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42343717248 = 273371750319
BaseRepresentation
bin100111011011111000…
…011101100110000000
311001022000011201011000
4213123320131212000
51143204442422443
631241420452000
73026213441460
oct473370354600
9131260151130
1042343717248
1116a59a19548
1282589aa000
133cba7c31c1
142099979ba0
15117c6418d3
hex9dbe1d980

42343717248 has 128 divisors (see below), whose sum is σ = 142826112000. Its totient is φ = 12098198016.

The previous prime is 42343717217. The next prime is 42343717261. The reversal of 42343717248 is 84271734324.

42343717248 is a `hidden beast` number, since 4 + 2 + 3 + 437 + 172 + 48 = 666.

42343717248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

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, 850968 + ... + 899351.

It is an arithmetic number, because the mean of its divisors is an integer number (1115829000).

Almost surely, 242343717248 is an apocalyptic number.

42343717248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42343717248 is an abundant number, since it is smaller than the sum of its proper divisors (100482394752).

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

42343717248 is a wasteful number, since it uses less digits than its factorization.

42343717248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1750349 (or 1750331 counting only the distinct ones).

The product of its digits is 903168, while the sum is 45.

The spelling of 42343717248 in words is "forty-two billion, three hundred forty-three million, seven hundred seventeen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2688 3024 3456 4032 6048 8064 12096 24192 1750319 3500638 5250957 7001276 10501914 12252233 14002552 15752871 21003828 24504466 28005104 31505742 36756699 42007656 47258613 49008932 56010208 63011484 73513398 84015312 94517226 98017864 110270097 112020416 126022968 147026796 168030624 189034452 196035728 220540194 224040832 252045936 294053592 330810291 336061248 378068904 392071456 441080388 504091872 588107184 661620582 672122496 756137808 784142912 882160776 1008183744 1176214368 1323241164 1512275616 1568285824 1764321552 2016367488 2352428736 2646482328 3024551232 3528643104 4704857472 5292964656 6049102464 7057286208 10585929312 14114572416 21171858624 42343717248