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144100704 = 253111723349
BaseRepresentation
bin10001001011011…
…00110101100000
3101001011002000010
420211230311200
5243342210304
622144324520
73366556446
oct1045546540
9331132003
10144100704
1174382aa0
1240313740
1323b149b7
14151d0b96
15c9b6789
hex896cd60

144100704 has 192 divisors, whose sum is σ = 457228800. Its totient is φ = 39198720.

The previous prime is 144100703. The next prime is 144100711. The reversal of 144100704 is 407001441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144100703) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 412722 + ... + 413070.

It is an arithmetic number, because the mean of its divisors is an integer number (2381400).

Almost surely, 2144100704 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 144100704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228614400).

144100704 is an abundant number, since it is smaller than the sum of its proper divisors (313128096).

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

144100704 is a wasteful number, since it uses less digits than its factorization.

144100704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 144100704 is about 12004.1952666557. The cubic root of 144100704 is about 524.2704351579.

The spelling of 144100704 in words is "one hundred forty-four million, one hundred thousand, seven hundred four".