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42014600232 = 233113710939461
BaseRepresentation
bin100111001000010000…
…111110110000101000
311000110001212211110220
4213020100332300220
51142021214201412
631145022410040
73015106131603
oct471020766050
9130401784426
1042014600232
1116900168010
128186730920
133c6756c2c7
142067d8733a
15115d7d068c
hex9c843ec28

42014600232 has 128 divisors (see below), whose sum is σ = 118764835200. Its totient is φ = 12273638400.

The previous prime is 42014600219. The next prime is 42014600291. The reversal of 42014600232 is 23200641024.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1044982 + ... + 1084442.

It is an arithmetic number, because the mean of its divisors is an integer number (927850275).

Almost surely, 242014600232 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 42014600232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59382417600).

42014600232 is an abundant number, since it is smaller than the sum of its proper divisors (76750234968).

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

42014600232 is a wasteful number, since it uses less digits than its factorization.

42014600232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39627 (or 39623 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 42014 and 600232, that added together give a palindrome (642246).

The spelling of 42014600232 in words is "forty-two billion, fourteen million, six hundred thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 109 111 132 148 218 222 264 296 327 407 436 444 654 814 872 888 1199 1221 1308 1628 2398 2442 2616 3256 3597 4033 4796 4884 7194 8066 9592 9768 12099 14388 16132 24198 28776 32264 39461 44363 48396 78922 88726 96792 118383 133089 157844 177452 236766 266178 315688 354904 434071 473532 532356 868142 947064 1064712 1302213 1460057 1736284 2604426 2920114 3472568 4301249 4380171 5208852 5840228 8602498 8760342 10417704 11680456 12903747 16060627 17204996 17520684 25807494 32121254 34409992 35041368 47313739 48181881 51614988 64242508 94627478 96363762 103229976 128485016 141941217 159146213 189254956 192727524 283882434 318292426 378509912 385455048 477438639 567764868 636584852 954877278 1135529736 1273169704 1750608343 1909754556 3501216686 3819509112 5251825029 7002433372 10503650058 14004866744 21007300116 42014600232