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311514354342 = 232471073441311
BaseRepresentation
bin1001000100001111011…
…00111101001010100110
31002210001222012211111100
410202013230331022212
520100440133314332
6355035133420530
731335421215462
oct4420754751246
91083058184440
10311514354342
11110126806124
125045963a746
13234b6495b29
14111124634a2
15818349e67c
hex4887b3d2a6

311514354342 has 48 divisors (see below), whose sum is σ = 695750694912. Its totient is φ = 100678965360.

The previous prime is 311514354299. The next prime is 311514354343. The reversal of 311514354342 is 243453415113.

311514354342 is a `hidden beast` number, since 31 + 1 + 5 + 1 + 43 + 543 + 42 = 666.

It is a super-2 number, since 2×3115143543422 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 311514354297 and 311514354306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311514354343) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1630134 + ... + 1811177.

It is an arithmetic number, because the mean of its divisors is an integer number (14494806144).

Almost surely, 2311514354342 is an apocalyptic number.

311514354342 is an abundant number, since it is smaller than the sum of its proper divisors (384236340570).

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

311514354342 is a wasteful number, since it uses less digits than its factorization.

311514354342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3441473 (or 3441470 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

Adding to 311514354342 its reverse (243453415113), we get a palindrome (554967769455).

It can be divided in two parts, 311514 and 354342, that added together give a square (665856 = 8162).

The spelling of 311514354342 in words is "three hundred eleven billion, five hundred fourteen million, three hundred fifty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 47 94 107 141 214 282 321 423 642 846 963 1926 5029 10058 15087 30174 45261 90522 3441311 6882622 10323933 20647866 30971799 61943598 161741617 323483234 368220277 485224851 736440554 970449702 1104660831 1455674553 2209321662 2911349106 3313982493 6627964986 17306353019 34612706038 51919059057 103838118114 155757177171 311514354342