Search a number
-
+
714079081024 = 2653219932
BaseRepresentation
bin10100110010000100110…
…11100001001001000000
32112021011101202211002021
422121002123201021000
543144413221043044
61304013212531224
7102406355016661
oct12310233411100
92467141684067
10714079081024
11255926030651
12b6487780b14
1352450276b0a
14267c10c5368
151389510be84
hexa6426e1240

714079081024 has 63 divisors (see below), whose sum is σ = 1444966008843. Its totient is φ = 350127178752.

The previous prime is 714079081007. The next prime is 714079081061. The reversal of 714079081024 is 420180970417.

The square root of 714079081024 is 845032.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 146407247424 + 567671833600 = 382632^2 + 753440^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 358292572 + ... + 358294564.

Almost surely, 2714079081024 is an apocalyptic number.

714079081024 is the 845032-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 714079081024

714079081024 is an abundant number, since it is smaller than the sum of its proper divisors (730886927819).

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

714079081024 is an frugal number, since it uses more digits than its factorization.

714079081024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4104 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 43.

The spelling of 714079081024 in words is "seven hundred fourteen billion, seventy-nine million, eighty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 32 53 64 106 212 424 848 1696 1993 2809 3392 3986 5618 7972 11236 15944 22472 31888 44944 63776 89888 105629 127552 179776 211258 422516 845032 1690064 3380128 3972049 5598337 6760256 7944098 11196674 15888196 22393348 31776392 44786696 63552784 89573392 127105568 179146784 210518597 254211136 358293568 421037194 842074388 1684148776 3368297552 6736595104 11157485641 13473190208 22314971282 44629942564 89259885128 178519770256 357039540512 714079081024