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42315020498160 = 24325232555254861
BaseRepresentation
bin10011001111100001110111…
…10000111111010011110000
312112211021110112102020220100
421213300323300333103300
521021242130221420120
6225555130235512400
711625105440436114
oct1147607360772360
9175737415366810
1042315020498160
1112534776a147a3
1248b4b268b8700
131a7c39b802867
14a640b4d09744
154d5a9ddbb490
hex267c3bc3f4f0

42315020498160 has 120 divisors (see below), whose sum is σ = 148286550151584. Its totient is φ = 10793396528640.

The previous prime is 42315020498159. The next prime is 42315020498189. The reversal of 42315020498160 is 6189402051324.

42315020498160 is a `hidden beast` number, since 4 + 2 + 3 + 1 + 502 + 0 + 4 + 9 + 81 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1277610871 + ... + 1277643990.

Almost surely, 242315020498160 is an apocalyptic number.

42315020498160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42315020498160 is an abundant number, since it is smaller than the sum of its proper divisors (105971529653424).

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

42315020498160 is a wasteful number, since it uses less digits than its factorization.

42315020498160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2555254903 (or 2555254894 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 42315020498160 in words is "forty-two trillion, three hundred fifteen billion, twenty million, four hundred ninety-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 36 40 45 46 48 60 69 72 80 90 92 115 120 138 144 180 184 207 230 240 276 345 360 368 414 460 552 690 720 828 920 1035 1104 1380 1656 1840 2070 2760 3312 4140 5520 8280 16560 2555254861 5110509722 7665764583 10221019444 12776274305 15331529166 20442038888 22997293749 25552548610 30663058332 38328822915 40884077776 45994587498 51105097220 58770861803 61326116664 76657645830 91989174996 102210194440 114986468745 117541723606 122652233328 153315291660 176312585409 183978349992 204420388880 229972937490 235083447212 293854309015 306630583320 352625170818 367956699984 459945874980 470166894424 528937756227 587708618030 613261166640 705250341636 881562927045 919891749960 940333788848 1057875512454 1175417236060 1410500683272 1763125854090 1839783499920 2115751024908 2350834472120 2644688781135 2821001366544 3526251708180 4231502049816 4701668944240 5289377562270 7052503416360 8463004099632 10578755124540 14105006832720 21157510249080 42315020498160