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312314330201445 = 325111348533695447
BaseRepresentation
bin100011100000011000101100…
…0101101011011110101100101
31111221210221212122202101012100
41013000301120231123311211
5311413424222012421240
63024123120025242313
7122532652151231055
oct10700613055336545
91457727778671170
10312314330201445
1190570844421010
122b040739333399
1310536165775830
14571a146825565
15261902c048e30
hex11c0c58b5bd65

312314330201445 has 48 divisors (see below), whose sum is σ = 635985545150592. Its totient is φ = 139777042884480.

The previous prime is 312314330201417. The next prime is 312314330201479. The reversal of 312314330201445 is 544102033413213.

312314330201445 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 1 + 4 + 3 + 3 + 0 + 201 + 445 = 666.

It is not a de Polignac number, because 312314330201445 - 211 = 312314330199397 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24266841289 + ... + 24266854158.

It is an arithmetic number, because the mean of its divisors is an integer number (13249698857304).

Almost surely, 2312314330201445 is an apocalyptic number.

It is an amenable number.

312314330201445 is an abundant number, since it is smaller than the sum of its proper divisors (323671214949147).

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

312314330201445 is a wasteful number, since it uses less digits than its factorization.

312314330201445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48533695482 (or 48533695479 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 312314330201445 its reverse (544102033413213), we get a palindrome (856416363614658).

The spelling of 312314330201445 in words is "three hundred twelve trillion, three hundred fourteen billion, three hundred thirty million, two hundred one thousand, four hundred forty-five".

Divisors: 1 3 5 9 11 13 15 33 39 45 55 65 99 117 143 165 195 429 495 585 715 1287 2145 6435 48533695447 145601086341 242668477235 436803259023 533870649917 630938040811 728005431705 1601611949751 1892814122433 2184016295115 2669353249585 3154690204055 4804835849253 5678442367299 6940318448921 8008059748755 9464070612165 20820955346763 24024179246265 28392211836495 34701592244605 62462866040289 104104776733815 312314330201445