).

Almost surely, 241433240100140 is an apocalyptic number.

It is an amenable number.

41433240100140 is an abundant number, since it is smaller than the sum of its proper divisors (102320410766868).

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

41433240100140 is a wasteful number, since it uses less digits than its factorization.

41433240100140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27110488 (or 27110483 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 41433240100140 its reverse (4100104233414), we get a palindrome (45533344333554).

The spelling of 41433240100140 in words is "forty-one trillion, four hundred thirty-three billion, two hundred forty million, one hundred thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1213 1260 2426 3639 4852 6065 7278 8491 10917 12130 14556 16982 18195 21834 24260 25473 33964 36390 42455 43668 50946 54585 72780 76419 84910 101892 109170 127365 152838 169820 218340 254730 305676 382095 509460 764190 1528380 27109253 54218506 81327759 108437012 135546265 162655518 189764771 243983277 271092530 325311036 379529542 406638795 487966554 542185060 569294313 759059084 813277590 948823855 975933108 1138588626 1219916385 1626555180 1707882939 1897647710 2277177252 2439832770 2846471565 3415765878 3795295420 4879665540 5692943130 6831531756 8539414695 11385886260 17078829390 32883523889 34157658780 65767047778 98650571667 131534095556 164417619445 197301143334 230184667223 295951715001 328835238890 394602286668 460369334446 493252858335 591903430002 657670477780 690554001669 920738668892 986505716670 1150923336115 1183806860004 1381108003338 1479758575005 1973011433340 2071662005007 2301846672230 2762216006676 2959517150010 3452770008345 4143324010014 4603693344460 5919034300020 6905540016690 8286648020028 10358310025035 13811080033380 20716620050070 41433240100140