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235145104512 = 27331127155539
BaseRepresentation
bin1101101011111110111…
…1011000110010000000
3211110221122222222101220
43122333233120302000
512323034121321022
6300005115355040
722663054260363
oct3327757306200
9743848888356
10235145104512
11907a731041a
12396a5752a80
13192356196c6
14b5499a00da
1561b3b1885c
hex36bfbd8c80

235145104512 has 128 divisors (see below), whose sum is σ = 649833676800. Its totient is φ = 75255505920.

The previous prime is 235145104511. The next prime is 235145104547. The reversal of 235145104512 is 215401541532.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (235145104511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1434039 + ... + 1589577.

It is an arithmetic number, because the mean of its divisors is an integer number (5076825600).

Almost surely, 2235145104512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235145104512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324916838400).

235145104512 is an abundant number, since it is smaller than the sum of its proper divisors (414688572288).

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

235145104512 is a wasteful number, since it uses less digits than its factorization.

235145104512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155714 (or 155702 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 235145104512 in words is "two hundred thirty-five billion, one hundred forty-five million, one hundred four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 127 128 186 192 248 254 372 381 384 496 508 744 762 992 1016 1488 1524 1984 2032 2976 3048 3937 3968 4064 5952 6096 7874 8128 11811 11904 12192 15748 16256 23622 24384 31496 47244 48768 62992 94488 125984 155539 188976 251968 311078 377952 466617 503936 622156 755904 933234 1244312 1511808 1866468 2488624 3732936 4821709 4977248 7465872 9643418 9954496 14465127 14931744 19286836 19753453 19908992 28930254 29863488 38573672 39506906 57860508 59260359 59726976 77147344 79013812 115721016 118520718 154294688 158027624 231442032 237041436 308589376 316055248 462884064 474082872 612357043 617178752 632110496 925768128 948165744 1224714086 1264220992 1837071129 1851536256 1896331488 2449428172 2528441984 3674142258 3792662976 4898856344 7348284516 7585325952 9797712688 14696569032 19595425376 29393138064 39190850752 58786276128 78381701504 117572552256 235145104512