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318960419056 = 243141151241431
BaseRepresentation
bin1001010010000111000…
…01011100000011110000
31010111021220022010000221
410221003201130003300
520211212331402211
6402310044422424
732021064554116
oct4510341340360
91114256263027
10318960419056
111132a7928814
1251997247a14
132410201b496
141161b335ab6
15846c02ac71
hex4a4385c0f0

318960419056 has 160 divisors (see below), whose sum is σ = 662069624832. Its totient is φ = 148608000000.

The previous prime is 318960419033. The next prime is 318960419083. The reversal of 318960419056 is 650914069813.

It is a super-2 number, since 2×3189604190562 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 318960418994 and 318960419012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 740047161 + ... + 740047591.

Almost surely, 2318960419056 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 318960419056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331034812416).

318960419056 is an abundant number, since it is smaller than the sum of its proper divisors (343109205776).

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

318960419056 is a wasteful number, since it uses less digits than its factorization.

318960419056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 52.

The spelling of 318960419056 in words is "three hundred eighteen billion, nine hundred sixty million, four hundred nineteen thousand, fifty-six".

Divisors: 1 2 4 8 16 31 41 62 82 124 151 164 241 248 302 328 431 482 496 604 656 862 964 1208 1271 1724 1928 2416 2542 3448 3856 4681 5084 6191 6896 7471 9362 9881 10168 12382 13361 14942 17671 18724 19762 20336 24764 26722 29884 35342 36391 37448 39524 49528 53444 59768 65081 70684 72782 74896 79048 99056 103871 106888 119536 130162 141368 145564 158096 191921 207742 213776 260324 282736 291128 306311 383842 415484 520648 547801 582256 612622 767684 830968 1041296 1095602 1128121 1225244 1492031 1535368 1661936 2017511 2191204 2256242 2450488 2668321 2984062 3070736 3220001 4035022 4258711 4382408 4512484 4900976 5336642 5968124 6440002 8070044 8517422 8764816 9024968 10673284 11936248 12880004 15684521 16140088 17034844 18049936 21346568 23872496 25760008 31369042 32280176 34069688 42693136 46252961 51520016 62738084 68139376 82717951 92505922 125476168 132020041 165435902 185011844 250952336 264040082 330871804 370023688 486220151 528080164 643065361 661743608 740047376 972440302 1056160328 1286130722 1323487216 1944880604 2112320656 2572261444 3889761208 5144522888 7779522416 10289045776 19935026191 39870052382 79740104764 159480209528 318960419056