Search a number
-
+
3350135714112 = 2632116078211061
BaseRepresentation
bin110000110000000011101…
…001100011000101000000
3102212021021201101110120200
4300300003221203011000
5414342034220322422
611043010415005200
7464016325502235
oct60600351430500
912767251343520
103350135714112
11108186a300050
12461341809800
131b3bbb567b25
14b820c7b578c
155c2286542ac
hex30c03a63140

3350135714112 has 336 divisors, whose sum is σ = 10515458962944. Its totient is φ = 1011331584000.

The previous prime is 3350135714111. The next prime is 3350135714153. The reversal of 3350135714112 is 2114175310533.

3350135714112 is a `hidden beast` number, since 3 + 3 + 501 + 3 + 5 + 7 + 141 + 1 + 2 = 666.

It is a super-2 number, since 2×33501357141122 (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (3350135714111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3157526062 + ... + 3157527122.

Almost surely, 23350135714112 is an apocalyptic number.

3350135714112 is a gapful number since it is divisible by the number (32) 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 3350135714112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5257729481472).

3350135714112 is an abundant number, since it is smaller than the sum of its proper divisors (7165323248832).

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

3350135714112 is a wasteful number, since it uses less digits than its factorization.

3350135714112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2518 (or 2505 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 3350135714112 in words is "three trillion, three hundred fifty billion, one hundred thirty-five million, seven hundred fourteen thousand, one hundred twelve".