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413250034000314 = 23731145916891217
BaseRepresentation
bin101110111110110010100010…
…1011110101110000110111010
32000012012022120101211220012110
41131331211011132232012322
5413131142032201002224
64022524240023553150
7153021221040433050
oct13575450536560672
92005168511756173
10413250034000314
1110a74639a872575
123a4227602bb7b6
131497840733aa84
1474095a07b21d0
1532b98ad598929
hex177d9457ae1ba

413250034000314 has 64 divisors (see below), whose sum is σ = 947815256973312. Its totient is φ = 117666134956800.

The previous prime is 413250034000229. The next prime is 413250034000351. The reversal of 413250034000314 is 413000430052314.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56522034 + ... + 63413250.

It is an arithmetic number, because the mean of its divisors is an integer number (14809613390208).

Almost surely, 2413250034000314 is an apocalyptic number.

413250034000314 is an abundant number, since it is smaller than the sum of its proper divisors (534565222972998).

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

413250034000314 is a wasteful number, since it uses less digits than its factorization.

413250034000314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6896131.

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 413250034000314 its reverse (413000430052314), we get a palindrome (826250464052628).

The spelling of 413250034000314 in words is "four hundred thirteen trillion, two hundred fifty billion, thirty-four million, three hundred fourteen", and thus it is an aban number.

Divisors: 1 2 3 6 7 14 21 42 311 622 933 1866 2177 4354 4591 6531 9182 13062 13773 27546 32137 64274 96411 192822 1427801 2855602 4283403 6891217 8566806 9994607 13782434 19989214 20673651 29983821 41347302 48238519 59967642 96477038 144715557 289431114 2143168487 4286336974 6429505461 12859010922 15002179409 30004358818 31637577247 45006538227 63275154494 90013076454 94912731741 189825463482 221463040729 442926081458 664389122187 1328778244374 9839286523817 19678573047634 29517859571451 59035719142902 68875005666719 137750011333438 206625017000157 413250034000314