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42400624020 = 22352141932993
BaseRepresentation
bin100111011111010001…
…100010110110010100
311001102222020212120020
4213133101202312110
51143314024432040
631251212305140
73030504233436
oct473721426624
9131388225506
1042400624020
1116a89057437
128273a721b0
133cc9529251
1420a3350656
151182632cd0
hex9df462d94

42400624020 has 48 divisors (see below), whose sum is σ = 118730888640. Its totient is φ = 11305962496.

The previous prime is 42400623943. The next prime is 42400624027. The reversal of 42400624020 is 2042600424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42400624027) 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, 1268644 + ... + 1301636.

It is an arithmetic number, because the mean of its divisors is an integer number (2473560180).

Almost surely, 242400624020 is an apocalyptic number.

It is an amenable number.

42400624020 is an abundant number, since it is smaller than the sum of its proper divisors (76330264620).

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

42400624020 is a wasteful number, since it uses less digits than its factorization.

42400624020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54424 (or 54422 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The spelling of 42400624020 in words is "forty-two billion, four hundred million, six hundred twenty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 21419 32993 42838 64257 65986 85676 98979 107095 128514 131972 164965 197958 214190 257028 321285 329930 395916 428380 494895 642570 659860 989790 1285140 1979580 706677067 1413354134 2120031201 2826708268 3533385335 4240062402 7066770670 8480124804 10600156005 14133541340 21200312010 42400624020