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125413014114 = 23237491383519
BaseRepresentation
bin111010011001100110…
…0101011101001100010
3102222201020201012220200
41310303030223221202
54023321212422424
6133340340050030
712026565013443
oct1646314535142
9388636635820
10125413014114
1149207416803
1220380693916
13ba98792cbb
1460da1d92ca
1533e02e18c9
hex1d3332ba62

125413014114 has 48 divisors (see below), whose sum is σ = 279641306880. Its totient is φ = 40591545120.

The previous prime is 125413014073. The next prime is 125413014119. The reversal of 125413014114 is 411410314521.

It is a happy number.

125413014114 is a `hidden beast` number, since 1 + 2 + 541 + 3 + 0 + 1 + 4 + 114 = 666.

125413014114 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (125413014119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135247 + ... + 518765.

It is an arithmetic number, because the mean of its divisors is an integer number (5825860560).

Almost surely, 2125413014114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125413014114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139820653440).

125413014114 is an abundant number, since it is smaller than the sum of its proper divisors (154228292766).

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

125413014114 is a wasteful number, since it uses less digits than its factorization.

125413014114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384055 (or 384052 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 125413014114 its reverse (411410314521), we get a palindrome (536823328635).

The spelling of 125413014114 in words is "one hundred twenty-five billion, four hundred thirteen million, fourteen thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 491 666 982 1473 2946 4419 8838 18167 36334 54501 109002 163503 327006 383519 767038 1150557 2301114 3451671 6903342 14190203 28380406 42570609 85141218 127711827 188307829 255423654 376615658 564923487 1129846974 1694770461 3389540922 6967389673 13934779346 20902169019 41804338038 62706507057 125413014114