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42414134436 = 2233897143777
BaseRepresentation
bin100111100000000101…
…000101010010100100
311001110220200021101000
4213200011011102210
51143331004300221
631252414033300
73031030123422
oct474005052244
9131426607330
1042414134436
1116a95744a73
1282784a8830
133ccc27988b
1420a506a112
151183900e26
hex9e01454a4

42414134436 has 48 divisors (see below), whose sum is σ = 109977340480. Its totient is φ = 14136145920.

The previous prime is 42414134407. The next prime is 42414134443. The reversal of 42414134436 is 63443141424.

42414134436 is a `hidden beast` number, since 4 + 241 + 41 + 344 + 36 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 42414134436.

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, 946980 + ... + 990756.

Almost surely, 242414134436 is an apocalyptic number.

It is an amenable number.

42414134436 is an abundant number, since it is smaller than the sum of its proper divisors (67563206044).

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

42414134436 is a wasteful number, since it uses less digits than its factorization.

42414134436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52761 (or 52753 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The spelling of 42414134436 in words is "forty-two billion, four hundred fourteen million, one hundred thirty-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 8971 17942 26913 35884 43777 53826 80739 87554 107652 131331 161478 175108 242217 262662 322956 393993 484434 525324 787986 968868 1181979 1575972 2363958 4727916 392723467 785446934 1178170401 1570893868 2356340802 3534511203 4712681604 7069022406 10603533609 14138044812 21207067218 42414134436