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465422424240 = 24352398114059
BaseRepresentation
bin1101100010111010101…
…01101001100010110000
31122111100002101212102110
412301131111221202300
530111141120033430
6553451225445320
745424413221514
oct6613525514260
91574302355373
10465422424240
1116a425909004
1276251040840
1334b735ba387
1418752c78144
15c1901e57b0
hex6c5d5698b0

465422424240 has 80 divisors (see below), whose sum is σ = 1448846553600. Its totient is φ = 123593331456.

The previous prime is 465422424211. The next prime is 465422424241. The reversal of 465422424240 is 42424224564.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (465422424241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3999670 + ... + 4114389.

It is an arithmetic number, because the mean of its divisors is an integer number (18110581920).

Almost surely, 2465422424240 is an apocalyptic number.

465422424240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

465422424240 is an abundant number, since it is smaller than the sum of its proper divisors (983424129360).

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

465422424240 is a wasteful number, since it uses less digits than its factorization.

465422424240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8114314 (or 8114308 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 39.

The spelling of 465422424240 in words is "four hundred sixty-five billion, four hundred twenty-two million, four hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 239 240 478 717 956 1195 1434 1912 2390 2868 3585 3824 4780 5736 7170 9560 11472 14340 19120 28680 57360 8114059 16228118 24342177 32456236 40570295 48684354 64912472 81140590 97368708 121710885 129824944 162281180 194737416 243421770 324562360 389474832 486843540 649124720 973687080 1939260101 1947374160 3878520202 5817780303 7757040404 9696300505 11635560606 15514080808 19392601010 23271121212 29088901515 31028161616 38785202020 46542242424 58177803030 77570404040 93084484848 116355606060 155140808080 232711212120 465422424240