Search a number
-
+
144132603904 = 21614832
BaseRepresentation
bin1000011000111011111…
…0010000000000000000
3111210000211220220120001
42012032332100000000
54330140421311104
6150114045525344
713261511630122
oct2061676200000
9453024826501
10144132603904
1156143108673
1223b25873854
131078cb01453
146d9441d212
153b3893baa4
hex218ef90000

144132603904 has 51 divisors (see below), whose sum is σ = 288457517883. Its totient is φ = 72017707008.

The previous prime is 144132603869. The next prime is 144132603913. The reversal of 144132603904 is 409306231441.

The square root of 144132603904 is 379648.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 97189147 + ... + 97190629.

Almost surely, 2144132603904 is an apocalyptic number.

144132603904 is the 379648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144132603904

144132603904 is an abundant number, since it is smaller than the sum of its proper divisors (144324913979).

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

144132603904 is an frugal number, since it uses more digits than its factorization.

144132603904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2998 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 144132603904 in words is "one hundred forty-four billion, one hundred thirty-two million, six hundred three thousand, nine hundred four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1483 2048 2966 4096 5932 8192 11864 16384 23728 32768 47456 65536 94912 189824 379648 759296 1518592 2199289 3037184 4398578 6074368 8797156 12148736 17594312 24297472 35188624 48594944 70377248 97189888 140754496 281508992 563017984 1126035968 2252071936 4504143872 9008287744 18016575488 36033150976 72066301952 144132603904