Search a number
-
+
144402080 = 2551753089
BaseRepresentation
bin10001001101101…
…10011010100000
3101001201101102012
420212312122200
5243431331310
622155012052
73402253214
oct1046663240
9331641365
10144402080
1174569469
124043a028
1323bbbc24
141526c944
15ca25c05
hex89b66a0

144402080 has 48 divisors (see below), whose sum is σ = 361224360. Its totient is φ = 54362112.

The previous prime is 144402077. The next prime is 144402091. The reversal of 144402080 is 80204441.

It can be written as a sum of positive squares in 4 ways, for example, as 101525776 + 42876304 = 10076^2 + 6548^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23825 + ... + 29264.

Almost surely, 2144402080 is an apocalyptic number.

144402080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144402080 is an abundant number, since it is smaller than the sum of its proper divisors (216822280).

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

144402080 is a wasteful number, since it uses less digits than its factorization.

144402080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53121 (or 53113 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 144402080 is about 12016.7416548747. The cubic root of 144402080 is about 524.6356716438.

The spelling of 144402080 in words is "one hundred forty-four million, four hundred two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 53089 106178 212356 265445 424712 530890 849424 902513 1061780 1698848 1805026 2123560 3610052 4247120 4512565 7220104 8494240 9025130 14440208 18050260 28880416 36100520 72201040 144402080