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144122750688 = 25371747733677
BaseRepresentation
bin1000011000111001100…
…0101010011011100000
3111210000011101022111010
42012032120222123200
54330130411010223
6150113054420520
713261332111420
oct2061630523340
9453004338433
10144122750688
1156138598814
1223b22501740
131078aa61647
146d92db6480
153b37b42393
hex218e62a6e0

144122750688 has 384 divisors, whose sum is σ = 474075721728. Its totient is φ = 37401329664.

The previous prime is 144122750591. The next prime is 144122750693. The reversal of 144122750688 is 886057221441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39193906 + ... + 39197582.

It is an arithmetic number, because the mean of its divisors is an integer number (1234572192).

Almost surely, 2144122750688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144122750688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237037860864).

144122750688 is an abundant number, since it is smaller than the sum of its proper divisors (329952971040).

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

144122750688 is a wasteful number, since it uses less digits than its factorization.

144122750688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3834 (or 3826 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 144122750688 in words is "one hundred forty-four billion, one hundred twenty-two million, seven hundred fifty thousand, six hundred eighty-eight".