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31412254005 = 355112434969
BaseRepresentation
bin11101010000010100…
…001111010100110101
310000002011200211200000
4131100110033110311
51003313014112010
622233001341513
72161265516316
oct352024172465
9100064624600
1031412254005
111235a442400
126107a97899
132c67b44362
14173dc2a60d
15c3cade7c0
hex75050f535

31412254005 has 144 divisors (see below), whose sum is σ = 63520416960. Its totient is φ = 14872999680.

The previous prime is 31412254001. The next prime is 31412254063. The reversal of 31412254005 is 50045221413.

31412254005 is a `hidden beast` number, since 31 + 4 + 1 + 225 + 400 + 5 = 666.

It is not a de Polignac number, because 31412254005 - 22 = 31412254001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 31412254005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31412254001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6319161 + ... + 6324129.

Almost surely, 231412254005 is an apocalyptic number.

It is an amenable number.

31412254005 is an abundant number, since it is smaller than the sum of its proper divisors (32108162955).

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

31412254005 is a wasteful number, since it uses less digits than its factorization.

31412254005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5054 (or 5031 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 31412254005 its reverse (50045221413), we get a palindrome (81457475418).

The spelling of 31412254005 in words is "thirty-one billion, four hundred twelve million, two hundred fifty-four thousand, five".

Divisors: 1 3 5 9 11 15 27 33 43 45 55 81 99 121 129 135 165 215 243 297 363 387 405 473 495 605 645 891 1089 1161 1215 1419 1485 1815 1935 2365 2673 3267 3483 4257 4455 4969 5203 5445 5805 7095 9801 10449 12771 13365 14907 15609 16335 17415 21285 24845 26015 29403 38313 44721 46827 49005 52245 54659 63855 74535 78045 114939 134163 140481 147015 163977 191565 213667 223605 234135 273295 402489 421443 491931 574695 601249 641001 670815 702405 819885 1068335 1207467 1264329 1475793 1803747 1923003 2012445 2107215 2350337 2459655 3006245 3205005 4427379 5411241 5769009 6037335 6321645 7051011 7378965 9018735 9615015 11751685 13282137 16233723 17307027 21153033 22136895 25853707 27056205 28845045 35255055 48701169 51921081 63459099 66410685 77561121 81168615 86535135 105765165 129268535 146103507 190377297 232683363 243505845 259605405 317295495 387805605 571131891 698050089 730517535 951886485 1163416815 2094150267 2855659455 3490250445 6282450801 10470751335 31412254005