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442687851408 = 24311838423961
BaseRepresentation
bin1100111000100100100…
…00001000101110010000
31120022122200021220110110
412130102100020232100
524223111042221113
6535211253001320
743661134436205
oct6342220105620
91508580256413
10442687851408
11160819829a40
1271967323240
133298c51280a
14175d771dcac
15b7ae365bc3
hex6712408b90

442687851408 has 40 divisors (see below), whose sum is σ = 1247574855456. Its totient is φ = 134147833600.

The previous prime is 442687851391. The next prime is 442687851409. The reversal of 442687851408 is 804158786244.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (442687851409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 419211453 + ... + 419212508.

Almost surely, 2442687851408 is an apocalyptic number.

442687851408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

442687851408 is an abundant number, since it is smaller than the sum of its proper divisors (804887004048).

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

442687851408 is a wasteful number, since it uses less digits than its factorization.

442687851408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838423983 (or 838423977 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 57.

The spelling of 442687851408 in words is "four hundred forty-two billion, six hundred eighty-seven million, eight hundred fifty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 838423961 1676847922 2515271883 3353695844 5030543766 6707391688 9222663571 10061087532 13414783376 18445327142 20122175064 27667990713 36890654284 40244350128 55335981426 73781308568 110671962852 147562617136 221343925704 442687851408