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14032554640 = 24513431791753
BaseRepresentation
bin11010001000110011…
…11100101010010000
31100012221201122010221
431010121330222100
5212214313222030
610240234202424
71004511514006
oct150431745220
940187648127
1014032554640
115a51013aa5
122877583414
131428299890
1497194ca76
15571e13e7a
hex34467ca90

14032554640 has 160 divisors (see below), whose sum is σ = 36173934720. Its totient is φ = 5029613568.

The previous prime is 14032554637. The next prime is 14032554667. The reversal of 14032554640 is 4645523041.

It is a junction number, because it is equal to n+sod(n) for n = 14032554596 and 14032554605.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8004004 + ... + 8005756.

It is an arithmetic number, because the mean of its divisors is an integer number (226087092).

Almost surely, 214032554640 is an apocalyptic number.

14032554640 is a gapful number since it is divisible by the number (10) 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 14032554640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18086967360).

14032554640 is an abundant number, since it is smaller than the sum of its proper divisors (22141380080).

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

14032554640 is a wasteful number, since it uses less digits than its factorization.

14032554640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001 (or 1995 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The spelling of 14032554640 in words is "fourteen billion, thirty-two million, five hundred fifty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 43 52 65 80 86 104 130 172 179 208 215 260 344 358 430 520 559 688 716 860 895 1040 1118 1432 1720 1753 1790 2236 2327 2795 2864 3440 3506 3580 4472 4654 5590 7012 7160 7697 8765 8944 9308 11180 11635 14024 14320 15394 17530 18616 22360 22789 23270 28048 30788 35060 37232 38485 44720 45578 46540 61576 70120 75379 76970 91156 93080 100061 113945 123152 140240 150758 153940 182312 186160 200122 227890 301516 307880 313787 364624 376895 400244 455780 500305 603032 615760 627574 753790 800488 911560 979927 1000610 1206064 1255148 1507580 1568935 1600976 1823120 1959854 2001220 2510296 3015160 3137870 3919708 4002440 4079231 4899635 5020592 6030320 6275740 7839416 8004880 8158462 9799270 12551480 13492841 15678832 16316924 19598540 20396155 25102960 26985682 32633848 39197080 40792310 53971364 65267696 67464205 78394160 81584620 107942728 134928410 163169240 175406933 215885456 269856820 326338480 350813866 539713640 701627732 877034665 1079427280 1403255464 1754069330 2806510928 3508138660 7016277320 14032554640