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3350364341940 = 223657113780657
BaseRepresentation
bin110000110000010001010…
…001101100011010110100
3102212021212122120222000000
4300300101101230122310
5414343021232420230
611043045223151300
7464025103011540
oct60602121543264
912767778528000
103350364341940
111081977366570
124613a62a5530
131b3c26a36675
14b8230ccaa20
155c23d765b60
hex30c1146c6b4

3350364341940 has 672 divisors, whose sum is σ = 13507399067904. Its totient is φ = 677355540480.

The previous prime is 3350364341939. The next prime is 3350364341957. The reversal of 3350364341940 is 491434630533.

3350364341940 is a `hidden beast` number, since 3 + 3 + 503 + 64 + 3 + 41 + 9 + 40 = 666.

It is a super-2 number, since 2×33503643419402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 41498092 + ... + 41578748.

It is an arithmetic number, because the mean of its divisors is an integer number (20100296232).

Almost surely, 23350364341940 is an apocalyptic number.

3350364341940 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 3350364341940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6753699533952).

3350364341940 is an abundant number, since it is smaller than the sum of its proper divisors (10157034725964).

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

3350364341940 is a wasteful number, since it uses less digits than its factorization.

3350364341940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80739 (or 80722 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 3350364341940 in words is "three trillion, three hundred fifty billion, three hundred sixty-four million, three hundred forty-one thousand, nine hundred forty".