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313212431504 = 2471929917817
BaseRepresentation
bin1001000111011001110…
…10100110110010010000
31002221110022110002110002
410203230322212302100
520112424340302004
6355515433225132
731425460511660
oct4435472466220
91087408402402
10313212431504
11110918285685
12508522621a8
13236c721b10b
1411233ba81a0
1582325c361e
hex48ecea6c90

313212431504 has 120 divisors (see below), whose sum is σ = 732797526528. Its totient is φ = 127024381440.

The previous prime is 313212431491. The next prime is 313212431527. The reversal of 313212431504 is 405134212313.

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, 40064204 + ... + 40072020.

Almost surely, 2313212431504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313212431504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366398763264).

313212431504 is an abundant number, since it is smaller than the sum of its proper divisors (419585095024).

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

313212431504 is a wasteful number, since it uses less digits than its factorization.

313212431504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8861 (or 8836 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 313212431504 its reverse (405134212313), we get a palindrome (718346643817).

The spelling of 313212431504 in words is "three hundred thirteen billion, two hundred twelve million, four hundred thirty-one thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 361 532 722 991 1064 1444 1982 2128 2527 2888 3964 5054 5776 6937 7817 7928 10108 13874 15634 15856 18829 20216 27748 31268 37658 40432 54719 55496 62536 75316 109438 110992 125072 131803 148523 150632 218876 263606 297046 301264 357751 437752 527212 594092 715502 875504 1039661 1054424 1188184 1431004 2079322 2108848 2376368 2504257 2821937 2862008 4158644 5008514 5643874 5724016 7746647 8317288 10017028 11287748 15493294 16634576 19753559 20034056 22575496 30986588 39507118 40068112 45150992 54226529 61973176 79014236 108453058 123946352 147186293 158028472 216906116 294372586 316056944 433812232 588745172 867624464 1030304051 1177490344 2060608102 2354980688 2796539567 4121216204 5593079134 8242432408 11186158268 16484864816 19575776969 22372316536 39151553938 44744633072 78303107876 156606215752 313212431504