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44264002104 = 23327359244639
BaseRepresentation
bin101001001110010101…
…110001001000111000
311020020211112021202100
4221032111301020320
51211123041031404
632200135103400
73124621544550
oct511625611070
9136224467670
1044264002104
1117854969a23
1286b3b11b60
1342355a9a2a
1421dca04160
151241009d39
hexa4e571238

44264002104 has 96 divisors (see below), whose sum is σ = 137389824000. Its totient is φ = 12611578176.

The previous prime is 44264002063. The next prime is 44264002163. The reversal of 44264002104 is 40120046244.

It is a happy number.

44264002104 is a `hidden beast` number, since 4 + 4 + 2 + 640 + 0 + 2 + 10 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58617 + ... + 303255.

It is an arithmetic number, because the mean of its divisors is an integer number (1431144000).

Almost surely, 244264002104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44264002104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68694912000).

44264002104 is an abundant number, since it is smaller than the sum of its proper divisors (93125821896).

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

44264002104 is a wasteful number, since it uses less digits than its factorization.

44264002104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245017 (or 245010 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 44264002104 its reverse (40120046244), we get a palindrome (84384048348).

The spelling of 44264002104 in words is "forty-four billion, two hundred sixty-four million, two thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 359 504 718 1077 1436 2154 2513 2872 3231 4308 5026 6462 7539 8616 10052 12924 15078 20104 22617 25848 30156 45234 60312 90468 180936 244639 489278 733917 978556 1467834 1712473 1957112 2201751 2935668 3424946 4403502 5137419 5871336 6849892 8807004 10274838 13699784 15412257 17614008 20549676 30824514 41099352 61649028 87825401 123298056 175650802 263476203 351301604 526952406 614777807 702603208 790428609 1053904812 1229555614 1580857218 1844333421 2107809624 2459111228 3161714436 3688666842 4918222456 5533000263 6323428872 7377333684 11066000526 14754667368 22132001052 44264002104