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42411906160 = 24513232237951
BaseRepresentation
bin100111011111111100…
…100101010001110000
311001110202111001202021
4213133330211101300
51143324421444120
631252254201224
73031002153121
oct473774452160
9131422431667
1042411906160
1116a94462918
1282777b3214
133ccb979580
1420a4a4a048
151183610aaa
hex9dff25470

42411906160 has 160 divisors (see below), whose sum is σ = 111320875008. Its totient is φ = 14909875200.

The previous prime is 42411906101. The next prime is 42411906181. The reversal of 42411906160 is 6160911424.

It is a happy number.

It is a congruent number.

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, 5330185 + ... + 5338135.

Almost surely, 242411906160 is an apocalyptic number.

42411906160 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 42411906160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55660437504).

42411906160 is an abundant number, since it is smaller than the sum of its proper divisors (68908968848).

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

42411906160 is a wasteful number, since it uses less digits than its factorization.

42411906160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8223 (or 8217 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The spelling of 42411906160 in words is "forty-two billion, four hundred eleven million, nine hundred six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 40 46 52 65 80 92 104 115 130 184 208 223 230 260 299 368 446 460 520 598 892 920 1040 1115 1196 1495 1784 1840 2230 2392 2899 2990 3568 4460 4784 5129 5798 5980 7951 8920 10258 11596 11960 14495 15902 17840 20516 23192 23920 25645 28990 31804 39755 41032 46384 51290 57980 63608 66677 79510 82064 102580 103363 115960 127216 133354 159020 182873 205160 206726 231920 266708 318040 333385 365746 410320 413452 516815 533416 636080 666770 731492 826904 914365 1033630 1066832 1333540 1462984 1653808 1773073 1828730 2067260 2377349 2667080 2925968 3546146 3657460 4134520 4754698 5334160 7092292 7314920 8269040 8865365 9509396 11886745 14184584 14629840 17730730 19018792 23049949 23773490 28369168 35461460 38037584 40780679 46099898 47546980 70922920 81561358 92199796 95093960 115249745 141845840 163122716 184399592 190187920 203903395 230499490 326245432 368799184 407806790 460998980 530148827 652490864 815613580 921997960 1060297654 1631227160 1843995920 2120595308 2650744135 3262454320 4241190616 5301488270 8482381232 10602976540 21205953080 42411906160