Search a number
-
+
144253010232 = 233222773312041
BaseRepresentation
bin1000011001011000100…
…1100100000100111000
3111210100020111011222200
42012112021210010320
54330412232311412
6150134030350200
713264503233022
oct2062611440470
9453306434880
10144253010232
11561a5077731
1223b5a05b360
13107aba3b2b6
146da6403012
153b442c29dc
hex2196264138

144253010232 has 96 divisors (see below), whose sum is σ = 392974292880. Its totient is φ = 47803230720.

The previous prime is 144253010203. The next prime is 144253010263. The reversal of 144253010232 is 232010352441.

144253010232 is a `hidden beast` number, since 1 + 4 + 425 + 3 + 0 + 1 + 0 + 232 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 144253010196 and 144253010205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11974132 + ... + 11986172.

Almost surely, 2144253010232 is an apocalyptic number.

144253010232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144253010232 is an abundant number, since it is smaller than the sum of its proper divisors (248721282648).

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

144253010232 is a wasteful number, since it uses less digits than its factorization.

144253010232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13013 (or 13006 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 144253010232 its reverse (232010352441), we get a palindrome (376263362673).

The spelling of 144253010232 in words is "one hundred forty-four billion, two hundred fifty-three million, ten thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 227 454 681 733 908 1362 1466 1816 2043 2199 2724 2932 4086 4398 5448 5864 6597 8172 8796 12041 13194 16344 17592 24082 26388 36123 48164 52776 72246 96328 108369 144492 166391 216738 288984 332782 433476 499173 665564 866952 998346 1331128 1497519 1996692 2733307 2995038 3993384 5466614 5990076 8199921 8826053 10933228 11980152 16399842 17652106 21866456 24599763 26478159 32799684 35304212 49199526 52956318 65599368 70608424 79434477 98399052 105912636 158868954 196798104 211825272 317737908 635475816 2003514031 4007028062 6010542093 8014056124 12021084186 16028112248 18031626279 24042168372 36063252558 48084336744 72126505116 144253010232