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442874757116 = 221127143978447
BaseRepresentation
bin1100111000111010110…
…01000111111111111100
31120100010200222200220002
412130131121013333330
524224001414211431
6535242011013432
743665564215621
oct6343531077774
91510120880802
10442874757116
11160905288a70
12719b9a3a278
13329bc1639cc
1417614494348
15b7c09853cb
hex671d647ffc

442874757116 has 48 divisors (see below), whose sum is σ = 848901537792. Its totient is φ = 200494526400.

The previous prime is 442874757113. The next prime is 442874757133. The reversal of 442874757116 is 611757478244.

It is a happy number.

It is a super-3 number, since 3×4428747571163 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442874757113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52425605 + ... + 52434051.

It is an arithmetic number, because the mean of its divisors is an integer number (17685448704).

Almost surely, 2442874757116 is an apocalyptic number.

It is an amenable number.

442874757116 is a deficient number, since it is larger than the sum of its proper divisors (406026780676).

442874757116 is a wasteful number, since it uses less digits than its factorization.

442874757116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13130 (or 13128 counting only the distinct ones).

The product of its digits is 10536960, while the sum is 56.

The spelling of 442874757116 in words is "four hundred forty-two billion, eight hundred seventy-four million, seven hundred fifty-seven thousand, one hundred sixteen".

Divisors: 1 2 4 11 22 44 271 542 1084 2981 4397 5962 8447 8794 11924 16894 17588 33788 48367 92917 96734 185834 193468 371668 1191587 2289137 2383174 4578274 4766348 9156548 13107457 25180507 26214914 37141459 50361014 52429828 74282918 100722028 148565836 408556049 817112098 1634224196 10065335389 20130670778 40261341556 110718689279 221437378558 442874757116