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3350255630040 = 233251117321292297
BaseRepresentation
bin110000110000001010110…
…010111111011011011000
3102212021121002000211022100
4300300022302333123120
5414342310420130130
611043030341123400
7464022312663324
oct60601262773330
912767532024270
103350255630040
111081920a64720
124613759b9560
131b3c0a3626b7
14b82206ac984
155c233e3ec60
hex30c0acbf6d8

3350255630040 has 384 divisors, whose sum is σ = 11957654030400. Its totient is φ = 806757826560.

The previous prime is 3350255629999. The next prime is 3350255630041. The reversal of 3350255630040 is 400365520533.

3350255630040 is a `hidden beast` number, since 3 + 3 + 50 + 2 + 5 + 563 + 0 + 0 + 40 = 666.

3350255630040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33502556300402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3350255629977 and 3350255630004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3350255630041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1458534172 + ... + 1458536468.

Almost surely, 23350255630040 is an apocalyptic number.

3350255630040 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 3350255630040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5978827015200).

3350255630040 is an abundant number, since it is smaller than the sum of its proper divisors (8607398400360).

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

3350255630040 is a wasteful number, since it uses less digits than its factorization.

3350255630040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4627 (or 4620 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

The spelling of 3350255630040 in words is "three trillion, three hundred fifty billion, two hundred fifty-five million, six hundred thirty thousand, forty".