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34221305460048 = 2437101849123393
BaseRepresentation
bin1111100011111110001001…
…10000010111010101010000
311111011112011121122122200120
413301333010300113111100
513441140213144210143
6200441014541150240
710131256564644240
oct761770460272520
9144145147578616
1034221305460048
11a9a41a086a343
123a08399b5b380
13161309452ba35
1486446a1d5b20
153e5294892383
hex1f1fc4c17550

34221305460048 has 40 divisors (see below), whose sum is σ = 101034330406848. Its totient is φ = 9777515845632.

The previous prime is 34221305460007. The next prime is 34221305460049. The reversal of 34221305460048 is 84006450312243.

It is a super-2 number, since 2×342213054600482 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 34221305459991 and 34221305460009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34221305460049) 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 7 ways as a sum of consecutive naturals, for example, 50924561361 + ... + 50924562032.

Almost surely, 234221305460048 is an apocalyptic number.

It is an amenable number.

34221305460048 is an abundant number, since it is smaller than the sum of its proper divisors (66813024946800).

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

34221305460048 is a wasteful number, since it uses less digits than its factorization.

34221305460048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101849123411 (or 101849123405 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 34221305460048 in words is "thirty-four trillion, two hundred twenty-one billion, three hundred five million, four hundred sixty thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 101849123393 203698246786 305547370179 407396493572 611094740358 712943863751 814792987144 1222189480716 1425887727502 1629585974288 2138831591253 2444378961432 2851775455004 4277663182506 4888757922864 5703550910008 8555326365012 11407101820016 17110652730024 34221305460048