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20044403120 = 2457148724071
BaseRepresentation
bin10010101010101111…
…010101000110110000
31220201221002011212202
4102222233111012300
5312022331344440
613112553042332
71306501421030
oct225257250660
956657064782
1020044403120
1185565a7815
123a749b63a8
131b75953681
14d821638c0
157c4adc615
hex4aabd51b0

20044403120 has 80 divisors (see below), whose sum is σ = 53298874368. Its totient is φ = 6867459840.

The previous prime is 20044403069. The next prime is 20044403201. The reversal of 20044403120 is 2130444002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20044403092 and 20044403101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 820685 + ... + 844755.

Almost surely, 220044403120 is an apocalyptic number.

20044403120 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 20044403120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26649437184).

20044403120 is an abundant number, since it is smaller than the sum of its proper divisors (33254471248).

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

20044403120 is a wasteful number, since it uses less digits than its factorization.

20044403120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25578 (or 25572 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 20044403120 its reverse (2130444002), we get a palindrome (22174847122).

The spelling of 20044403120 in words is "twenty billion, forty-four million, four hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1487 2974 5948 7435 10409 11896 14870 20818 23792 24071 29740 41636 48142 52045 59480 83272 96284 104090 118960 120355 166544 168497 192568 208180 240710 336994 385136 416360 481420 673988 832720 842485 962840 1347976 1684970 1925680 2695952 3369940 6739880 13479760 35793577 71587154 143174308 178967885 250555039 286348616 357935770 501110078 572697232 715871540 1002220156 1252775195 1431743080 2004440312 2505550390 2863486160 4008880624 5011100780 10022201560 20044403120