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41313040440 = 23357103477497
BaseRepresentation
bin100110011110011100…
…101111100000111000
310221122011202220100220
4212132130233200320
51134102114243230
630551241500040
72661530023020
oct463634574070
9127564686326
1041313040440
1116580152831
12800b7a1620
133b85104c79
141ddcb24a80
15111be00d10
hex99e72f838

41313040440 has 128 divisors (see below), whose sum is σ = 143020200960. Its totient is φ = 9351281664.

The previous prime is 41313040411. The next prime is 41313040459. The reversal of 41313040440 is 4404031314.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 41313040440.

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, 152229 + ... + 325268.

It is an arithmetic number, because the mean of its divisors is an integer number (1117345320).

Almost surely, 241313040440 is an apocalyptic number.

41313040440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41313040440 is an abundant number, since it is smaller than the sum of its proper divisors (101707160520).

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

41313040440 is a wasteful number, since it uses less digits than its factorization.

41313040440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477621 (or 477617 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 41313040440 its reverse (4404031314), we get a palindrome (45717071754).

The spelling of 41313040440 in words is "forty-one billion, three hundred thirteen million, forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 103 105 120 140 168 206 210 280 309 412 420 515 618 721 824 840 1030 1236 1442 1545 2060 2163 2472 2884 3090 3605 4120 4326 5768 6180 7210 8652 10815 12360 14420 17304 21630 28840 43260 86520 477497 954994 1432491 1909988 2387485 2864982 3342479 3819976 4774970 5729964 6684958 7162455 9549940 10027437 11459928 13369916 14324910 16712395 19099880 20054874 26739832 28649820 33424790 40109748 49182191 50137185 57299640 66849580 80219496 98364382 100274370 133699160 147546573 196728764 200548740 245910955 295093146 344275337 393457528 401097480 491821910 590186292 688550674 737732865 983643820 1032826011 1180372584 1377101348 1475465730 1721376685 1967287640 2065652022 2754202696 2950931460 3442753370 4131304044 5164130055 5901862920 6885506740 8262608088 10328260110 13771013480 20656520220 41313040440