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41434204413312 = 273343327688369
BaseRepresentation
bin10010110101111001001110…
…00010010001110110000000
312102201001220221120000222000
421122330213002101312000
520412324222312211222
6224042335530144000
711504344132314264
oct1132744702216600
9172631827500860
1041434204413312
1112225169227337
124792287282000
131a172c8629149
14a335d76940a4
154bcbeab579ac
hex25af27091d80

41434204413312 has 128 divisors (see below), whose sum is σ = 122570876316000. Its totient is φ = 13779503972352.

The previous prime is 41434204413299. The next prime is 41434204413341. The reversal of 41434204413312 is 21331440243414.

41434204413312 is a `hidden beast` number, since 4 + 1 + 4 + 3 + 4 + 204 + 413 + 31 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12347737 + ... + 15340632.

Almost surely, 241434204413312 is an apocalyptic number.

It is an amenable number.

41434204413312 is an abundant number, since it is smaller than the sum of its proper divisors (81136671902688).

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

41434204413312 is a wasteful number, since it uses less digits than its factorization.

41434204413312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27688825 (or 27688807 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 41434204413312 its reverse (21331440243414), we get a palindrome (62765644656726).

The spelling of 41434204413312 in words is "forty-one trillion, four hundred thirty-four billion, two hundred four million, four hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 433 576 864 866 1152 1299 1728 1732 2598 3456 3464 3897 5196 6928 7794 10392 11691 13856 15588 20784 23382 27712 31176 41568 46764 55424 62352 83136 93528 124704 166272 187056 249408 374112 498816 748224 1496448 27688369 55376738 83065107 110753476 166130214 221506952 249195321 332260428 443013904 498390642 664520856 747585963 886027808 996781284 1329041712 1495171926 1772055616 1993562568 2658083424 2990343852 3544111232 3987125136 5316166848 5980687704 7974250272 10632333696 11961375408 11989063777 15948500544 23922750816 23978127554 31897001088 35967191331 47845501632 47956255108 71934382662 95691003264 95912510216 107901573993 143868765324 191825020432 215803147986 287737530648 323704721979 383650040864 431606295972 575475061296 647409443958 767300081728 863212591944 1150950122592 1294818887916 1534600163456 1726425183888 2301900245184 2589637775832 3452850367776 4603800490368 5179275551664 6905700735552 10358551103328 13811401471104 20717102206656 41434204413312