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1431073715344 = 247132368941491
BaseRepresentation
bin10100110100110010101…
…000111111010010010000
312001210211222200002101221
4110310302220333102100
5141421314332342334
63013232020134424
7205251224606230
oct24646250772220
95053758602357
101431073715344
11501a07893579
121b1427837414
13a4c46578aa0
144d39b4adcc0
152735b17b8b4
hex14d32a3f490

1431073715344 has 80 divisors (see below), whose sum is σ = 3412786706560. Its totient is φ = 566101509120.

The previous prime is 1431073715339. The next prime is 1431073715363. The reversal of 1431073715344 is 4435173701341.

It is a self number, because there is not a number n which added to its sum of digits gives 1431073715344.

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 15 ways as a sum of consecutive naturals, for example, 34470439 + ... + 34511929.

It is an arithmetic number, because the mean of its divisors is an integer number (42659833832).

Almost surely, 21431073715344 is an apocalyptic number.

1431073715344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1431073715344 is an abundant number, since it is smaller than the sum of its proper divisors (1981712991216).

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

1431073715344 is a wasteful number, since it uses less digits than its factorization.

1431073715344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65208 (or 65202 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 43.

The spelling of 1431073715344 in words is "one trillion, four hundred thirty-one billion, seventy-three million, seven hundred fifteen thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1456 23689 41491 47378 82982 94756 165823 165964 189512 290437 307957 331646 331928 379024 539383 580874 615914 663292 663856 1078766 1161748 1231828 1326584 2155699 2157532 2323496 2463656 2653168 3775681 4311398 4315064 4646992 4927312 7551362 8622796 8630128 15102724 17245592 30205448 34491184 60410896 982880299 1965760598 3931521196 6880162093 7863042392 12777443887 13760324186 15726084784 25554887774 27520648372 51109775548 55041296744 89442107209 102219551096 110082593488 178884214418 204439102192 357768428836 715536857672 1431073715344