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21141013024 = 2519416113903
BaseRepresentation
bin10011101100000110…
…100100001000100000
32000120100112201212101
4103230012210020200
5321244044404044
613413445140144
71345615434325
oct235406441040
960510481771
1021141013024
118a69606a9a
1241200ba654
131cbbbb8281
141047a5cb4c
1583b003cd4
hex4ec1a4220

21141013024 has 96 divisors (see below), whose sum is σ = 45619580160. Its totient is φ = 9609062400.

The previous prime is 21141012979. The next prime is 21141013057. The reversal of 21141013024 is 42031014112.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 21141012992 and 21141013010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1513657 + ... + 1527559.

It is an arithmetic number, because the mean of its divisors is an integer number (475203960).

Almost surely, 221141013024 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 21141013024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22809790080).

21141013024 is an abundant number, since it is smaller than the sum of its proper divisors (24478567136).

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

21141013024 is a wasteful number, since it uses less digits than its factorization.

21141013024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14034 (or 14026 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 21141013024 its reverse (42031014112), we get a palindrome (63172027136).

The spelling of 21141013024 in words is "twenty-one billion, one hundred forty-one million, thirteen thousand, twenty-four".

Divisors: 1 2 4 8 16 19 32 38 41 61 76 82 122 152 164 244 304 328 488 608 656 779 976 1159 1312 1558 1952 2318 2501 3116 4636 5002 6232 9272 10004 12464 13903 18544 20008 24928 27806 37088 40016 47519 55612 80032 95038 111224 190076 222448 264157 380152 444896 528314 570023 760304 848083 1056628 1140046 1520608 1696166 2113256 2280092 3392332 4226512 4560184 6784664 8453024 9120368 10830437 13569328 16113577 18240736 21660874 27138656 32227154 34771403 43321748 64454308 69542806 86643496 128908616 139085612 173286992 257817232 278171224 346573984 515634464 556342448 660656657 1112684896 1321313314 2642626628 5285253256 10570506512 21141013024