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124694440641 = 3231237972
BaseRepresentation
bin111010000100001011…
…1100010101011000001
3102220212011120220102100
41310020113202223001
54020333234100031
6133141150341013
712003021154161
oct1641027425301
9386764526370
10124694440641
1148978840931
12201bbaba769
13b9b294c8b4
14606c9c85a1
15339c1a0de6
hex1d085e2ac1

124694440641 has 27 divisors (see below), whose sum is σ = 186160779363. Its totient is φ = 80426838960.

The previous prime is 124694440589. The next prime is 124694440657. The reversal of 124694440641 is 146044496421.

It is a happy number.

The square root of 124694440641 is 353121.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1636607025 + 123057833616 = 40455^2 + 350796^2 .

It is not a de Polignac number, because 124694440641 - 225 = 124660886209 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (124694440691) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 32838355 + ... + 32842151.

Almost surely, 2124694440641 is an apocalyptic number.

124694440641 is the 353121-st square number.

124694440641 is the 176561-st centered octagonal number.

It is an amenable number.

124694440641 is a deficient number, since it is larger than the sum of its proper divisors (61466338722).

124694440641 is an frugal number, since it uses more digits than its factorization.

124694440641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7662 (or 3831 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 124694440641 in words is "one hundred twenty-four billion, six hundred ninety-four million, four hundred forty thousand, six hundred forty-one".

Divisors: 1 3 9 31 93 279 961 2883 3797 8649 11391 34173 117707 353121 1059363 3648917 10946751 14417209 32840253 43251627 129754881 446933479 1340800437 4022401311 13854937849 41564813547 124694440641