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44104440144 = 24317531039901
BaseRepresentation
bin101001000100110101…
…000101100101010000
311012211201021200220010
4221010311011211100
51210311214041034
632132235114520
73120643361412
oct510465054520
9135751250803
1044104440144
1117782896736
12866a5a2a40
13420b51077b
1421c574a9b2
151231edc3e9
hexa44d45950

44104440144 has 160 divisors (see below), whose sum is σ = 124120698624. Its totient is φ = 13442457600.

The previous prime is 44104440139. The next prime is 44104440169.

44104440144 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4449594 + ... + 4459494.

Almost surely, 244104440144 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 44104440144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62060349312).

44104440144 is an abundant number, since it is smaller than the sum of its proper divisors (80016258480).

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

44104440144 is a wasteful number, since it uses less digits than its factorization.

44104440144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10085 (or 10079 counting only the distinct ones).

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

The spelling of 44104440144 in words is "forty-four billion, one hundred four million, four hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 53 68 102 103 106 136 159 204 206 212 272 309 318 408 412 424 618 636 816 824 848 901 1236 1272 1648 1751 1802 2472 2544 2703 3502 3604 4944 5253 5406 5459 7004 7208 9901 10506 10812 10918 14008 14416 16377 19802 21012 21624 21836 28016 29703 32754 39604 42024 43248 43672 59406 65508 79208 84048 87344 92803 118812 131016 158416 168317 185606 237624 262032 278409 336634 371212 475248 504951 524753 556818 673268 742424 1009902 1019803 1049506 1113636 1346536 1484848 1574259 2019804 2039606 2099012 2227272 2693072 3059409 3148518 4039608 4079212 4198024 4454544 6118818 6297036 8079216 8158424 8396048 8920801 12237636 12594072 16316848 17336651 17841602 24475272 25188144 26762403 34673302 35683204 48950544 52009953 53524806 54049559 69346604 71366408 104019906 107049612 108099118 138693208 142732816 162148677 208039812 214099224 216198236 277386416 324297354 416079624 428198448 432396472 648594708 832159248 864792944 918842503 1297189416 1837685006 2594378832 2756527509 3675370012 5513055018 7350740024 11026110036 14701480048 22052220072 44104440144