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14383199520 = 2532517587549
BaseRepresentation
bin11010110010100111…
…00011010100100000
31101010101112020111100
431121103203110200
5213424044341040
610335121514400
71016300115204
oct153123432440
941111466440
1014383199520
116110a39758
122954aa2a00
131482b1a461
149a6346b04
15592ac8b30
hex3594e3520

14383199520 has 144 divisors (see below), whose sum is σ = 51969972600. Its totient is φ = 3609894912.

The previous prime is 14383199497. The next prime is 14383199533. The reversal of 14383199520 is 2599138341.

It is a happy number.

14383199520 is a `hidden beast` number, since 1 + 4 + 3 + 8 + 31 + 99 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8903054736 + 5480144784 = 94356^2 + 74028^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 269295 + ... + 318254.

Almost surely, 214383199520 is an apocalyptic number.

14383199520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14383199520 is an abundant number, since it is smaller than the sum of its proper divisors (37586773080).

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

14383199520 is a wasteful number, since it uses less digits than its factorization.

14383199520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587587 (or 587576 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 14383199520 in words is "fourteen billion, three hundred eighty-three million, one hundred ninety-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 68 72 80 85 90 96 102 120 136 144 153 160 170 180 204 240 255 272 288 306 340 360 408 480 510 544 612 680 720 765 816 1020 1224 1360 1440 1530 1632 2040 2448 2720 3060 4080 4896 6120 8160 12240 24480 587549 1175098 1762647 2350196 2937745 3525294 4700392 5287941 5875490 7050588 8813235 9400784 9988333 10575882 11750980 14101176 17626470 18801568 19976666 21151764 23501960 26439705 28202352 29964999 35252940 39953332 42303528 47003920 49941665 52879410 56404704 59929998 70505880 79906664 84607056 89894997 94007840 99883330 105758820 119859996 141011760 149824995 159813328 169214112 179789994 199766660 211517640 239719992 282023520 299649990 319626656 359579988 399533320 423035280 449474985 479439984 599299980 719159976 799066640 846070560 898949970 958879968 1198599960 1438319952 1598133280 1797899940 2397199920 2876639904 3595799880 4794399840 7191599760 14383199520