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3385271994240 = 2735172343104869
BaseRepresentation
bin110001010000110001111…
…011110100011110000000
3102222121222102111102201010
4301100301323310132000
5420431014112303430
611111101131240520
7466402124113563
oct61206173643600
912877872442633
103385271994240
11109575a872394
124681088a9140
131b72caa95926
14b9bc30384da
155d0d3153cb0
hex31431ef4780

3385271994240 has 512 divisors, whose sum is σ = 12199418035200. Its totient is φ = 793788678144.

The previous prime is 3385271994239. The next prime is 3385271994241. The reversal of 3385271994240 is 424991725833.

It is an interprime number because it is at equal distance from previous prime (3385271994239) and next prime (3385271994241).

It is a super-4 number, since 4×33852719942404 (a number of 51 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3385271994241) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 32228526 + ... + 32333394.

It is an arithmetic number, because the mean of its divisors is an integer number (23826988350).

Almost surely, 23385271994240 is an apocalyptic number.

3385271994240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3385271994240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6099709017600).

3385271994240 is an abundant number, since it is smaller than the sum of its proper divisors (8814146040960).

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

3385271994240 is a wasteful number, since it uses less digits than its factorization.

3385271994240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104974 (or 104962 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 3385271994240 in words is "three trillion, three hundred eighty-five billion, two hundred seventy-one million, nine hundred ninety-four thousand, two hundred forty".