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12413736140 = 2251327350311
BaseRepresentation
bin10111000111110101…
…01001010011001100
31012001010122010122012
423203322221103030
5200410404024030
65411445240352
7616424005361
oct134372512314
935033563565
1012413736140
1152a0259773
1224a54030b8
13122aaa5400
1485a95a468
154c9c49095
hex2e3ea94cc

12413736140 has 72 divisors (see below), whose sum is σ = 28615654368. Its totient is φ = 4520655360.

The previous prime is 12413736121. The next prime is 12413736149. The reversal of 12413736140 is 4163731421.

It is a junction number, because it is equal to n+sod(n) for n = 12413736097 and 12413736106.

It is not an unprimeable number, because it can be changed into a prime (12413736149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221585 + ... + 271895.

It is an arithmetic number, because the mean of its divisors is an integer number (397439644).

Almost surely, 212413736140 is an apocalyptic number.

12413736140 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 12413736140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14307827184).

12413736140 is an abundant number, since it is smaller than the sum of its proper divisors (16201918228).

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

12413736140 is a wasteful number, since it uses less digits than its factorization.

12413736140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50419 (or 50404 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The spelling of 12413736140 in words is "twelve billion, four hundred thirteen million, seven hundred thirty-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 73 130 146 169 260 292 338 365 676 730 845 949 1460 1690 1898 3380 3796 4745 9490 12337 18980 24674 49348 50311 61685 100622 123370 201244 246740 251555 503110 654043 1006220 1308086 2616172 3270215 3672703 6540430 7345406 8502559 13080860 14690812 17005118 18363515 34010236 36727030 42512795 47745139 73454060 85025590 95490278 170051180 190980556 238725695 477451390 620686807 954902780 1241373614 2482747228 3103434035 6206868070 12413736140