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44204469408 = 25321146330137
BaseRepresentation
bin101001001010110010…
…101010110010100000
311020002200111201020200
4221022302222302200
51211012321010113
632150211105200
73123266535051
oct511262526240
9136080451220
1044204469408
11178242a8150
128697ba2200
134226164698
1421d4b48728
15123ab9a873
hexa4acaaca0

44204469408 has 144 divisors (see below), whose sum is σ = 137435066496. Its totient is φ = 13365918720.

The previous prime is 44204469401. The next prime is 44204469409. The reversal of 44204469408 is 80496440244.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) 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 (44204469401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1451716 + ... + 1481852.

It is an arithmetic number, because the mean of its divisors is an integer number (954410184).

Almost surely, 244204469408 is an apocalyptic number.

44204469408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44204469408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68717533248).

44204469408 is an abundant number, since it is smaller than the sum of its proper divisors (93230597088).

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

44204469408 is a wasteful number, since it uses less digits than its factorization.

44204469408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30627 (or 30616 counting only the distinct ones).

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

The spelling of 44204469408 in words is "forty-four billion, two hundred four million, four hundred sixty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 463 528 792 926 1056 1389 1584 1852 2778 3168 3704 4167 5093 5556 7408 8334 10186 11112 14816 15279 16668 20372 22224 30137 30558 33336 40744 44448 45837 60274 61116 66672 81488 90411 91674 120548 122232 133344 162976 180822 183348 241096 244464 271233 331507 361644 366696 482192 488928 542466 663014 723288 733392 964384 994521 1084932 1326028 1446576 1466784 1989042 2169864 2652056 2893152 2983563 3978084 4339728 5304112 5967126 7956168 8679456 10608224 11934252 13953431 15912336 23868504 27906862 31824672 41860293 47737008 55813724 83720586 95474016 111627448 125580879 153487741 167441172 223254896 251161758 306975482 334882344 446509792 460463223 502323516 613950964 669764688 920926446 1004647032 1227901928 1339529376 1381389669 1841852892 2009294064 2455803856 2762779338 3683705784 4018588128 4911607712 5525558676 7367411568 11051117352 14734823136 22102234704 44204469408