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312343004323040 = 25514831316347793
BaseRepresentation
bin100011100000100110000010…
…1110100100001110011100000
31111221220200220000011200022212
41013001030011310201303200
5311414411433101314130
63024144221215221252
7122535015551235155
oct10701140564416340
91457820800150285
10312343004323040
1190581a191a1a69
122b046200217828
1310538a852419a2
14571b6a6b3422c
152619b5956ee95
hex11c1305d21ce0

312343004323040 has 48 divisors (see below), whose sum is σ = 738407927739888. Its totient is φ = 124852955375616.

The previous prime is 312343004323039. The next prime is 312343004323123. The reversal of 312343004323040 is 40323400343213.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 312343004322988 and 312343004323006.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 657936617 + ... + 658411176.

It is an arithmetic number, because the mean of its divisors is an integer number (15383498494581).

Almost surely, 2312343004323040 is an apocalyptic number.

It is an amenable number.

312343004323040 is an abundant number, since it is smaller than the sum of its proper divisors (426064923416848).

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

312343004323040 is a wasteful number, since it uses less digits than its factorization.

312343004323040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316349291 (or 1316349283 counting only the distinct ones).

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

Adding to 312343004323040 its reverse (40323400343213), we get a palindrome (352666404666253).

The spelling of 312343004323040 in words is "three hundred twelve trillion, three hundred forty-three billion, four million, three hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1483 2966 5932 7415 11864 14830 23728 29660 47456 59320 118640 237280 1316347793 2632695586 5265391172 6581738965 10530782344 13163477930 21061564688 26326955860 42123129376 52653911720 105307823440 210615646880 1952143777019 3904287554038 7808575108076 9760718885095 15617150216152 19521437770190 31234300432304 39042875540380 62468600864608 78085751080760 156171502161520 312343004323040