Search a number
-
+
14700395380 = 225111721943283
BaseRepresentation
bin11011011000011011…
…00011101101110100
31101221111101110102011
431230031203231310
5220101300123010
610430412254004
71030201204366
oct155415435564
941844343364
1014700395380
116263a986a0
122a23171304
131503759208
149d6514d36
155b0882a8a
hex36c363b74

14700395380 has 288 divisors, whose sum is σ = 38669621760. Its totient is φ = 4639057920.

The previous prime is 14700395341. The next prime is 14700395387. The reversal of 14700395380 is 8359300741.

It is a super-2 number, since 2×147003953802 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14700395387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51944719 + ... + 51945001.

It is an arithmetic number, because the mean of its divisors is an integer number (134269520).

Almost surely, 214700395380 is an apocalyptic number.

14700395380 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 14700395380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19334810880).

14700395380 is an abundant number, since it is smaller than the sum of its proper divisors (23969226380).

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

14700395380 is a wasteful number, since it uses less digits than its factorization.

14700395380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 14700395380 in words is "fourteen billion, seven hundred million, three hundred ninety-five thousand, three hundred eighty".