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12314665044 = 22321141799601
BaseRepresentation
bin10110111100000001…
…01110000001010100
31011210020012210122100
423132000232001110
5200210023240134
65353550002100
7614111632353
oct133600560124
934706183570
1012314665044
11524a342130
1224781a6330
1312133c8666
1484b72b99a
154c11c9999
hex2de02e054

12314665044 has 144 divisors (see below), whose sum is σ = 35230890240. Its totient is φ = 3594240000.

The previous prime is 12314665021. The next prime is 12314665093. The reversal of 12314665044 is 44056641321.

12314665044 is a `hidden beast` number, since 1 + 2 + 3 + 146 + 6 + 504 + 4 = 666.

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 47 ways as a sum of consecutive naturals, for example, 1277844 + ... + 1287444.

It is an arithmetic number, because the mean of its divisors is an integer number (244658960).

Almost surely, 212314665044 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 12314665044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17615445120).

12314665044 is an abundant number, since it is smaller than the sum of its proper divisors (22916225196).

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

12314665044 is a wasteful number, since it uses less digits than its factorization.

12314665044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9742 (or 9737 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 12314665044 in words is "twelve billion, three hundred fourteen million, six hundred sixty-five thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 41 44 66 79 82 99 123 132 158 164 198 237 246 316 369 396 451 474 492 711 738 869 902 948 1353 1422 1476 1738 1804 2607 2706 2844 3239 3476 4059 5214 5412 6478 7821 8118 9601 9717 10428 12956 15642 16236 19202 19434 28803 29151 31284 35629 38404 38868 57606 58302 71258 86409 105611 106887 115212 116604 142516 172818 211222 213774 316833 320661 345636 393641 422444 427548 633666 641322 758479 787282 950499 1180923 1267332 1282644 1516958 1574564 1900998 2275437 2361846 3033916 3542769 3801996 4330051 4550874 4723692 6826311 7085538 8343269 8660102 9101748 12990153 13652622 14171076 16686538 17320204 25029807 25980306 27305244 31097639 33373076 38970459 50059614 51960612 62195278 75089421 77940918 93292917 100119228 124390556 150178842 155881836 186585834 279878751 300357684 342074029 373171668 559757502 684148058 1026222087 1119515004 1368296116 2052444174 3078666261 4104888348 6157332522 12314665044