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31144012145240 = 23519346111840209
BaseRepresentation
bin1110001010011010001111…
…10001111110001001011000
311002021100010202101011022012
413011031013301332021120
513040230414102121430
6150123210041445052
76363036440234051
oct705150761761130
9132240122334265
1031144012145240
119a18112a2a1a5
1235abb027a0788
13144bb385815c7
14799541c17728
153901d95d5695
hex1c5347c7e258

31144012145240 has 64 divisors (see below), whose sum is σ = 73783452636000. Its totient is φ = 11798530467840.

The previous prime is 31144012145219. The next prime is 31144012145273. The reversal of 31144012145240 is 4254121044113.

It is a super-3 number, since 3×311440121452403 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31144012145197 and 31144012145206.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3289745 + ... + 8550464.

Almost surely, 231144012145240 is an apocalyptic number.

It is an amenable number.

31144012145240 is an abundant number, since it is smaller than the sum of its proper divisors (42639440490760).

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

31144012145240 is a wasteful number, since it uses less digits than its factorization.

31144012145240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11843700 (or 11843696 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

Adding to 31144012145240 its reverse (4254121044113), we get a palindrome (35398133189353).

The spelling of 31144012145240 in words is "thirty-one trillion, one hundred forty-four billion, twelve million, one hundred forty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 3461 6922 13844 17305 27688 34610 65759 69220 131518 138440 263036 328795 526072 657590 1315180 2630360 11840209 23680418 47360836 59201045 94721672 118402090 224963971 236804180 449927942 473608360 899855884 1124819855 1799711768 2249639710 4499279420 8998558840 40978963349 81957926698 163915853396 204894816745 327831706792 409789633490 778600303631 819579266980 1557200607262 1639158533960 3114401214524 3893001518155 6228802429048 7786003036310 15572006072620 31144012145240