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20044442440 = 23511412394649
BaseRepresentation
bin10010101010101111…
…011110101101001000
31220201221011011211001
4102222233132231020
5312022334124230
613112553544344
71306501643461
oct225257365510
956657134731
1020044442440
118556624310
123a74a150b4
131b75968539
14d82173d68
157c4ae90ca
hex4aabdeb48

20044442440 has 128 divisors (see below), whose sum is σ = 50621760000. Its totient is φ = 7079833600.

The previous prime is 20044442423. The next prime is 20044442471. The reversal of 20044442440 is 4424444002.

It is a junction number, because it is equal to n+sod(n) for n = 20044442399 and 20044442408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4309236 + ... + 4313884.

It is an arithmetic number, because the mean of its divisors is an integer number (395482500).

Almost surely, 220044442440 is an apocalyptic number.

20044442440 is a gapful number since it is divisible by the number (20) 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 20044442440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25310880000).

20044442440 is an abundant number, since it is smaller than the sum of its proper divisors (30577317560).

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

20044442440 is a wasteful number, since it uses less digits than its factorization.

20044442440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4951 (or 4947 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 20044442440 its reverse (4424444002), we get a palindrome (24468886442).

It can be divided in two parts, 2004 and 4442440, that added together give a palindrome (4444444).

The spelling of 20044442440 in words is "twenty billion, forty-four million, four hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 82 88 110 164 205 220 239 328 410 440 451 478 820 902 956 1195 1640 1804 1912 2255 2390 2629 3608 4510 4649 4780 5258 9020 9298 9560 9799 10516 13145 18040 18596 19598 21032 23245 26290 37192 39196 46490 48995 51139 52580 78392 92980 97990 102278 105160 107789 185960 190609 195980 204556 215578 255695 381218 391960 409112 431156 511390 538945 762436 862312 953045 1022780 1077890 1111111 1524872 1906090 2045560 2096699 2155780 2222222 3812180 4193398 4311560 4444444 5555555 7624360 8386796 8888888 10483495 11111110 12222221 16773592 20966990 22222220 24444442 41933980 44444440 45555551 48888884 61111105 83867960 91111102 97777768 122222210 182222204 227777755 244444420 364444408 455555510 488888840 501111061 911111020 1002222122 1822222040 2004444244 2505555305 4008888488 5011110610 10022221220 20044442440