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312343300023440 = 245723117043207191
BaseRepresentation
bin100011100000100110001011…
…1011100100010010010010000
31111221220201122121120211000112
41013001030113130202102100
5311414413034301222230
63024144310421140452
7122535026101526360
oct10701142734422220
91457821577524015
10312343300023440
11905820600aa064
122b04628325a728
1310538b0159573a
14571b6d41089a0
152619b754ced95
hex11c1317722490

312343300023440 has 160 divisors (see below), whose sum is σ = 866036728958976. Its totient is φ = 102431712683520.

The previous prime is 312343300023367. The next prime is 312343300023481. The reversal of 312343300023440 is 44320003343213.

It is a junction number, because it is equal to n+sod(n) for n = 312343300023397 and 312343300023406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1507410245 + ... + 1507617435.

Almost surely, 2312343300023440 is an apocalyptic number.

It is an amenable number.

312343300023440 is an abundant number, since it is smaller than the sum of its proper divisors (553693428935536).

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

312343300023440 is a wasteful number, since it uses less digits than its factorization.

312343300023440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324277 (or 324271 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 312343300023440 its reverse (44320003343213), we get a palindrome (356663303366653).

The spelling of 312343300023440 in words is "three hundred twelve trillion, three hundred forty-three billion, three hundred million, twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 112 115 140 161 184 230 280 322 368 460 560 644 805 920 1288 1610 1840 2576 3220 6440 12880 117043 207191 234086 414382 468172 585215 819301 828764 936344 1035955 1170430 1450337 1638602 1657528 1872688 2071910 2340860 2691989 2900674 3277204 3315056 4096505 4143820 4681720 4765393 5383978 5801348 6554408 7251685 8193010 8287640 9363440 9530786 10767956 11602696 13108816 13459945 14503370 16386020 16575280 18843923 19061572 21535912 23205392 23826965 26919890 29006740 32772040 33357751 37687846 38123144 43071824 47653930 53839780 58013480 65544080 66715502 75375692 76246288 94219615 95307860 107679560 116026960 133431004 150751384 166788755 188439230 190615720 215359120 266862008 301502768 333577510 376878460 381231440 533724016 667155020 753756920 1334310040 1507513840 2668620080 24250256213 48500512426 97001024852 121251281065 169751793491 194002049704 242502562130 339503586982 388004099408 485005124260 557755892899 679007173964 848758967455 970010248520 1115511785798 1358014347928 1697517934910 1940020497040 2231023571596 2716028695856 2788779464495 3395035869820 3904291250293 4462047143192 5577558928990 6790071739640 7808582500586 8924094286384 11155117857980 13580143479280 15617165001172 19521456251465 22310235715960 31234330002344 39042912502930 44620471431920 62468660004688 78085825005860 156171650011720 312343300023440