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42418122000 = 243537069687
BaseRepresentation
bin100111100000010100…
…010010110100010000
311001111012011212021120
4213200110102310100
51143333014401000
631253035322240
73031106042112
oct474024226420
9131435155246
1042418122000
1116a97a18981
1282798b0380
134000044897
1420a57c73b2
151183e3c6a0
hex9e0512d10

42418122000 has 80 divisors (see below), whose sum is σ = 136756044672. Its totient is φ = 11311497600.

The previous prime is 42418121971. The next prime is 42418122023. The reversal of 42418122000 is 22181424.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3528844 + ... + 3540843.

Almost surely, 242418122000 is an apocalyptic number.

42418122000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42418122000 is an abundant number, since it is smaller than the sum of its proper divisors (94337922672).

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

42418122000 is a wasteful number, since it uses less digits than its factorization.

42418122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7069713 (or 7069697 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The spelling of 42418122000 in words is "forty-two billion, four hundred eighteen million, one hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 7069687 14139374 21209061 28278748 35348435 42418122 56557496 70696870 84836244 106045305 113114992 141393740 169672488 176742175 212090610 282787480 339344976 353484350 424181220 530226525 565574960 706968700 848362440 883710875 1060453050 1413937400 1696724880 1767421750 2120906100 2651132625 2827874800 3534843500 4241812200 5302265250 7069687000 8483624400 10604530500 14139374000 21209061000 42418122000