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21145234044 = 223113137139661
BaseRepresentation
bin10011101100010110…
…101010101001111100
32000120122111012000110
4103230112222221330
5321301134442134
613414115430020
71345666344444
oct235426525174
960518435013
1021145234044
118a70a2a340
1241215b5310
131cbca3560c
14104843b124
1583b5897e9
hex4ec5aaa7c

21145234044 has 96 divisors (see below), whose sum is σ = 57062541312. Its totient is φ = 6033312000.

The previous prime is 21145234039. The next prime is 21145234051. The reversal of 21145234044 is 44043254112.

It is a congruent number.

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, 81574 + ... + 221234.

It is an arithmetic number, because the mean of its divisors is an integer number (594401472).

Almost surely, 221145234044 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 21145234044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28531270656).

21145234044 is an abundant number, since it is smaller than the sum of its proper divisors (35917307268).

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

21145234044 is a wasteful number, since it uses less digits than its factorization.

21145234044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139747 (or 139745 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 21145234044 its reverse (44043254112), we get a palindrome (65188488156).

The spelling of 21145234044 in words is "twenty-one billion, one hundred forty-five million, two hundred thirty-four thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 31 33 37 44 62 66 74 93 111 124 132 148 186 222 341 372 407 444 682 814 1023 1147 1221 1364 1628 2046 2294 2442 3441 4092 4588 4884 6882 12617 13764 25234 37851 50468 75702 139661 151404 279322 418983 558644 837966 1536271 1675932 3072542 4329491 4608813 5167457 6145084 8658982 9217626 10334914 12988473 15502371 17317964 18435252 20669828 25976946 31004742 47624401 51953892 56842027 62009484 95248802 113684054 142873203 160191167 170526081 190497604 227368108 285746406 320382334 341052162 480573501 571492812 640764668 682104324 961147002 1762102837 1922294004 3524205674 5286308511 7048411348 10572617022 21145234044