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44005054404520 = 235112331321324931
BaseRepresentation
bin10100000000101101110011…
…01000101101011110101000
312202210211201220101001210001
422000112321220231132220
521231434322411421040
6233331350511432344
712161155161555106
oct1200267150553650
9182724656331701
1044005054404520
1113026491002660
124b285838256b4
131b7287458cbb1
14ac1bdabdcc76
15514a147c859a
hex2805b9a2d7a8

44005054404520 has 128 divisors (see below), whose sum is σ = 108558429482880. Its totient is φ = 15921050112000.

The previous prime is 44005054404503. The next prime is 44005054404539. The reversal of 44005054404520 is 2540445050044.

It is a self number, because there is not a number n which added to its sum of digits gives 44005054404520.

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, 135266455 + ... + 135591385.

It is an arithmetic number, because the mean of its divisors is an integer number (848112730335).

Almost surely, 244005054404520 is an apocalyptic number.

44005054404520 is a gapful number since it is divisible by the number (40) 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 44005054404520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54279214741440).

44005054404520 is an abundant number, since it is smaller than the sum of its proper divisors (64553375078360).

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

44005054404520 is a wasteful number, since it uses less digits than its factorization.

44005054404520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326507 (or 326503 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 37.

Adding to 44005054404520 its reverse (2540445050044), we get a palindrome (46545499454564).

The spelling of 44005054404520 in words is "forty-four trillion, five billion, fifty-four million, four hundred four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 233 440 466 932 1165 1321 1864 2330 2563 2642 4660 5126 5284 6605 9320 10252 10568 12815 13210 14531 20504 25630 26420 29062 51260 52840 58124 72655 102520 116248 145310 290620 307793 324931 581240 615586 649862 1231172 1299724 1538965 1624655 2462344 2599448 3077930 3249310 3385723 3574241 6155860 6498620 6771446 7148482 12311720 12997240 13542892 14296964 16928615 17871205 27085784 28593928 33857230 35742410 67714460 71484820 75708923 135428920 142969640 151417846 302835692 378544615 429233851 605671384 757089230 832798153 858467702 1514178460 1665596306 1716935404 2146169255 3028356920 3331192612 3433870808 4163990765 4292338510 4721572361 6662385224 8327981530 8584677020 9443144722 16655963060 17169354040 18886289444 23607861805 33311926120 37772578888 47215723610 94431447220 100011487283 188862894440 200022974566 400045949132 500057436415 800091898264 1000114872830 1100126360113 2000229745660 2200252720226 4000459491320 4400505440452 5500631800565 8801010880904 11001263601130 22002527202260 44005054404520