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44540404544 = 262373457907
BaseRepresentation
bin101001011110110100…
…001010001101000000
311020222002121222121202
4221132310022031000
51212204320421134
632243411240332
73134516122556
oct513664121500
9136862558552
1044540404544
1117986996199
1287705a90a8
13427a934a7c
1422275d3bd6
15125a406d7e
hexa5ed0a340

44540404544 has 112 divisors (see below), whose sum is σ = 93798956928. Its totient is φ = 20941037568.

The previous prime is 44540404543. The next prime is 44540404577.

44540404544 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44540404498 and 44540404507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44540404543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49106939 + ... + 49107845.

Almost surely, 244540404544 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 44540404544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46899478464).

44540404544 is an abundant number, since it is smaller than the sum of its proper divisors (49258552384).

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

44540404544 is a wasteful number, since it uses less digits than its factorization.

44540404544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 38.

The spelling of 44540404544 in words is "forty-four billion, five hundred forty million, four hundred four thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 64 73 92 146 184 292 368 457 584 736 907 914 1168 1472 1679 1814 1828 2336 3358 3628 3656 4672 6716 7256 7312 10511 13432 14512 14624 20861 21022 26864 29024 29248 33361 41722 42044 53728 58048 66211 66722 83444 84088 107456 132422 133444 166888 168176 264844 266888 333776 336352 414499 529688 533776 667552 672704 767303 828998 1059376 1067552 1335104 1522853 1534606 1657996 2118752 2135104 3045706 3069212 3315992 4237504 6091412 6138424 6631984 9533477 12182824 12276848 13263968 19066954 24365648 24553696 26527936 30258427 38133908 48731296 49107392 60516854 76267816 97462592 121033708 152535632 242067416 305071264 484134832 610142528 695943821 968269664 1391887642 1936539328 2783775284 5567550568 11135101136 22270202272 44540404544