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21441113043400 = 23522291493313561
BaseRepresentation
bin1001110000000001001011…
…11011010011000111001000
32210220202021000220022010201
410320000211323103013020
510302242344414342100
6113333524504021544
74342032524542141
oct470004573230710
983822230808121
1021441113043400
116917141387346
1224a35214618b4
13bc6b71739a0b
14541a80baaac8
15272aec58d36a
hex138025ed31c8

21441113043400 has 96 divisors (see below), whose sum is σ = 50101971114600. Its totient is φ = 8533246924800.

The previous prime is 21441113043289. The next prime is 21441113043401. The reversal of 21441113043400 is 434031114412.

It can be written as a sum of positive squares in 12 ways, for example, as 4837721068324 + 16603391975076 = 2199482^2 + 4074726^2 .

It is a super-2 number, since 2×214411130434002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21441113043401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 68222620 + ... + 68536180.

Almost surely, 221441113043400 is an apocalyptic number.

21441113043400 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 21441113043400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25050985557300).

21441113043400 is an abundant number, since it is smaller than the sum of its proper divisors (28660858071200).

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

21441113043400 is a wasteful number, since it uses less digits than its factorization.

21441113043400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315299 (or 315290 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 21441113043400 its reverse (434031114412), we get a palindrome (21875144157812).

The spelling of 21441113043400 in words is "twenty-one trillion, four hundred forty-one billion, one hundred thirteen million, forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 229 458 916 1145 1493 1832 2290 2986 4580 5725 5972 7465 9160 11450 11944 14930 22900 29860 37325 45800 59720 74650 149300 298600 313561 341897 627122 683794 1254244 1367588 1567805 1709485 2508488 2735176 3135610 3418970 6271220 6837940 7839025 8547425 12542440 13675880 15678050 17094850 31356100 34189700 62712200 68379400 71805469 143610938 287221876 359027345 468146573 574443752 718054690 936293146 1436109380 1795136725 1872586292 2340732865 2872218760 3590273450 3745172584 4681465730 7180546900 9362931460 11703664325 14361093800 18725862920 23407328650 46814657300 93629314600 107205565217 214411130434 428822260868 536027826085 857644521736 1072055652170 2144111304340 2680139130425 4288222608680 5360278260850 10720556521700 21441113043400