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230445323544032 = 25173469122113787
BaseRepresentation
bin110100011001011010111011…
…101001100110010111100000
31010012221100122211010210002022
4310121122323221212113200
5220201104010311402112
62134041041541441012
766353060641462262
oct6431327351462740
91105840584123068
10230445323544032
1167477349497203
1221a19a20710168
139b77b92c9c96c
1440c9882783b32
151b996297aed72
hexd196bba665e0

230445323544032 has 48 divisors (see below), whose sum is σ = 480515313504240. Its totient is φ = 108413596121088.

The previous prime is 230445323544011. The next prime is 230445323544043.

230445323544032 is nontrivially palindromic in base 10.

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, 59169758 + ... + 62944029.

It is an arithmetic number, because the mean of its divisors is an integer number (10010735698005).

Almost surely, 2230445323544032 is an apocalyptic number.

It is an amenable number.

230445323544032 is an abundant number, since it is smaller than the sum of its proper divisors (250069989960208).

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

230445323544032 is a wasteful number, since it uses less digits than its factorization.

230445323544032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122117283 (or 122117275 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 44.

The spelling of 230445323544032 in words is "two hundred thirty trillion, four hundred forty-five billion, three hundred twenty-three million, five hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 3469 6938 13876 27752 55504 58973 111008 117946 235892 471784 943568 1887136 122113787 244227574 488455148 976910296 1953820592 2075934379 3907641184 4151868758 8303737516 16607475032 33214950064 66429900128 423612727103 847225454206 1694450908412 3388901816824 6777803633648 7201416360751 13555607267296 14402832721502 28805665443004 57611330886008 115222661772016 230445323544032