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313024220040 = 23357372647881
BaseRepresentation
bin1001000111000011011…
…00101000101110001000
31002220222012021221212010
410203201230220232020
520112033200020130
6355445031215520
731421013653340
oct4434154505610
91086865257763
10313024220040
11110831014614
12507bb2175a0
132369723079c
1411216bb3d20
158220ce70b0
hex48e1b28b88

313024220040 has 64 divisors (see below), whose sum is σ = 1073225900160. Its totient is φ = 71548392960.

The previous prime is 313024220039. The next prime is 313024220057. The reversal of 313024220040 is 40022420313.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 313024219989 and 313024220016.

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, 186323101 + ... + 186324780.

It is an arithmetic number, because the mean of its divisors is an integer number (16769154690).

Almost surely, 2313024220040 is an apocalyptic number.

313024220040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313024220040 is an abundant number, since it is smaller than the sum of its proper divisors (760201680120).

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

313024220040 is a wasteful number, since it uses less digits than its factorization.

313024220040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372647902 (or 372647898 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 313024220040 its reverse (40022420313), we get a palindrome (353046640353).

The spelling of 313024220040 in words is "three hundred thirteen billion, twenty-four million, two hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 372647881 745295762 1117943643 1490591524 1863239405 2235887286 2608535167 2981183048 3726478810 4471774572 5217070334 5589718215 7452957620 7825605501 8943549144 10434140668 11179436430 13042675835 14905915240 15651211002 20868281336 22358872860 26085351670 31302422004 39128027505 44717745720 52170703340 62604844008 78256055010 104341406680 156512110020 313024220040