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31423411432413 = 327111310732598151
BaseRepresentation
bin1110010010100010101010…
…10001101010101111011101
311010021001022120102112201100
413021101111101222233131
513104320121311314123
6150455414350103313
76422160300054240
oct711212521525735
9133231276375640
1031423411432413
11a015659601aa0
123636098aaab39
13146c2a441a3c0
147a8c88d83257
153975dd419643
hex1c945546abdd

31423411432413 has 96 divisors (see below), whose sum is σ = 61511930468352. Its totient is φ = 14927344848000.

The previous prime is 31423411432373. The next prime is 31423411432423.

31423411432413 is a `hidden beast` number, since 3 + 1 + 4 + 234 + 1 + 1 + 4 + 3 + 2 + 413 = 666.

31423411432413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31423411432413 - 212 = 31423411428317 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31423411432423) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15335113 + ... + 17263038.

It is an arithmetic number, because the mean of its divisors is an integer number (640749275712).

Almost surely, 231423411432413 is an apocalyptic number.

31423411432413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31423411432413 is a deficient number, since it is larger than the sum of its proper divisors (30088519035939).

31423411432413 is a wasteful number, since it uses less digits than its factorization.

31423411432413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32598295 (or 32598292 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

It can be divided in two parts, 3142341 and 1432413, that added together give a palindrome (4574754).

The spelling of 31423411432413 in words is "thirty-one trillion, four hundred twenty-three billion, four hundred eleven million, four hundred thirty-two thousand, four hundred thirteen".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 107 117 143 231 273 321 429 693 749 819 963 1001 1177 1287 1391 2247 3003 3531 4173 6741 8239 9009 9737 10593 12519 15301 24717 29211 45903 74151 87633 107107 137709 321321 963963 32598151 97794453 228187057 293383359 358579661 423775963 684561171 1075738983 1271327889 2053683513 2510057627 2966431741 3227216949 3488002157 3813983667 4661535593 7530172881 8899295223 10464006471 13984606779 22590518643 24416015099 26697885669 31392019413 32630749151 38368023727 41953820337 45344028041 73248045297 97892247453 115104071181 136032084123 219744135891 268576166089 293676742359 317408196287 345312213543 408096252369 498784308451 805728498267 952224588861 1496352925353 2417185494801 2856673766583 3491490159157 4489058776059 10474470477471 31423411432413