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318243426912 = 253219449129529
BaseRepresentation
bin1001010000110001100…
…10010101001001100000
31010102102221011010201100
410220120302111021200
520203230304130122
6402110553034400
731664240332035
oct4503062251140
91112387133640
10318243426912
11112a6a132a24
12518170b5a00
132401960ca88
141159001738c
1584290edaac
hex4a18c95260

318243426912 has 144 divisors (see below), whose sum is σ = 954765630000. Its totient is φ = 100273324032.

The previous prime is 318243426901. The next prime is 318243426953. The reversal of 318243426912 is 219624342813.

318243426912 is a `hidden beast` number, since 3 + 182 + 43 + 426 + 9 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

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, 2392164 + ... + 2521692.

It is an arithmetic number, because the mean of its divisors is an integer number (6630316875).

Almost surely, 2318243426912 is an apocalyptic number.

318243426912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 318243426912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477382815000).

318243426912 is an abundant number, since it is smaller than the sum of its proper divisors (636522203088).

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

318243426912 is a wasteful number, since it uses less digits than its factorization.

318243426912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130013 (or 130002 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 318243426912 in words is "three hundred eighteen billion, two hundred forty-three million, four hundred twenty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 449 456 608 684 898 912 1347 1368 1796 1824 2694 2736 3592 4041 5388 5472 7184 8082 8531 10776 14368 16164 17062 21552 25593 32328 34124 43104 51186 64656 68248 76779 102372 129312 129529 136496 153558 204744 259058 272992 307116 388587 409488 518116 614232 777174 818976 1036232 1165761 1228464 1554348 2072464 2331522 2456928 2461051 3108696 4144928 4663044 4922102 6217392 7383153 9326088 9844204 12434784 14766306 18652176 19688408 22149459 29532612 37304352 39376816 44298918 58158521 59065224 78753632 88597836 116317042 118130448 174475563 177195672 232634084 236260896 348951126 354391344 465268168 523426689 697902252 708782688 930536336 1046853378 1105011899 1395804504 1861072672 2093706756 2210023798 2791609008 3315035697 4187413512 4420047596 5583218016 6630071394 8374827024 8840095192 9945107091 13260142788 16749654048 17680190384 19890214182 26520285576 35360380768 39780428364 53040571152 79560856728 106081142304 159121713456 318243426912