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4414990320 = 2433513157229
BaseRepresentation
bin1000001110010011…
…10110011111110000
3102101200120202011000
410013021312133300
533020214142240
62010032322000
7214256540616
oct40711663760
912350522130
104414990320
111966168634
12a326a3300
135548b1110
142dc4db6b6
151ac8ea430
hex1072767f0

4414990320 has 160 divisors (see below), whose sum is σ = 16377076800. Its totient is φ = 1086759936.

The previous prime is 4414990297. The next prime is 4414990367. The reversal of 4414990320 is 230994144.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50535 + ... + 106694.

It is an arithmetic number, because the mean of its divisors is an integer number (102356730).

Almost surely, 24414990320 is an apocalyptic number.

4414990320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4414990320 is an abundant number, since it is smaller than the sum of its proper divisors (11962086480).

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

4414990320 is a wasteful number, since it uses less digits than its factorization.

4414990320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157264 (or 157252 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4414990320 is about 66445.3935197919. The cubic root of 4414990320 is about 1640.5013240322.

The spelling of 4414990320 in words is "four billion, four hundred fourteen million, nine hundred ninety thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 45 48 52 54 60 65 72 78 80 90 104 108 117 120 130 135 144 156 180 195 208 216 234 240 260 270 312 351 360 390 432 468 520 540 585 624 702 720 780 936 1040 1080 1170 1404 1560 1755 1872 2160 2340 2808 3120 3510 4680 5616 7020 9360 14040 28080 157229 314458 471687 628916 786145 943374 1257832 1415061 1572290 1886748 2043977 2358435 2515664 2830122 3144580 3773496 4087954 4245183 4716870 5660244 6131931 6289160 7075305 7546992 8175908 8490366 9433740 10219885 11320488 12263862 12578320 14150610 16351816 16980732 18395793 18867480 20439770 21225915 22640976 24527724 28301220 30659655 32703632 33961464 36791586 37734960 40879540 42451830 49055448 55187379 56602440 61319310 67922928 73583172 81759080 84903660 91978965 98110896 110374758 113204880 122638620 147166344 163518160 169807320 183957930 220749516 245277240 275936895 294332688 339614640 367915860 441499032 490554480 551873790 735831720 882998064 1103747580 1471663440 2207495160 4414990320