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21204131144 = 2371722945179
BaseRepresentation
bin10011101111110111…
…010101110101001000
32000201202022110122112
4103233313111311020
5321411224144034
613424022041452
71350313066220
oct235767256510
960652273575
1021204131144
118aa11a7629
124139279288
131ccbcb7581
1410521ad080
158418207ce
hex4efdd5d48

21204131144 has 96 divisors (see below), whose sum is σ = 49932936000. Its totient is φ = 8257815552.

The previous prime is 21204131131. The next prime is 21204131149. The reversal of 21204131144 is 44113140212.

It is not an unprimeable number, because it can be changed into a prime (21204131149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 446747 + ... + 491925.

It is an arithmetic number, because the mean of its divisors is an integer number (520134750).

Almost surely, 221204131144 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 21204131144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24966468000).

21204131144 is an abundant number, since it is smaller than the sum of its proper divisors (28728804856).

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

21204131144 is a wasteful number, since it uses less digits than its factorization.

21204131144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45255 (or 45234 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 21204131144 its reverse (44113140212), we get a palindrome (65317271356).

The spelling of 21204131144 in words is "twenty-one billion, two hundred four million, one hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 17 28 29 34 56 58 68 116 119 136 203 232 238 289 406 476 493 578 812 952 986 1156 1624 1972 2023 2312 3451 3944 4046 6902 8092 8381 13804 16184 16762 27608 33524 45179 58667 67048 90358 117334 180716 234668 316253 361432 469336 632506 768043 1265012 1310191 1536086 2530024 2620382 3072172 5240764 5376301 6144344 9171337 10481528 10752602 13056731 18342674 21505204 22273247 26113462 36685348 43010408 44546494 52226924 73370696 89092988 91397117 104453848 155912729 178185976 182794234 311825458 365588468 378645199 623650916 731176936 757290398 1247301832 1514580796 2650516393 3029161592 5301032786 10602065572 21204131144