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146225102611032 = 23322030904202931
BaseRepresentation
bin100001001111110110101111…
…010011000110001001011000
3201011201222112211001112200100
4201033312233103012021120
5123131223002232023112
61234554515040135400
742541262233314204
oct4117665723061130
9634658484045610
10146225102611032
1142656799386025
12144974a3007560
136378c77941c53
142817493015b04
1511d89b55d92dc
hex84fdaf4c6258

146225102611032 has 24 divisors (see below), whose sum is σ = 396026319571740. Its totient is φ = 48741700870320.

The previous prime is 146225102611031. The next prime is 146225102611121. The reversal of 146225102611032 is 230116201522641.

146225102611032 is a `hidden beast` number, since 1 + 4 + 6 + 2 + 2 + 5 + 1 + 0 + 2 + 611 + 0 + 32 = 666.

146225102611032 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146225102611031) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1015452101394 + ... + 1015452101537.

Almost surely, 2146225102611032 is an apocalyptic number.

146225102611032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146225102611032 is an abundant number, since it is smaller than the sum of its proper divisors (249801216960708).

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

146225102611032 is a wasteful number, since it uses less digits than its factorization.

146225102611032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2030904202943 (or 2030904202936 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 146225102611032 in words is "one hundred forty-six trillion, two hundred twenty-five billion, one hundred two million, six hundred eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2030904202931 4061808405862 6092712608793 8123616811724 12185425217586 16247233623448 18278137826379 24370850435172 36556275652758 48741700870344 73112551305516 146225102611032