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313423421920 = 25571272203483
BaseRepresentation
bin1001000111110010111…
…11011110000111100000
31002222000000110111212221
410203321133132013200
520113342344000140
6355552411400424
731433632062250
oct4437137360740
91088000414787
10313423421920
11110a16394924
12508b0a53114
132372bb52a0b
1411253c0b960
158245d9e14a
hex48f97de1e0

313423421920 has 96 divisors (see below), whose sum is σ = 852906958848. Its totient is φ = 106613273088.

The previous prime is 313423421917. The next prime is 313423421939. The reversal of 313423421920 is 29124324313.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 959502 + ... + 1243981.

It is an arithmetic number, because the mean of its divisors is an integer number (8884447488).

Almost surely, 2313423421920 is an apocalyptic number.

It is an amenable number.

313423421920 is an abundant number, since it is smaller than the sum of its proper divisors (539483536928).

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

313423421920 is a wasteful number, since it uses less digits than its factorization.

313423421920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2203632 (or 2203624 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The spelling of 313423421920 in words is "three hundred thirteen billion, four hundred twenty-three million, four hundred twenty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 127 140 160 224 254 280 508 560 635 889 1016 1120 1270 1778 2032 2540 3556 4064 4445 5080 7112 8890 10160 14224 17780 20320 28448 35560 71120 142240 2203483 4406966 8813932 11017415 15424381 17627864 22034830 30848762 35255728 44069660 61697524 70511456 77121905 88139320 123395048 154243810 176278640 246790096 279842341 308487620 352557280 493580192 559684682 616975240 1119369364 1233950480 1399211705 1958896387 2238738728 2467900960 2798423410 3917792774 4477477456 5596846820 7835585548 8954954912 9794481935 11193693640 15671171096 19588963870 22387387280 31342342192 39177927740 44774774560 62684684384 78355855480 156711710960 313423421920