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41544384134136 = 233131743917842031
BaseRepresentation
bin10010111001000110011100…
…10000100011101111111000
312110002121022120010202221220
421130203032100203233320
520421130344314243021
6224205120540032040
711515324365431202
oct1134431620435770
9173077276122856
1041544384134136
1112267968869354
1247ab6b6232620
131a2480712cb20
14a38a8a69b772
154c09e8900cc6
hex25c8ce423bf8

41544384134136 has 128 divisors (see below), whose sum is σ = 118699470489600. Its totient is φ = 12003546839040.

The previous prime is 41544384134131. The next prime is 41544384134137. The reversal of 41544384134136 is 63143148344514.

41544384134136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41544384134131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6592560 + ... + 11249471.

It is an arithmetic number, because the mean of its divisors is an integer number (927339613200).

Almost surely, 241544384134136 is an apocalyptic number.

It is an amenable number.

41544384134136 is an abundant number, since it is smaller than the sum of its proper divisors (77155086355464).

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

41544384134136 is a wasteful number, since it uses less digits than its factorization.

41544384134136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17842509 (or 17842505 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 51.

The spelling of 41544384134136 in words is "forty-one trillion, five hundred forty-four billion, three hundred eighty-four million, one hundred thirty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 312 408 439 442 663 878 884 1317 1326 1756 1768 2634 2652 3512 5268 5304 5707 7463 10536 11414 14926 17121 22389 22828 29852 34242 44778 45656 59704 68484 89556 97019 136968 179112 194038 291057 388076 582114 776152 1164228 2328456 17842031 35684062 53526093 71368124 107052186 142736248 214104372 231946403 303314527 428208744 463892806 606629054 695839209 909943581 927785612 1213258108 1391678418 1819887162 1855571224 2426516216 2783356836 3639774324 3943088851 5566713672 7279548648 7832651609 7886177702 11829266553 15665303218 15772355404 23497954827 23658533106 31330606436 31544710808 46995909654 47317066212 62661212872 93991819308 94634132424 101824470917 133155077353 187983638616 203648941834 266310154706 305473412751 399465232059 407297883668 532620309412 610946825502 798930464118 814595767336 1065240618824 1221893651004 1597860928236 1731016005589 2443787302008 3195721856472 3462032011178 5193048016767 6924064022356 10386096033534 13848128044712 20772192067068 41544384134136