Search a number
-
+
1439370144 = 253217293989
BaseRepresentation
bin101010111001011…
…0000101110100000
310201022102120122100
41111302300232200
510421434321034
6354454410400
750445305262
oct12562605640
93638376570
101439370144
1167953a103
12342060a00
1319c284714
14d923db32
1586570099
hex55cb0ba0

1439370144 has 72 divisors (see below), whose sum is σ = 4334000580. Its totient is φ = 451565568.

The previous prime is 1439370143. The next prime is 1439370151. The reversal of 1439370144 is 4410739341.

1439370144 is a `hidden beast` number, since 143 + 9 + 370 + 144 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1092963600 + 346406544 = 33060^2 + 18612^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×14393701442 = 4143572822877161472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1439370099 and 1439370108.

It is not an unprimeable number, because it can be changed into a prime (1439370143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142099 + ... + 151890.

Almost surely, 21439370144 is an apocalyptic number.

It is an amenable number.

1439370144 is an abundant number, since it is smaller than the sum of its proper divisors (2894630436).

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

1439370144 is a wasteful number, since it uses less digits than its factorization.

1439370144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294022 (or 294011 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1439370144 is about 37939.0319328261. The cubic root of 1439370144 is about 1129.0785669827.

The spelling of 1439370144 in words is "one billion, four hundred thirty-nine million, three hundred seventy thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 293989 587978 881967 1175956 1763934 2351912 2645901 3527868 4703824 4997813 5291802 7055736 9407648 9995626 10583604 14111472 14993439 19991252 21167208 28222944 29986878 39982504 42334416 44980317 59973756 79965008 84668832 89960634 119947512 159930016 179921268 239895024 359842536 479790048 719685072 1439370144