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21044401040 = 24513149913499
BaseRepresentation
bin10011100110010110…
…000001001110010000
32000022121202100010202
4103212112001032100
5321044331313130
613400114314332
71343333312615
oct234626011620
960277670122
1021044401040
118a1a019a83
1240b38889a8
131ca4b8c910
141038cb050c
158327bd145
hex4e6581390

21044401040 has 80 divisors (see below), whose sum is σ = 52731000000. Its totient is φ = 7764481536.

The previous prime is 21044401039. The next prime is 21044401043. The reversal of 21044401040 is 4010444012.

It is a happy number.

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 not an unprimeable number, because it can be changed into a prime (21044401043) 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, 1552211 + ... + 1565709.

It is an arithmetic number, because the mean of its divisors is an integer number (659137500).

Almost surely, 221044401040 is an apocalyptic number.

21044401040 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 21044401040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26365500000).

21044401040 is an abundant number, since it is smaller than the sum of its proper divisors (31686598960).

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

21044401040 is a wasteful number, since it uses less digits than its factorization.

21044401040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15024 (or 15018 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 21044401040 its reverse (4010444012), we get a palindrome (25054845052).

The spelling of 21044401040 in words is "twenty-one billion, forty-four million, four hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1499 2998 5996 7495 11992 13499 14990 19487 23984 26998 29980 38974 53996 59960 67495 77948 97435 107992 119920 134990 155896 175487 194870 215984 269980 311792 350974 389740 539960 701948 779480 877435 1079920 1403896 1558960 1754870 2807792 3509740 7019480 14038960 20235001 40470002 80940004 101175005 161880008 202350010 263055013 323760016 404700020 526110026 809400040 1052220052 1315275065 1618800080 2104440104 2630550130 4208880208 5261100260 10522200520 21044401040