Search a number
-
+
6129100408144 = 247291887038303
BaseRepresentation
bin101100100110000101011…
…0110100100010101010000
3210200221021112201210111011
41121030022312210111100
51300404344201030034
621011400404500304
71201545551606560
oct131141266442520
923627245653434
106129100408144
111a5337843893a
1282ba3b3aa694
13355c82a5194c
14172915a06da0
15a9672d50864
hex5930ada4550

6129100408144 has 40 divisors (see below), whose sum is σ = 14039564981760. Its totient is φ = 2536179477888.

The previous prime is 6129100408103. The next prime is 6129100408153. The reversal of 6129100408144 is 4418040019216.

It is a happy number.

It is a super-2 number, since 2×61291004081442 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6129100408097 and 6129100408106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 943515904 + ... + 943522399.

It is an arithmetic number, because the mean of its divisors is an integer number (350989124544).

Almost surely, 26129100408144 is an apocalyptic number.

It is an amenable number.

6129100408144 is an abundant number, since it is smaller than the sum of its proper divisors (7910464573616).

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

6129100408144 is a wasteful number, since it uses less digits than its factorization.

6129100408144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1887038347 (or 1887038341 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 6129100408144 in words is "six trillion, one hundred twenty-nine billion, one hundred million, four hundred eight thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 812 1624 3248 1887038303 3774076606 7548153212 13209268121 15096306424 26418536242 30192612848 52837072484 54724110787 105674144968 109448221574 211348289936 218896443148 383068775509 437792886296 766137551018 875585772592 1532275102036 3064550204072 6129100408144