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106444342416 = 2432279769121
BaseRepresentation
bin110001100100010010…
…0111100010010010000
3101011202021210212010110
41203020210330102100
53220444222424131
6120522211401320
710455534660546
oct1431044742220
9334667725113
10106444342416
1141163068a25
1218767bb3240
13a064973cc9
14521ac97d96
152b7ed94646
hex18c893c490

106444342416 has 40 divisors (see below), whose sum is σ = 276192617184. Its totient is φ = 35325137920.

The previous prime is 106444342391. The next prime is 106444342429. The reversal of 106444342416 is 614243444601.

It is a happy number.

It is a super-2 number, since 2×1064443424162 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4873665 + ... + 4895456.

Almost surely, 2106444342416 is an apocalyptic number.

106444342416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106444342416 is an abundant number, since it is smaller than the sum of its proper divisors (169748274768).

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

106444342416 is a wasteful number, since it uses less digits than its factorization.

106444342416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9769359 (or 9769353 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 39.

The spelling of 106444342416 in words is "one hundred six billion, four hundred forty-four million, three hundred forty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 227 454 681 908 1362 1816 2724 3632 5448 10896 9769121 19538242 29307363 39076484 58614726 78152968 117229452 156305936 234458904 468917808 2217590467 4435180934 6652771401 8870361868 13305542802 17740723736 26611085604 35481447472 53222171208 106444342416