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31416068304 = 24321493833823
BaseRepresentation
bin11101010000100010…
…110010100011010000
310000002102212121220100
4131100202302203100
51003320003141204
622233215212400
72161343113605
oct352042624320
9100072777810
1031416068304
1112361608115
126109217100
132c6887b53a
1417405406ac
15c3d0e4a39
hex7508b28d0

31416068304 has 120 divisors (see below), whose sum is σ = 88765747200. Its totient is φ = 10371868416.

The previous prime is 31416068297. The next prime is 31416068311. The reversal of 31416068304 is 40386061413.

It is a happy number.

31416068304 is a `hidden beast` number, since 3 + 1 + 41 + 606 + 8 + 3 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (31416068297) and next prime (31416068311).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8215737 + ... + 8219559.

It is an arithmetic number, because the mean of its divisors is an integer number (739714560).

Almost surely, 231416068304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31416068304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44382873600).

31416068304 is an abundant number, since it is smaller than the sum of its proper divisors (57349678896).

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

31416068304 is a wasteful number, since it uses less digits than its factorization.

31416068304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4369 (or 4360 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 31416068304 in words is "thirty-one billion, four hundred sixteen million, sixty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 149 298 383 447 596 766 894 1149 1192 1341 1532 1788 2298 2384 2682 3064 3447 3576 3823 4596 5364 6128 6894 7152 7646 9192 10728 11469 13788 15292 18384 21456 22938 27576 30584 34407 45876 55152 57067 61168 68814 91752 114134 137628 171201 183504 228268 275256 342402 456536 513603 550512 569627 684804 913072 1027206 1139254 1369608 1464209 1708881 2054412 2278508 2739216 2928418 3417762 4108824 4392627 4557016 5126643 5856836 6835524 8217648 8785254 9114032 10253286 11713672 13177881 13671048 17570508 20506572 23427344 26355762 27342096 35141016 41013144 52711524 70282032 82026288 105423048 210846096 218167141 436334282 654501423 872668564 1309002846 1745337128 1963504269 2618005692 3490674256 3927008538 5236011384 7854017076 10472022768 15708034152 31416068304