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420525255345 = 35134126121031
BaseRepresentation
bin1100001111010010100…
…00100010101010110001
31111012110010110101010020
412013221100202222301
523342213431132340
6521104151354053
742245002456416
oct6075120425261
91435403411106
10420525255345
111523865a8548
1269601082929
1330869aa1550
14164d413610d
15ae1381a9d0
hex61e9422ab1

420525255345 has 96 divisors (see below), whose sum is σ = 754912849152. Its totient is φ = 198657792000.

The previous prime is 420525255331. The next prime is 420525255347. The reversal of 420525255345 is 543552525024.

It is not a de Polignac number, because 420525255345 - 26 = 420525255281 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 420525255297 and 420525255306.

It is not an unprimeable number, because it can be changed into a prime (420525255347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19984980 + ... + 20006010.

It is an arithmetic number, because the mean of its divisors is an integer number (7863675512).

Almost surely, 2420525255345 is an apocalyptic number.

It is an amenable number.

420525255345 is a deficient number, since it is larger than the sum of its proper divisors (334387593807).

420525255345 is a wasteful number, since it uses less digits than its factorization.

420525255345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21195 (or 21154 counting only the distinct ones).

The product of its (nonzero) digits is 1200000, while the sum is 42.

The spelling of 420525255345 in words is "four hundred twenty billion, five hundred twenty-five million, two hundred fifty-five thousand, three hundred forty-five".

Divisors: 1 3 5 13 15 39 41 61 65 123 183 195 205 305 533 615 793 915 1599 1681 2379 2501 2665 3965 5043 7503 7995 8405 11895 12505 21031 21853 25215 32513 37515 63093 65559 97539 102541 105155 109265 162565 273403 307623 315465 327795 487695 512705 820209 862271 1282891 1333033 1367015 1538115 2586813 3848673 3999099 4101045 4311355 6414455 6665165 11209523 12934065 16677583 19243365 19995495 33628569 35353111 50032749 52598531 56047615 83387915 106059333 157795593 168142845 176765555 250163745 262992655 459590443 530296665 683780903 788977965 1378771329 2051342709 2156539771 2297952215 3418904515 6469619313 6893856645 10256713545 10782698855 28035017023 32348096565 84105051069 140175085115 420525255345