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2014315978756 = 2273297212
BaseRepresentation
bin11101010011111110100…
…101101010000000000100
321010120022010212220220111
4131103332211222000010
5231000304342310011
64141210342042404
7265346425213324
oct35237645520004
97116263786814
102014315978756
117072a2947594
1228647a419404
13117c45477013
146d6c9cd9284
15375e4c29121
hex1d4fe96a004

2014315978756 has 27 divisors (see below), whose sum is σ = 3574370540223. Its totient is φ = 993259117440.

The previous prime is 2014315978733. The next prime is 2014315978841. The reversal of 2014315978756 is 6578795134102.

The square root of 2014315978756 is 1419266.

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 567626628100 + 1446689350656 = 753410^2 + 1202784^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2014315978756.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 207207976 + ... + 207217696.

It is a 2-persistent number, because it is pandigital, and so is 2⋅2014315978756 = 4028631957512, but 3⋅2014315978756 = 6042947936268 is not.

Almost surely, 22014315978756 is an apocalyptic number.

2014315978756 is the 1419266-th square number.

It is an amenable number.

2014315978756 is a deficient number, since it is larger than the sum of its proper divisors (1560054561467).

2014315978756 is an frugal number, since it uses more digits than its factorization.

2014315978756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19592 (or 9796 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 58.

The spelling of 2014315978756 in words is "two trillion, fourteen billion, three hundred fifteen million, nine hundred seventy-eight thousand, seven hundred fifty-six".

Divisors: 1 2 4 73 146 292 5329 9721 10658 19442 21316 38884 709633 1419266 2838532 51803209 94497841 103606418 188995682 207212836 377991364 6898342393 13796684786 27593369572 503578994689 1007157989378 2014315978756