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312343233000042 = 231943922432782489
BaseRepresentation
bin100011100000100110001001…
…1011100110111001001101010
31111221220201110221110200012110
41013001030103130313021222
5311414412420122000132
63024144300024423150
7122535024326041026
oct10701142334671152
91457821427420173
10312343233000042
1190582026291422
122b046264917ab6
1310538ac0729a1a
14571b6c925d386
152619b6e6911cc
hex11c131373726a

312343233000042 has 64 divisors (see below), whose sum is σ = 659356638336000. Its totient is φ = 98366115097728.

The previous prime is 312343233000017. The next prime is 312343233000067. The reversal of 312343233000042 is 240000332343213.

It is an interprime number because it is at equal distance from previous prime (312343233000017) and next prime (312343233000067).

It is a junction number, because it is equal to n+sod(n) for n = 312343232999973 and 312343233000009.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110861934 + ... + 113644422.

It is an arithmetic number, because the mean of its divisors is an integer number (10302447474000).

Almost surely, 2312343233000042 is an apocalyptic number.

312343233000042 is an abundant number, since it is smaller than the sum of its proper divisors (347013405335958).

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

312343233000042 is a wasteful number, since it uses less digits than its factorization.

312343233000042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785195.

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 312343233000042 its reverse (240000332343213), we get a palindrome (552343565343255).

The spelling of 312343233000042 in words is "three hundred twelve trillion, three hundred forty-three billion, two hundred thirty-three million, forty-two", and thus it is an aban number.

Divisors: 1 2 3 6 19 38 57 114 439 878 1317 2243 2634 4486 6729 8341 13458 16682 25023 42617 50046 85234 127851 255702 984677 1969354 2782489 2954031 5564978 5908062 8347467 16694934 18708863 37417726 52867291 56126589 105734582 112253178 158601873 317203746 1221512671 2443025342 3664538013 6241122827 7329076026 12482245654 18723368481 23208740749 37446736962 46417481498 69626222247 118581333713 139252444494 237162667426 355744001139 711488002278 2739852921053 5479705842106 8219558763159 16439117526318 52057205500007 104114411000014 156171616500021 312343233000042