Search a number
-
+
144593238192 = 24313421754949
BaseRepresentation
bin1000011010101001101…
…1011011100010110000
3111211012221200120000020
42012222123123202300
54332111332110232
6150231502523440
713306104150204
oct2065233334260
9454187616006
10144593238192
115635a127a67
1224033b96580
1310834382610
146dd9688b04
153b640cae2c
hex21aa6db8b0

144593238192 has 80 divisors (see below), whose sum is σ = 402368517600. Its totient is φ = 44478867456.

The previous prime is 144593238173. The next prime is 144593238233. The reversal of 144593238192 is 291832395441.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2603934 + ... + 2658882.

It is an arithmetic number, because the mean of its divisors is an integer number (5029606470).

Almost surely, 2144593238192 is an apocalyptic number.

144593238192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144593238192 is an abundant number, since it is smaller than the sum of its proper divisors (257775279408).

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

144593238192 is a wasteful number, since it uses less digits than its factorization.

144593238192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59190 (or 59184 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 51.

The spelling of 144593238192 in words is "one hundred forty-four billion, five hundred ninety-three million, two hundred thirty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 4217 8434 12651 16868 25302 33736 50604 54821 54949 67472 101208 109642 109898 164463 164847 202416 219284 219796 328926 329694 438568 439592 657852 659388 714337 877136 879184 1315704 1318776 1428674 2143011 2631408 2637552 2857348 4286022 5714696 8572044 11429392 17144088 34288176 231719933 463439866 695159799 926879732 1390319598 1853759464 2780639196 3012359129 3707518928 5561278392 6024718258 9037077387 11122556784 12049436516 18074154774 24098873032 36148309548 48197746064 72296619096 144593238192