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42507550440 = 2333539358843
BaseRepresentation
bin100111100101101001…
…011011111011101000
311001201102110022001000
4213211221123323220
51144023413103230
631305552155000
73033243134325
oct474551337350
9131642408030
1042507550440
1117033449883
1282a3838a60
134015726614
1420b3625b4c
15118bc04b60
hex9e5a5bee8

42507550440 has 64 divisors (see below), whose sum is σ = 141691838400. Its totient is φ = 11335346496.

The previous prime is 42507550427. The next prime is 42507550493. The reversal of 42507550440 is 4405570524.

It is a happy number.

42507550440 is a `hidden beast` number, since 42 + 5 + 0 + 75 + 504 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42507550395 and 42507550404.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19678342 + ... + 19680501.

It is an arithmetic number, because the mean of its divisors is an integer number (2213934975).

Almost surely, 242507550440 is an apocalyptic number.

42507550440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42507550440 is an abundant number, since it is smaller than the sum of its proper divisors (99184287960).

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

42507550440 is a wasteful number, since it uses less digits than its factorization.

42507550440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39358863 (or 39358853 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 36.

The spelling of 42507550440 in words is "forty-two billion, five hundred seven million, five hundred fifty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 39358843 78717686 118076529 157435372 196794215 236153058 314870744 354229587 393588430 472306116 590382645 708459174 787176860 944612232 1062688761 1180765290 1416918348 1574353720 1771147935 2125377522 2361530580 2833836696 3542295870 4250755044 4723061160 5313443805 7084591740 8501510088 10626887610 14169183480 21253775220 42507550440