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3914035572420 = 22345892305021
BaseRepresentation
bin111000111101001110101…
…100110010111011000100
3111212011210212110022110000
4320331032230302323010
51003111421101304140
612154025542001300
7552531310300611
oct70751654627304
914764725408400
103914035572420
111279a2a0508a6
12532696716230
132251270a133c
14d76243b5508
156bc2e07da30
hex38f4eb32ec4

3914035572420 has 180 divisors, whose sum is σ = 12418025771844. Its totient is φ = 1032011988480.

The previous prime is 3914035572379. The next prime is 3914035572457. The reversal of 3914035572420 is 242755304193.

It is a happy number.

3914035572420 is a `hidden beast` number, since 3 + 9 + 1 + 4 + 0 + 35 + 572 + 42 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1951251384384 + 1962784188036 = 1396872^2 + 1400994^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12679510 + ... + 12984530.

Almost surely, 23914035572420 is an apocalyptic number.

3914035572420 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 3914035572420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6209012885922).

3914035572420 is an abundant number, since it is smaller than the sum of its proper divisors (8503990199424).

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

3914035572420 is a wasteful number, since it uses less digits than its factorization.

3914035572420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305220 (or 305120 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 3914035572420 in words is "three trillion, nine hundred fourteen billion, thirty-five million, five hundred seventy-two thousand, four hundred twenty".