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442135133555505 = 35134395164828381
BaseRepresentation
bin110010010000111101001101…
…1100101000000101100110001
32010222110201001122122212022120
41210201322123211000230301
5430422420223142234010
64204202024253224453
7162062131530535545
oct14441723345005461
92128421048585276
10442135133555505
111189725034a8935
1241708901792129
1315c92219971bc0
147b27651787a25
15361ae396c4e70
hex1921e9b940b31

442135133555505 has 32 divisors (see below), whose sum is σ = 763568227994880. Its totient is φ = 217170703722240.

The previous prime is 442135133555497. The next prime is 442135133555581. The reversal of 442135133555505 is 505555331531244.

It is not a de Polignac number, because 442135133555505 - 23 = 442135133555497 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2582328586 + ... + 2582499795.

It is an arithmetic number, because the mean of its divisors is an integer number (23861507124840).

Almost surely, 2442135133555505 is an apocalyptic number.

It is an amenable number.

442135133555505 is a deficient number, since it is larger than the sum of its proper divisors (321433094439375).

442135133555505 is a wasteful number, since it uses less digits than its factorization.

442135133555505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5164828841.

The product of its (nonzero) digits is 13500000, while the sum is 51.

The spelling of 442135133555505 in words is "four hundred forty-two trillion, one hundred thirty-five billion, one hundred thirty-three million, five hundred fifty-five thousand, five hundred five".

Divisors: 1 3 5 13 15 39 65 195 439 1317 2195 5707 6585 17121 28535 85605 5164828381 15494485143 25824141905 67142768953 77472425715 201428306859 335713844765 1007141534295 2267359659259 6802078977777 11336798296295 29475675570367 34010394888885 88427026711101 147378377851835 442135133555505