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45440131410 = 23355313032437
BaseRepresentation
bin101010010100011100…
…010110000101010010
311100021210121211212000
4222110130112011102
51221030133201120
632512551414430
73166022513142
oct522434260522
9140253554760
1045440131410
11182a8851313
128981984416
13439216402b
1422b0cbc922
1512ae3cc990
hexa94716152

45440131410 has 128 divisors (see below), whose sum is σ = 123605429760. Its totient is φ = 11874739968.

The previous prime is 45440131379. The next prime is 45440131469. The reversal of 45440131410 is 1413104454.

45440131410 is a `hidden beast` number, since 454 + 40 + 131 + 41 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18644712 + ... + 18647148.

It is an arithmetic number, because the mean of its divisors is an integer number (965667420).

Almost surely, 245440131410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45440131410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61802714880).

45440131410 is an abundant number, since it is smaller than the sum of its proper divisors (78165298350).

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

45440131410 is a wasteful number, since it uses less digits than its factorization.

45440131410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3809 (or 3803 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 45440131410 its reverse (1413104454), we get a palindrome (46853235864).

The spelling of 45440131410 in words is "forty-five billion, four hundred forty million, one hundred thirty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 90 106 135 159 265 270 318 477 530 795 954 1303 1431 1590 2385 2437 2606 2862 3909 4770 4874 6515 7155 7311 7818 11727 12185 13030 14310 14622 19545 21933 23454 24370 35181 36555 39090 43866 58635 65799 69059 70362 73110 109665 117270 129161 131598 138118 175905 207177 219330 258322 328995 345295 351810 387483 414354 621531 645805 657990 690590 774966 1035885 1162449 1243062 1291610 1864593 1937415 2071770 2324898 3107655 3175411 3487347 3729186 3874830 5812245 6215310 6350822 6974694 9322965 9526233 11624490 15877055 17436735 18645930 19052466 28578699 31754110 34873470 47631165 57157398 85736097 95262330 142893495 168296783 171472194 285786990 336593566 428680485 504890349 841483915 857360970 1009780698 1514671047 1682967830 2524451745 3029342094 4544013141 5048903490 7573355235 9088026282 15146710470 22720065705 45440131410