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144144032500 = 22541331173827
BaseRepresentation
bin1000011000111110100…
…1110110001011110100
3111210001122102112122101
42012033221312023310
54330201333020000
6150115134511444
713262011026466
oct2061751661364
9453048375571
10144144032500
1156149604096
1223b29665584
13107922a3330
146d95b56136
153b39947e6a
hex218fa762f4

144144032500 has 240 divisors, whose sum is σ = 352863447552. Its totient is φ = 51145920000.

The previous prime is 144144032471. The next prime is 144144032503. The reversal of 144144032500 is 5230441441.

It is a super-2 number, since 2×1441440325002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144144032503) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 174297087 + ... + 174297913.

Almost surely, 2144144032500 is an apocalyptic number.

144144032500 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 144144032500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176431723776).

144144032500 is an abundant number, since it is smaller than the sum of its proper divisors (208719415052).

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

144144032500 is a wasteful number, since it uses less digits than its factorization.

144144032500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 144144032500 its reverse (5230441441), we get a palindrome (149374473941).

The spelling of 144144032500 in words is "one hundred forty-four billion, one hundred forty-four million, thirty-two thousand, five hundred".