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41131001651454 = 232111330115307011
BaseRepresentation
bin10010101101000100011101…
…01111100010000011111110
312101122002022020001211220100
421112202032233202003332
520342342242410321304
6223251153222501530
711443421364336531
oct1126421657420376
9171562266054810
1041131001651454
1112118618170710
1247435692948a6
1319c48381028a0
14a22a73048a18
154b4da2202439
hex25688ebe20fe

41131001651454 has 96 divisors (see below), whose sum is σ = 104731886383488. Its totient is φ = 11501352072000.

The previous prime is 41131001651423. The next prime is 41131001651527. The reversal of 41131001651454 is 45415610013114.

41131001651454 is a `hidden beast` number, since 4 + 1 + 131 + 0 + 0 + 1 + 6 + 514 + 5 + 4 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 5096809 + ... + 10403819.

It is an arithmetic number, because the mean of its divisors is an integer number (1090957149828).

Almost surely, 241131001651454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41131001651454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52365943191744).

41131001651454 is an abundant number, since it is smaller than the sum of its proper divisors (63600884732034).

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

41131001651454 is a wasteful number, since it uses less digits than its factorization.

41131001651454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5310054 (or 5310051 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 41131001651454 its reverse (45415610013114), we get a palindrome (86546611664568).

The spelling of 41131001651454 in words is "forty-one trillion, one hundred thirty-one billion, one million, six hundred fifty-one thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 858 1287 2574 3011 6022 9033 18066 27099 33121 39143 54198 66242 78286 99363 117429 198726 234858 298089 352287 430573 596178 704574 861146 1291719 2583438 3875157 5307011 7750314 10614022 15921033 31842066 47763099 58377121 68991143 95526198 116754242 137982286 175131363 206973429 350262726 413946858 525394089 620920287 758902573 1050788178 1241840574 1517805146 2276707719 4553415438 6830123157 13660246314 15979410121 31958820242 47938230363 95876460726 143814691089 175773511331 207732331573 287629382178 351547022662 415464663146 527320533993 623196994719 1054641067986 1246393989438 1581961601979 1869590984157 2285055647303 3163923203958 3739181968314 4570111294606 6855166941909 13710333883818 20565500825727 41131001651454