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330435644142253 = 131911201602918379
BaseRepresentation
bin100101100100001111000101…
…1001100001011001010101101
31121022222100011011221202022211
41023020132023030023022231
5321302324144400023003
63130440012253210421
7126413121205242346
oct11310361314131255
91538870134852284
10330435644142253
1196317a73751581
1231088784790a11
131124bc41988a20
145b85255c490cd
1528305c93ed96d
hex12c878b30b2ad

330435644142253 has 32 divisors (see below), whose sum is σ = 358093593446400. Its totient is φ = 303101149824000.

The previous prime is 330435644142223. The next prime is 330435644142293. The reversal of 330435644142253 is 352241446534033.

It is a cyclic number.

It is not a de Polignac number, because 330435644142253 - 225 = 330435610587821 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 330435644142197 and 330435644142206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330435644142223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17978969218 + ... + 17978987596.

It is an arithmetic number, because the mean of its divisors is an integer number (11190424795200).

Almost surely, 2330435644142253 is an apocalyptic number.

It is an amenable number.

330435644142253 is a deficient number, since it is larger than the sum of its proper divisors (27657949304147).

330435644142253 is a wasteful number, since it uses less digits than its factorization.

330435644142253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25813.

The product of its (nonzero) digits is 12441600, while the sum is 49.

The spelling of 330435644142253 in words is "three hundred thirty trillion, four hundred thirty-five billion, six hundred forty-four million, one hundred forty-two thousand, two hundred fifty-three".

Divisors: 1 13 191 1201 2483 6029 15613 18379 78377 229391 238927 1151539 2982083 3510389 7240829 14970007 22073179 45635057 94130777 110806991 286951327 1382998339 1440490883 4215977189 17978978407 21164135281 54807703457 133079196191 275133758653 1730029550483 25418126472481 330435644142253