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44601429996 = 223219414333673
BaseRepresentation
bin101001100010011100…
…111100111111101100
311021010100110101210200
4221202130330333230
51212320431224441
632253431233500
73136156620414
oct514234747754
9137110411720
1044601429996
1117a08387552
128788b18890
13428a4806c6
14223175b644
15126095d7b6
hexa6273cfec

44601429996 has 144 divisors (see below), whose sum is σ = 121884803040. Its totient is φ = 13705666560.

The previous prime is 44601429991. The next prime is 44601429997. The reversal of 44601429996 is 69992410644.

It is a happy number.

44601429996 is a `hidden beast` number, since 4 + 4 + 601 + 4 + 29 + 9 + 9 + 6 = 666.

It is a Smith number, since the sum of its digits (54) 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 (44601429991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12141216 + ... + 12144888.

Almost surely, 244601429996 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 44601429996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60942401520).

44601429996 is an abundant number, since it is smaller than the sum of its proper divisors (77283373044).

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

44601429996 is a wasteful number, since it uses less digits than its factorization.

44601429996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4176 (or 4171 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 44601429996 in words is "forty-four billion, six hundred one million, four hundred twenty-nine thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 41 57 76 82 114 123 164 171 228 246 342 369 433 492 684 738 779 866 1299 1476 1558 1732 2337 2598 3116 3673 3897 4674 5196 7011 7346 7794 8227 9348 11019 14022 14692 15588 16454 17753 22038 24681 28044 32908 33057 35506 44076 49362 53259 66114 69787 71012 74043 98724 106518 132228 139574 148086 150593 159777 209361 213036 279148 296172 301186 319554 337307 418722 451779 602372 628083 639108 674614 837444 903558 1011921 1256166 1349228 1355337 1590409 1807116 2023842 2512332 2710674 2861267 3035763 3180818 4047684 4771227 5421348 5722534 6071526 6361636 8583801 9542454 11445068 12143052 14313681 17167602 19084908 25751403 28627362 30217771 34335204 51502806 57254724 60435542 65206769 90653313 103005612 120871084 130413538 181306626 195620307 260827076 271959939 362613252 391240614 543919878 586860921 782481228 1087839756 1173721842 1238928611 2347443684 2477857222 3716785833 4955714444 7433571666 11150357499 14867143332 22300714998 44601429996