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42315277824 = 293323133087
BaseRepresentation
bin100111011010001011…
…111110011000000000
311001020000122211121000
4213122023332120000
51143130202342244
631234523132000
73025416632631
oct473213763000
9131200584530
1042315277824
1116a44964596
12824b374000
133cb4946641
142095c95888
151179dc5169
hex9da2fe600

42315277824 has 160 divisors (see below), whose sum is σ = 130703063040. Its totient is φ = 13491726336.

The previous prime is 42315277811. The next prime is 42315277831. The reversal of 42315277824 is 42877251324.

42315277824 is a `hidden beast` number, since 4 + 2 + 31 + 527 + 78 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 42315277824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251409 + ... + 384495.

It is an arithmetic number, because the mean of its divisors is an integer number (816894144).

Almost surely, 242315277824 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 42315277824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65351531520).

42315277824 is an abundant number, since it is smaller than the sum of its proper divisors (88387785216).

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

42315277824 is a wasteful number, since it uses less digits than its factorization.

42315277824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133137 (or 133115 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The spelling of 42315277824 in words is "forty-two billion, three hundred fifteen million, two hundred seventy-seven thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 184 192 207 216 256 276 288 368 384 414 432 512 552 576 621 736 768 828 864 1104 1152 1242 1472 1536 1656 1728 2208 2304 2484 2944 3312 3456 4416 4608 4968 5888 6624 6912 8832 9936 11776 13248 13824 17664 19872 26496 35328 39744 52992 79488 105984 133087 158976 266174 317952 399261 532348 798522 1064696 1197783 1597044 2129392 2395566 3061001 3194088 3593349 4258784 4791132 6122002 6388176 7186698 8517568 9183003 9582264 12244004 12776352 14373396 17035136 18366006 19164528 24488008 25552704 27549009 28746792 34070272 36732012 38329056 48976016 51105408 55098018 57493584 68140544 73464024 76658112 82647027 97952032 102210816 110196036 114987168 146928048 153316224 165294054 195904064 204421632 220392072 229974336 293856096 306632448 330588108 391808128 440784144 459948672 587712192 613264896 661176216 783616256 881568288 919897344 1175424384 1322352432 1567232512 1763136576 1839794688 2350848768 2644704864 3526273152 4701697536 5289409728 7052546304 10578819456 14105092608 21157638912 42315277824