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12431614000 = 245313478139
BaseRepresentation
bin10111001001111101…
…10110000000110000
31012002101021102110011
423210332312000300
5200424443122000
65413324344304
7620031655411
oct134476660060
935071242404
1012431614000
1152aa35a663
1224ab3a5094
1312316c4920
1485d091808
154cb5cb2ba
hex2e4fb6030

12431614000 has 80 divisors (see below), whose sum is σ = 32371990560. Its totient is φ = 4590124800.

The previous prime is 12431613973. The next prime is 12431614007. The reversal of 12431614000 is 41613421.

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

It is not an unprimeable number, because it can be changed into a prime (12431614007) 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, 213070 + ... + 265069.

It is an arithmetic number, because the mean of its divisors is an integer number (404649882).

Almost surely, 212431614000 is an apocalyptic number.

12431614000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12431614000 is an abundant number, since it is smaller than the sum of its proper divisors (19940376560).

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

12431614000 is a wasteful number, since it uses less digits than its factorization.

12431614000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478175 (or 478159 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The spelling of 12431614000 in words is "twelve billion, four hundred thirty-one million, six hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1625 2000 2600 3250 5200 6500 13000 26000 478139 956278 1912556 2390695 3825112 4781390 6215807 7650224 9562780 11953475 12431614 19125560 23906950 24863228 31079035 38251120 47813900 49726456 59767375 62158070 95627800 99452912 119534750 124316140 155395175 191255600 239069500 248632280 310790350 478139000 497264560 621580700 776975875 956278000 1243161400 1553951750 2486322800 3107903500 6215807000 12431614000