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1316130396192 = 253223316409393
BaseRepresentation
bin10011001001101111011…
…111000001100000100000
311122211011101112110222100
4103021233133001200200
5133030413340134232
62444342202010400
7164041636532463
oct23115737014040
94584141473870
101316130396192
1146819332a637
121930a94a6a00
1397158ba7581
14479b59812da
15243800c6c7c
hex1326f7c1820

1316130396192 has 144 divisors (see below), whose sum is σ = 4031457550848. Its totient is φ = 406099077120.

The previous prime is 1316130396149. The next prime is 1316130396199. The reversal of 1316130396192 is 2916930316131.

1316130396192 is a `hidden beast` number, since 1 + 3 + 16 + 13 + 0 + 3 + 9 + 619 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (1316130396199) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2999353 + ... + 3410040.

It is an arithmetic number, because the mean of its divisors is an integer number (27996232992).

Almost surely, 21316130396192 is an apocalyptic number.

1316130396192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1316130396192 is an abundant number, since it is smaller than the sum of its proper divisors (2715327154656).

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

1316130396192 is a wasteful number, since it uses less digits than its factorization.

1316130396192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6409463 (or 6409452 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The spelling of 1316130396192 in words is "one trillion, three hundred sixteen billion, one hundred thirty million, three hundred ninety-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 31 32 36 46 48 62 69 72 92 93 96 124 138 144 184 186 207 248 276 279 288 368 372 414 496 552 558 713 736 744 828 992 1104 1116 1426 1488 1656 2139 2208 2232 2852 2976 3312 4278 4464 5704 6417 6624 8556 8928 11408 12834 17112 22816 25668 34224 51336 68448 102672 205344 6409393 12818786 19228179 25637572 38456358 51275144 57684537 76912716 102550288 115369074 147416039 153825432 198691183 205100576 230738148 294832078 307650864 397382366 442248117 461476296 589664156 596073549 615301728 794764732 884496234 922952592 1179328312 1192147098 1326744351 1589529464 1768992468 1788220647 1845905184 2358656624 2384294196 2653488702 3179058928 3537984936 3576441294 4569897209 4717313248 4768588392 5306977404 6358117856 7075969872 7152882588 9139794418 9537176784 10613954808 13709691627 14151939744 14305765176 18279588836 19074353568 21227909616 27419383254 28611530352 36559177672 41129074881 42455819232 54838766508 57223060704 73118355344 82258149762 109677533016 146236710688 164516299524 219355066032 329032599048 438710132064 658065198096 1316130396192