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312400141434 = 232611823156071
BaseRepresentation
bin1001000101111000111…
…11111101110001111010
31002212100200222110221200
410202330133331301322
520104243414011214
6355303055115030
731366365250233
oct4427437756172
91085320873850
10312400141434
11110540810077
1250666212a76
13235c7b541c4
1411197d6008a
1581d611ed09
hex48bc7fdc7a

312400141434 has 48 divisors (see below), whose sum is σ = 688344943104. Its totient is φ = 102369434400.

The previous prime is 312400141429. The next prime is 312400141441. The reversal of 312400141434 is 434141004213.

312400141434 is a `hidden beast` number, since 3 + 1 + 240 + 0 + 1 + 414 + 3 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 312400141398 and 312400141407.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1923619 + ... + 2079689.

It is an arithmetic number, because the mean of its divisors is an integer number (14340519648).

Almost surely, 2312400141434 is an apocalyptic number.

312400141434 is an abundant number, since it is smaller than the sum of its proper divisors (375944801670).

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

312400141434 is a wasteful number, since it uses less digits than its factorization.

312400141434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157963 (or 157960 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 312400141434 its reverse (434141004213), we get a palindrome (746541145647).

The spelling of 312400141434 in words is "three hundred twelve billion, four hundred million, one hundred forty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 61 122 183 366 549 1098 1823 3646 5469 10938 16407 32814 111203 156071 222406 312142 333609 468213 667218 936426 1000827 1404639 2001654 2809278 9520331 19040662 28560993 57121986 85682979 171365958 284517433 569034866 853552299 1707104598 2560656897 5121313794 17355563413 34711126826 52066690239 104133380478 156200070717 312400141434