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10014133553141 = 375318749272369
BaseRepresentation
bin1001000110111001100011…
…0111111000011111110101
31022110100020012000010212112
42101232120313320133311
52303032421142200031
633144232432100405
72052332364512504
oct221563067703765
938410205003775
1010014133553141
113210a74360753
121158981094705
13578437328213
1426898824c83b
15125755b5762b
hex91b98df87f5

10014133553141 has 16 divisors (see below), whose sum is σ = 10479435750000. Its totient is φ = 9559097054208.

The previous prime is 10014133553117. The next prime is 10014133553147. The reversal of 10014133553141 is 14135533141001.

It can be written as a sum of positive squares in 8 ways, for example, as 1859824972516 + 8154308580625 = 1363754^2 + 2855575^2 .

It is a cyclic number.

It is not a de Polignac number, because 10014133553141 - 26 = 10014133553077 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10014133553098 and 10014133553107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10014133553147) 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, 36630605 + ... + 36902973.

It is an arithmetic number, because the mean of its divisors is an integer number (654964734375).

Almost surely, 210014133553141 is an apocalyptic number.

It is an amenable number.

10014133553141 is a deficient number, since it is larger than the sum of its proper divisors (465302196859).

10014133553141 is a wasteful number, since it uses less digits than its factorization.

10014133553141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291208.

The product of its (nonzero) digits is 10800, while the sum is 32.

Adding to 10014133553141 its reverse (14135533141001), we get a palindrome (24149666694142).

It can be divided in two parts, 1001413 and 3553141, that added together give a palindrome (4554554).

The spelling of 10014133553141 in words is "ten trillion, fourteen billion, one hundred thirty-three million, five hundred fifty-three thousand, one hundred forty-one".

Divisors: 1 37 53 1961 18749 272369 693713 993697 10077653 14435557 36766789 534115609 5106646381 188945916097 270652258193 10014133553141