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313223134014 = 232719241542891
BaseRepresentation
bin1001000111011011000…
…11011011101100111110
31002221111001120211112100
410203231203123230332
520112440110242024
6355520454445530
731425650465430
oct4435543335476
91087431524470
10313223134014
1111092332562a
12508559638a6
13236c94c766b
1411235392650
1582334d97c9
hex48ed8dbb3e

313223134014 has 96 divisors (see below), whose sum is σ = 819810351360. Its totient is φ = 84430252800.

The previous prime is 313223133929. The next prime is 313223134019. The reversal of 313223134014 is 410431322313.

It is a happy number.

313223134014 is a `hidden beast` number, since 31 + 3 + 223 + 1 + 3 + 401 + 4 = 666.

It is a super-3 number, since 3×3132231340143 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313223134019) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 305509 + ... + 848399.

It is an arithmetic number, because the mean of its divisors is an integer number (8539691160).

Almost surely, 2313223134014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313223134014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409905175680).

313223134014 is an abundant number, since it is smaller than the sum of its proper divisors (506587217346).

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

313223134014 is a wasteful number, since it uses less digits than its factorization.

313223134014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543166 (or 543163 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 313223134014 its reverse (410431322313), we get a palindrome (723654456327).

The spelling of 313223134014 in words is "three hundred thirteen billion, two hundred twenty-three million, one hundred thirty-four thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 241 266 342 399 482 723 798 1197 1446 1687 2169 2394 3374 4338 4579 5061 9158 10122 13737 15183 27474 30366 32053 41211 64106 82422 96159 192318 288477 542891 576954 1085782 1628673 3257346 3800237 4886019 7600474 9772038 10314929 11400711 20629858 22801422 30944787 34202133 61889574 68404266 72204503 92834361 130836731 144409006 185668722 216613509 261673462 392510193 433227018 649840527 785020386 915857117 1177530579 1299681054 1831714234 2355061158 2485897889 2747571351 4971795778 5495142702 7457693667 8242714053 14915387334 16485428106 17401285223 22373081001 34802570446 44746162002 52203855669 104407711338 156611567007 313223134014