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14077704420 = 2236513172257
BaseRepresentation
bin11010001110001100…
…01011100011100100
31100100002200111000000
431013012023203210
5212312343020140
610244530021300
71005600341013
oct150706134344
940302614000
1014077704420
115a7455176a
12288a717830
131434747420
14977942a7a
15575d81a30
hex34718b8e4

14077704420 has 504 divisors, whose sum is σ = 50904428904. Its totient is φ = 3248750592.

The previous prime is 14077704419. The next prime is 14077704427. The reversal of 14077704420 is 2440777041.

14077704420 is a `hidden beast` number, since 140 + 7 + 7 + 70 + 442 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 15539364 + 14062165056 = 3942^2 + 118584^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (14077704427) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 54776932 + ... + 54777188.

It is an arithmetic number, because the mean of its divisors is an integer number (101000851).

Almost surely, 214077704420 is an apocalyptic number.

14077704420 is a gapful number since it is divisible by the number (10) 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 14077704420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25452214452).

14077704420 is an abundant number, since it is smaller than the sum of its proper divisors (36826724484).

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

14077704420 is a wasteful number, since it uses less digits than its factorization.

14077704420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 36.

The spelling of 14077704420 in words is "fourteen billion, seventy-seven million, seven hundred four thousand, four hundred twenty".