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3425140760080 = 24513171953192383
BaseRepresentation
bin110001110101111010010…
…011000101111000010000
3110010102212221121120210011
4301311322103011320100
5422104142013310310
611141253221244304
7502313116043524
oct61657223057020
913112787546704
103425140760080
111100659736246
12473994863694
131bacb28b9a30
14bbac6003d84
155e16836678a
hex31d7a4c5e10

3425140760080 has 320 divisors, whose sum is σ = 9738816675840. Its totient is φ = 1106347327488.

The previous prime is 3425140760077. The next prime is 3425140760089. The reversal of 3425140760080 is 800670415243.

It is a super-3 number, since 3×34251407600803 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (3425140760089) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17707569 + ... + 17899951.

It is an arithmetic number, because the mean of its divisors is an integer number (30433802112).

Almost surely, 23425140760080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3425140760080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4869408337920).

3425140760080 is an abundant number, since it is smaller than the sum of its proper divisors (6313675915760).

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

3425140760080 is a wasteful number, since it uses less digits than its factorization.

3425140760080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192498 (or 192492 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 3425140760080 in words is "three trillion, four hundred twenty-five billion, one hundred forty million, seven hundred sixty thousand, eighty".