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441635607042 = 237191932867503
BaseRepresentation
bin1100110110100111000…
…10001001001000000010
31120012221100022100112220
412123103202021020002
524213432203411132
6534515023431510
743623066502320
oct6332342111002
91505840270486
10441635607042
111603298721a3
1271712a55596
1332852512806
1417537a92d10
15b74bcb4a2c
hex66d3889202

441635607042 has 64 divisors (see below), whose sum is σ = 1068087889920. Its totient is φ = 118921042944.

The previous prime is 441635607041. The next prime is 441635607089. The reversal of 441635607042 is 240706536144.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 441635606985 and 441635607003.

It is not an unprimeable number, because it can be changed into a prime (441635607041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1279738 + ... + 1587765.

It is an arithmetic number, because the mean of its divisors is an integer number (16688873280).

Almost surely, 2441635607042 is an apocalyptic number.

441635607042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

441635607042 is an abundant number, since it is smaller than the sum of its proper divisors (626452282878).

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

441635607042 is a wasteful number, since it uses less digits than its factorization.

441635607042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2867727.

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 441635607042 in words is "four hundred forty-one billion, six hundred thirty-five million, six hundred seven thousand, forty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 193 266 386 399 579 798 1158 1351 2702 3667 4053 7334 8106 11001 22002 25669 51338 77007 154014 2867503 5735006 8602509 17205018 20072521 40145042 54482557 60217563 108965114 120435126 163447671 326895342 381377899 553428079 762755798 1106856158 1144133697 1660284237 2288267394 3320568474 3873996553 7747993106 10515133501 11621989659 21030267002 23243979318 31545400503 63090801006 73605934507 147211869014 220817803521 441635607042