Search a number
-
+
14740080800 = 255225771693
BaseRepresentation
bin11011011101001001…
…11100100010100000
31102001021001200120112
431232210330202200
5220141430041200
610434351030452
71031162422334
oct155644744240
942037050515
1014740080800
116284433965
122a3450b428
13150ba42803
149db8c57c4
155b40c1535
hex36e93c8a0

14740080800 has 72 divisors (see below), whose sum is σ = 36124742556. Its totient is φ = 5873008640.

The previous prime is 14740080769. The next prime is 14740080829. The reversal of 14740080800 is 808004741.

It can be written as a sum of positive squares in 6 ways, for example, as 7695500176 + 7044580624 = 87724^2 + 83932^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169754 + ... + 241446.

Almost surely, 214740080800 is an apocalyptic number.

14740080800 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 14740080800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18062371278).

14740080800 is an abundant number, since it is smaller than the sum of its proper divisors (21384661756).

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

14740080800 is a wasteful number, since it uses less digits than its factorization.

14740080800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71970 (or 71957 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The spelling of 14740080800 in words is "fourteen billion, seven hundred forty million, eighty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 257 400 514 800 1028 1285 2056 2570 4112 5140 6425 8224 10280 12850 20560 25700 41120 51400 71693 102800 143386 205600 286772 358465 573544 716930 1147088 1433860 1792325 2294176 2867720 3584650 5735440 7169300 11470880 14338600 18425101 28677200 36850202 57354400 73700404 92125505 147400808 184251010 294801616 368502020 460627525 589603232 737004040 921255050 1474008080 1842510100 2948016160 3685020200 7370040400 14740080800