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14714260992 = 29324197621
BaseRepresentation
bin11011011010000100…
…11100111000000000
31101222110110220110100
431231002130320000
5220113322322432
610432025402400
71030430104044
oct155502347000
941873426410
1014714260992
1162708a9082
122a27939400
1315065a2412
149d82c4024
155b1bc107c
hex36d09ce00

14714260992 has 120 divisors (see below), whose sum is σ = 42573290760. Its totient is φ = 4892405760.

The previous prime is 14714260889. The next prime is 14714261059. The reversal of 14714260992 is 29906241741.

It is a congruent number.

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, 1926942 + ... + 1934562.

It is an arithmetic number, because the mean of its divisors is an integer number (354777423).

Almost surely, 214714260992 is an apocalyptic number.

14714260992 is a gapful number since it is divisible by the number (12) 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 14714260992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21286645380).

14714260992 is an abundant number, since it is smaller than the sum of its proper divisors (27859029768).

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

14714260992 is an equidigital number, since it uses as much as digits as its factorization.

14714260992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8064 (or 8045 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 14714260992 in words is "fourteen billion, seven hundred fourteen million, two hundred sixty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 419 512 576 768 838 1152 1257 1536 1676 2304 2514 3352 3771 4608 5028 6704 7542 7621 10056 13408 15084 15242 20112 22863 26816 30168 30484 40224 45726 53632 60336 60968 68589 80448 91452 107264 120672 121936 137178 160896 182904 214528 241344 243872 274356 321792 365808 482688 487744 548712 643584 731616 965376 975488 1097424 1463232 1930752 1950976 2194848 2926464 3193199 3901952 4389696 5852928 6386398 8779392 9579597 11705856 12772796 17558784 19159194 25545592 28738791 35117568 38318388 51091184 57477582 76636776 102182368 114955164 153273552 204364736 229910328 306547104 408729472 459820656 613094208 817458944 919641312 1226188416 1634917888 1839282624 2452376832 3678565248 4904753664 7357130496 14714260992