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312332424031404 = 223273139981109067
BaseRepresentation
bin100011100000100001000111…
…1001011111010110010101100
31111221212200120122111011201200
41013001002033023322302230
5311414223301023001104
63024135311303005500
7122534162426236650
oct10701021713726254
91457780518434650
10312332424031404
1190578489970297
122b044148a39890
1310537a8a2693aa
14571ad818b8a60
15261973a788b39
hex11c108f2facac

312332424031404 has 72 divisors (see below), whose sum is σ = 931399916848128. Its totient is φ = 86359195582560.

The previous prime is 312332424031391. The next prime is 312332424031421. The reversal of 312332424031404 is 404130424233213.

312332424031404 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 3 + 2 + 4 + 240 + 3 + 1 + 404 = 666.

It is a super-2 number, since 2×3123324240314042 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 19990546722 + ... + 19990562345.

It is an arithmetic number, because the mean of its divisors is an integer number (12936109956224).

Almost surely, 2312332424031404 is an apocalyptic number.

It is an amenable number.

312332424031404 is an abundant number, since it is smaller than the sum of its proper divisors (619067492816724).

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

312332424031404 is a wasteful number, since it uses less digits than its factorization.

312332424031404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39981109115 (or 39981109110 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 312332424031404 its reverse (404130424233213), we get a palindrome (716462848264617).

The spelling of 312332424031404 in words is "three hundred twelve trillion, three hundred thirty-two billion, four hundred twenty-four million, thirty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 868 1116 1302 1953 2604 3906 7812 39981109067 79962218134 119943327201 159924436268 239886654402 279867763469 359829981603 479773308804 559735526938 719659963206 839603290407 1119471053876 1239414381077 1439319926412 1679206580814 2478828762154 2518809871221 3358413161628 3718243143231 4957657524308 5037619742442 7436486286462 8675900667539 10075239484884 11154729429693 14872972572924 17351801335078 22309458859386 26027702002617 34703602670156 44618917718772 52055404005234 78083106007851 104110808010468 156166212015702 312332424031404