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42014734560 = 253359725633
BaseRepresentation
bin100111001000010001…
…011111100011100000
311000110002010122202000
4213020101133203200
51142021233001220
631145025324000
73015110231331
oct471021374340
9130402118660
1042014734560
1116900249a27
128186796600
133c675b84a6
142067dc0288
15115d80a390
hex9c845f8e0

42014734560 has 96 divisors (see below), whose sum is σ = 147051586080. Its totient is φ = 11203928064.

The previous prime is 42014734537. The next prime is 42014734603. The reversal of 42014734560 is 6543741024.

42014734560 is a `hidden beast` number, since 4 + 20 + 1 + 4 + 73 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4858497 + ... + 4867136.

It is an arithmetic number, because the mean of its divisors is an integer number (1531787355).

Almost surely, 242014734560 is an apocalyptic number.

42014734560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42014734560 is an abundant number, since it is smaller than the sum of its proper divisors (105036851520).

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

42014734560 is a wasteful number, since it uses less digits than its factorization.

42014734560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9725657 (or 9725643 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 42014734560 in words is "forty-two billion, fourteen million, seven hundred thirty-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 9725633 19451266 29176899 38902532 48628165 58353798 77805064 87530697 97256330 116707596 145884495 155610128 175061394 194512660 233415192 262592091 291768990 311220256 350122788 389025320 437653485 466830384 525184182 583537980 700245576 778050640 875306970 933660768 1050368364 1167075960 1312960455 1400491152 1556101280 1750613940 2100736728 2334151920 2625920910 2800982304 3501227880 4201473456 4668303840 5251841820 7002455760 8402946912 10503683640 14004911520 21007367280 42014734560