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402144434216 = 23712756544493
BaseRepresentation
bin1011101101000011010…
…11010001100000101000
31102110000010200220201022
411312201223101200220
523042042433343331
6504424222512012
741024341201550
oct5664153214050
91373003626638
10402144434216
1114560405a588
1265b31435608
132bbca9b6125
141566ccd8160
15a6d9cdb67b
hex5da1ad1828

402144434216 has 32 divisors (see below), whose sum is σ = 868523427840. Its totient is φ = 170990543808.

The previous prime is 402144434213. The next prime is 402144434257. The reversal of 402144434216 is 612434441204.

It is not an unprimeable number, because it can be changed into a prime (402144434213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28265135 + ... + 28279358.

It is an arithmetic number, because the mean of its divisors is an integer number (27141357120).

Almost surely, 2402144434216 is an apocalyptic number.

It is an amenable number.

402144434216 is an abundant number, since it is smaller than the sum of its proper divisors (466378993624).

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

402144434216 is a wasteful number, since it uses less digits than its factorization.

402144434216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56544633 (or 56544629 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

The spelling of 402144434216 in words is "four hundred two billion, one hundred forty-four million, four hundred thirty-four thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 28 56 127 254 508 889 1016 1778 3556 7112 56544493 113088986 226177972 395811451 452355944 791622902 1583245804 3166491608 7181150611 14362301222 28724602444 50268054277 57449204888 100536108554 201072217108 402144434216