Search a number
-
+
312713720197074 = 232713441718463847
BaseRepresentation
bin100011100011010010101011…
…0001101010110111111010010
31112000020010202211111022111200
41013012211112031112333102
5311442000144332301244
63025030411055052030
7122603551335204510
oct10706452615267722
91460203684438450
10312713720197074
1190705164692069
122b0a6020211016
1310564a148c4731
1457315d39994b0
1526246050ea669
hex11c6956356fd2

312713720197074 has 48 divisors (see below), whose sum is σ = 774344538384768. Its totient is φ = 89346107661696.

The previous prime is 312713720197069. The next prime is 312713720197097. The reversal of 312713720197074 is 470791027317213.

312713720197074 is a `hidden beast` number, since 3 + 1 + 271 + 37 + 201 + 9 + 70 + 74 = 666.

It is a super-2 number, since 2×3127137201970742 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 312713720197074.

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, 7704619 + ... + 26168465.

It is an arithmetic number, because the mean of its divisors is an integer number (16132177883016).

Almost surely, 2312713720197074 is an apocalyptic number.

312713720197074 is an abundant number, since it is smaller than the sum of its proper divisors (461630818187694).

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

312713720197074 is a wasteful number, since it uses less digits than its factorization.

312713720197074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18598279 (or 18598276 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 54.

The spelling of 312713720197074 in words is "three hundred twelve trillion, seven hundred thirteen billion, seven hundred twenty million, one hundred ninety-seven thousand, seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 134417 268834 403251 806502 940919 1209753 1881838 2419506 2822757 5645514 8468271 16936542 18463847 36927694 55391541 110783082 129246929 166174623 258493858 332349246 387740787 775481574 1163222361 2326444722 2481854922199 4963709844398 7445564766597 14891129533194 17372984455393 22336694299791 34745968910786 44673388599582 52118953366179 104237906732358 156356860098537 312713720197074