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42347120960 = 2651931224677
BaseRepresentation
bin100111011100000101…
…011100100101000000
311001022020120122011102
4213130011130211000
51143211330332320
631242021433532
73026254406024
oct473405344500
9131266518142
1042347120960
1116a60933831
128259b6b8a8
133cbb415531
14209a1c4384
15117cab5175
hex9dc15c940

42347120960 has 112 divisors (see below), whose sum is σ = 109570967040. Its totient is φ = 15529605120.

The previous prime is 42347120957. The next prime is 42347120983. The reversal of 42347120960 is 6902174324.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76142 + ... + 300818.

Almost surely, 242347120960 is an apocalyptic number.

42347120960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42347120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54785483520).

42347120960 is an abundant number, since it is smaller than the sum of its proper divisors (67223846080).

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

42347120960 is a wasteful number, since it uses less digits than its factorization.

42347120960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224744 (or 224734 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The spelling of 42347120960 in words is "forty-two billion, three hundred forty-seven million, one hundred twenty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 31 32 38 40 62 64 76 80 95 124 152 155 160 190 248 304 310 320 380 496 589 608 620 760 992 1178 1216 1240 1520 1984 2356 2480 2945 3040 4712 4960 5890 6080 9424 9920 11780 18848 23560 37696 47120 94240 188480 224677 449354 898708 1123385 1797416 2246770 3594832 4268863 4493540 6964987 7189664 8537726 8987080 13929974 14379328 17075452 17974160 21344315 27859948 34150904 34824935 35948320 42688630 55719896 68301808 69649870 71896640 85377260 111439792 132334753 136603616 139299740 170754520 222879584 264669506 273207232 278599480 341509040 445759168 529339012 557198960 661673765 683018080 1058678024 1114397920 1323347530 1366036160 2117356048 2228795840 2646695060 4234712096 5293390120 8469424192 10586780240 21173560480 42347120960