Search a number
-
+
234616145120 = 2557209478701
BaseRepresentation
bin1101101010000000110…
…1100100010011100000
3211102120210200001112022
43122200031210103200
512320443213120440
6255440422121012
722644002220620
oct3324015442340
9742523601468
10234616145120
11905557743a5
1239578580168
131917cb65196
14b4d962a880
15618247ecb5
hex36a03644e0

234616145120 has 48 divisors (see below), whose sum is σ = 633463594848. Its totient is φ = 80439820800.

The previous prime is 234616145119. The next prime is 234616145209. The reversal of 234616145120 is 21541616432.

234616145120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 104738231 + ... + 104740470.

It is an arithmetic number, because the mean of its divisors is an integer number (13197158226).

Almost surely, 2234616145120 is an apocalyptic number.

234616145120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234616145120 is an abundant number, since it is smaller than the sum of its proper divisors (398847449728).

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

234616145120 is a wasteful number, since it uses less digits than its factorization.

234616145120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209478723 (or 209478715 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 234616145120 in words is "two hundred thirty-four billion, six hundred sixteen million, one hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 209478701 418957402 837914804 1047393505 1466350907 1675829608 2094787010 2932701814 3351659216 4189574020 5865403628 6703318432 7331754535 8379148040 11730807256 14663509070 16758296080 23461614512 29327018140 33516592160 46923229024 58654036280 117308072560 234616145120