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427690524240 = 24325784859231
BaseRepresentation
bin1100011100101000101…
…01110111111001010000
31111212221111011202012200
412032110111313321100
524001402233233430
6524251152123200
742620366321250
oct6162425677120
91455844152180
10427690524240
11155423173081
126aa80836500
133143c3c1225
14169b39d3960
15b1d28cd460
hex6394577e50

427690524240 has 120 divisors (see below), whose sum is σ = 1641516983808. Its totient is φ = 97757832960.

The previous prime is 427690524197. The next prime is 427690524253. The reversal of 427690524240 is 42425096724.

427690524240 is a `hidden beast` number, since 4 + 27 + 69 + 0 + 524 + 2 + 40 = 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, 42424576 + ... + 42434655.

Almost surely, 2427690524240 is an apocalyptic number.

427690524240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

427690524240 is an abundant number, since it is smaller than the sum of its proper divisors (1213826459568).

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

427690524240 is a wasteful number, since it uses less digits than its factorization.

427690524240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84859257 (or 84859248 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 427690524240 in words is "four hundred twenty-seven billion, six hundred ninety million, five hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 84859231 169718462 254577693 339436924 424296155 509155386 594014617 678873848 763733079 848592310 1018310772 1188029234 1272888465 1357747696 1527466158 1697184620 1782043851 2036621544 2376058468 2545776930 2970073085 3054932316 3394369240 3564087702 3818665395 4073243088 4752116936 5091553860 5346131553 5940146170 6109864632 6788738480 7128175404 7637330790 8910219255 9504233872 10183107720 10692263106 11880292340 12219729264 14256350808 15274661580 17820438510 20366215440 21384526212 23760584680 26730657765 28512701616 30549323160 35640877020 42769052424 47521169360 53461315530 61098646320 71281754040 85538104848 106922631060 142563508080 213845262120 427690524240