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314922701192 = 2311217210612
BaseRepresentation
bin1001001010100101101…
…10110001000110001000
31010002212111121210101212
410211102312301012020
520124430202414232
6400401250232252
731516035535661
oct4452266610610
91102774553355
10314922701192
11111615722600
125104ab85688
132390a651c08
1411356da4368
1582d2804eb2
hex4952db1188

314922701192 has 108 divisors (see below), whose sum is σ = 690115150095. Its totient is φ = 134599308800.

The previous prime is 314922701183. The next prime is 314922701251. The reversal of 314922701192 is 291107229413.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 282116073316 + 32806627876 = 531146^2 + 181126^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=396814.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 296816342 + ... + 296817402.

Almost surely, 2314922701192 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 314922701192

314922701192 is an abundant number, since it is smaller than the sum of its proper divisors (375192448903).

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

314922701192 is a wasteful number, since it uses less digits than its factorization.

314922701192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2184 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 41.

The spelling of 314922701192 in words is "three hundred fourteen billion, nine hundred twenty-two million, seven hundred one thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 121 136 187 242 289 374 484 578 748 968 1061 1156 1496 2057 2122 2312 3179 4114 4244 6358 8228 8488 11671 12716 16456 18037 23342 25432 34969 36074 46684 69938 72148 93368 128381 139876 144296 198407 256762 279752 306629 396814 513524 613258 793628 1027048 1125721 1226516 1587256 2182477 2251442 2453032 3372919 4364954 4502884 6745838 8729908 9005768 12382931 13491676 17459816 19137257 24765862 26983352 37102109 38274514 49531724 74204218 76549028 99063448 136212241 148408436 153098056 210509827 272424482 296816872 325333369 421019654 544848964 650666738 842039308 1089697928 1301333476 1684078616 2315608097 2602666952 3578667059 4631216194 7157334118 9262432388 14314668236 18524864776 28629336472 39365337649 78730675298 157461350596 314922701192