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42444201102204 = 22311737834358009
BaseRepresentation
bin10011010011010010011111…
…00001111000101101111100
312120021121220100111212120210
421221221033201320231330
521030401210440232304
6230134332524312420
711640330604445016
oct1151511741705574
9176247810455523
1042444201102204
1112584537005590
124915b790a2710
131a8b6179c2cc5
14a6a44b63b1b6
154d910ed25c89
hex269a4f878b7c

42444201102204 has 48 divisors (see below), whose sum is σ = 108041273706240. Its totient is φ = 12861701850240.

The previous prime is 42444201102203. The next prime is 42444201102209. The reversal of 42444201102204 is 40220110244424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42444201102203) 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, 7560352 + ... + 11918360.

It is an arithmetic number, because the mean of its divisors is an integer number (2250859868880).

Almost surely, 242444201102204 is an apocalyptic number.

42444201102204 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42444201102204 is an abundant number, since it is smaller than the sum of its proper divisors (65597072604036).

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

42444201102204 is a wasteful number, since it uses less digits than its factorization.

42444201102204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4431810 (or 4431808 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 42444201102204 its reverse (40220110244424), we get a palindrome (82664311346628).

The spelling of 42444201102204 in words is "forty-two trillion, four hundred forty-four billion, two hundred one million, one hundred two thousand, two hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 73783 147566 221349 295132 442698 811613 885396 1623226 2434839 3246452 4358009 4869678 8716018 9739356 13074027 17432036 26148054 47938099 52296108 95876198 143814297 191752396 287628594 575257188 321546978047 643093956094 964640934141 1286187912188 1929281868282 3537016758517 3858563736564 7074033517034 10611050275551 14148067034068 21222100551102 42444201102204