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14939520400 = 2452722132411
BaseRepresentation
bin11011110100111011…
…01111110110010000
31102120011100021021101
431322131233312100
5221044004123100
610510233434144
71036133554030
oct157235576620
942504307241
1014939520400
116376a73882
122a8b26b954
1315411619cc
14a1a19d8c0
155c686986a
hex37a76fd90

14939520400 has 120 divisors (see below), whose sum is σ = 41055211584. Its totient is φ = 5117683200.

The previous prime is 14939520391. The next prime is 14939520437. The reversal of 14939520400 is 402593941.

It is a self number, because there is not a number n which added to its sum of digits gives 14939520400.

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, 6195195 + ... + 6197605.

Almost surely, 214939520400 is an apocalyptic number.

14939520400 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 14939520400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20527605792).

14939520400 is an abundant number, since it is smaller than the sum of its proper divisors (26115691184).

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

14939520400 is a wasteful number, since it uses less digits than its factorization.

14939520400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4649 (or 4638 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The spelling of 14939520400 in words is "fourteen billion, nine hundred thirty-nine million, five hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2213 2411 2800 4426 4822 8852 9644 11065 12055 15491 16877 17704 19288 22130 24110 30982 33754 35408 38576 44260 48220 55325 60275 61964 67508 77455 84385 88520 96440 110650 120550 123928 135016 154910 168770 177040 192880 221300 241100 247856 270032 309820 337540 387275 421925 442600 482200 619640 675080 774550 843850 885200 964400 1239280 1350160 1549100 1687700 3098200 3375400 5335543 6196400 6750800 10671086 21342172 26677715 37348801 42684344 53355430 74697602 85368688 106710860 133388575 149395204 186744005 213421720 266777150 298790408 373488010 426843440 533554300 597580816 746976020 933720025 1067108600 1493952040 1867440050 2134217200 2987904080 3734880100 7469760200 14939520400