Search a number
-
+
44630088642 = 2336794113109
BaseRepresentation
bin101001100100001010…
…010001101111000010
311021012100101102002000
4221210022101233002
51212400300314032
632300333404430
73136655331336
oct514412215702
9137170342060
1044630088642
1117a22581187
128796639716
1342933a5c99
14223549b7c6
15126321ee7c
hexa64291bc2

44630088642 has 64 divisors (see below), whose sum is σ = 100772899200. Its totient is φ = 14637965760.

The previous prime is 44630088641. The next prime is 44630088683. The reversal of 44630088642 is 24688003644.

44630088642 is a `hidden beast` number, since 4 + 4 + 630 + 0 + 8 + 8 + 6 + 4 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (44630088641) 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, 3397984 + ... + 3411092.

It is an arithmetic number, because the mean of its divisors is an integer number (1574576550).

Almost surely, 244630088642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44630088642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50386449600).

44630088642 is an abundant number, since it is smaller than the sum of its proper divisors (56142810558).

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

44630088642 is a wasteful number, since it uses less digits than its factorization.

44630088642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14128 (or 14122 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 44630088642 in words is "forty-four billion, six hundred thirty million, eighty-eight thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 67 134 201 402 603 941 1206 1809 1882 2823 3618 5646 8469 13109 16938 25407 26218 39327 50814 63047 78654 117981 126094 189141 235962 353943 378282 567423 707886 878303 1134846 1702269 1756606 2634909 3404538 5269818 7904727 12335569 15809454 23714181 24671138 37006707 47428362 74013414 111020121 222040242 333060363 666120726 826483123 1652966246 2479449369 4958898738 7438348107 14876696214 22315044321 44630088642