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13412343010400 = 2552167100391789
BaseRepresentation
bin1100001100101100110111…
…1100001101010001100000
31202111012121020121210102122
43003023031330031101200
53224221434302313100
644305313442203412
72553003235352435
oct303131574152140
952435536553378
1013412343010400
114301162a74534
12160749a653568
13763a17537bb9
143452375b3b8c
15183d449a8985
hexc32cdf0d460

13412343010400 has 72 divisors (see below), whose sum is σ = 32938947866160. Its totient is φ = 5332811778560.

The previous prime is 13412343010397. The next prime is 13412343010411. The reversal of 13412343010400 is 401034321431.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13412343010400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50062295 + ... + 50329494.

It is an arithmetic number, because the mean of its divisors is an integer number (457485387030).

Almost surely, 213412343010400 is an apocalyptic number.

13412343010400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13412343010400 is an abundant number, since it is smaller than the sum of its proper divisors (19526604855760).

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

13412343010400 is a wasteful number, since it uses less digits than its factorization.

13412343010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100391976 (or 100391963 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 13412343010400 its reverse (401034321431), we get a palindrome (13813377331831).

The spelling of 13412343010400 in words is "thirteen trillion, four hundred twelve billion, three hundred forty-three million, ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 167 200 334 400 668 800 835 1336 1670 2672 3340 4175 5344 6680 8350 13360 16700 26720 33400 66800 133600 100391789 200783578 401567156 501958945 803134312 1003917890 1606268624 2007835780 2509794725 3212537248 4015671560 5019589450 8031343120 10039178900 16062686240 16765428763 20078357800 33530857526 40156715600 67061715052 80313431200 83827143815 134123430104 167654287630 268246860208 335308575260 419135719075 536493720416 670617150520 838271438150 1341234301040 1676542876300 2682468602080 3353085752600 6706171505200 13412343010400