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12313077040 = 2451114899397
BaseRepresentation
bin10110111011110101…
…01010010100110000
31011210010020010022101
423131322222110300
5200204121431130
65353451550144
7614062266535
oct133572522460
934703203271
1012313077040
115249458030
12247775b354
131212c90904
1484b436d8c
154c0eb41ca
hex2ddeaa530

12313077040 has 80 divisors (see below), whose sum is σ = 31254740640. Its totient is φ = 4473999360.

The previous prime is 12313077037. The next prime is 12313077043. The reversal of 12313077040 is 4077031321.

It is an interprime number because it is at equal distance from previous prime (12313077037) and next prime (12313077043).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×123130770402 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12313077043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1305622 + ... + 1315018.

It is an arithmetic number, because the mean of its divisors is an integer number (390684258).

Almost surely, 212313077040 is an apocalyptic number.

12313077040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12313077040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15627370320).

12313077040 is an abundant number, since it is smaller than the sum of its proper divisors (18941663600).

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

12313077040 is a wasteful number, since it uses less digits than its factorization.

12313077040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10910 (or 10904 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The spelling of 12313077040 in words is "twelve billion, three hundred thirteen million, seventy-seven thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1489 2978 5956 7445 9397 11912 14890 16379 18794 23824 29780 32758 37588 46985 59560 65516 75176 81895 93970 103367 119120 131032 150352 163790 187940 206734 262064 327580 375880 413468 516835 655160 751760 826936 1033670 1310320 1653872 2067340 4134680 8269360 13992133 27984266 55968532 69960665 111937064 139921330 153913463 223874128 279842660 307826926 559685320 615653852 769567315 1119370640 1231307704 1539134630 2462615408 3078269260 6156538520 12313077040