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2317382885142 = 2331328171916339
BaseRepresentation
bin100001101110001110110…
…010001001111100010110
322012112120101201221022000
4201232032302021330112
5300432000004311032
64532331353420130
7326265623342013
oct41561662117426
98175511657260
102317382885142
11813884251a66
1231515aa0a646
1313a6b37b4820
148023a49c70a
1540431795e7c
hex21b8ec89f16

2317382885142 has 128 divisors (see below), whose sum is σ = 5573691648000. Its totient is φ = 709471768320.

The previous prime is 2317382885131. The next prime is 2317382885161. The reversal of 2317382885142 is 2415882837132.

2317382885142 is a `hidden beast` number, since 2 + 3 + 17 + 38 + 2 + 88 + 514 + 2 = 666.

2317382885142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 141823209 + ... + 141839547.

It is an arithmetic number, because the mean of its divisors is an integer number (43544466000).

Almost surely, 22317382885142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2317382885142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2786845824000).

2317382885142 is an abundant number, since it is smaller than the sum of its proper divisors (3256308762858).

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

2317382885142 is a wasteful number, since it uses less digits than its factorization.

2317382885142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17363 (or 17357 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 2317382885142 in words is "two trillion, three hundred seventeen billion, three hundred eighty-two million, eight hundred eighty-five thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 281 351 562 702 719 843 1438 1686 2157 2529 3653 4314 5058 6471 7306 7587 9347 10959 12942 15174 16339 18694 19413 21918 28041 32678 32877 38826 49017 56082 65754 84123 98034 98631 147051 168246 197262 202039 212407 252369 294102 404078 424814 441153 504738 606117 637221 882306 1212234 1274442 1818351 1911663 2626507 3636702 3823326 4591259 5253014 5455053 5734989 7879521 9182518 10910106 11469978 11747741 13773777 15759042 23495482 23638563 27547554 35243223 41321331 47277126 59686367 70486446 70915689 82642662 105729669 119372734 123963993 141831378 152720633 179059101 211459338 247927986 305441266 317189007 358118202 458161899 537177303 634378014 916323798 1074354606 1374485697 1611531909 2748971394 3223063818 3301115221 4123457091 6602230442 8246914182 9903345663 19806691326 29710036989 42914497873 59420073978 85828995746 89130110967 128743493619 178260221934 257486987238 386230480857 772460961714 1158691442571 2317382885142