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15144402000 = 2435371327737
BaseRepresentation
bin11100001101010110…
…10011110001010000
31110002102212022222210
432012223103301100
5222003431331000
610542433032120
71044202202340
oct160653236120
943072768883
1015144402000
116471690412
122b279b5640
131574737c20
14a39492d20
155d983a350
hex386ad3c50

15144402000 has 320 divisors, whose sum is σ = 60095153664. Its totient is φ = 3195187200.

The previous prime is 15144401981. The next prime is 15144402001. The reversal of 15144402000 is 20444151.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15144402001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 532132 + ... + 559868.

Almost surely, 215144402000 is an apocalyptic number.

15144402000 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 15144402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30047576832).

15144402000 is an abundant number, since it is smaller than the sum of its proper divisors (44950751664).

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

15144402000 is a wasteful number, since it uses less digits than its factorization.

15144402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27783 (or 27767 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 15144402000 its reverse (20444151), we get a palindrome (15164846151).

The spelling of 15144402000 in words is "fifteen billion, one hundred forty-four million, four hundred two thousand".