Search a number
-
+
144602345651661 = 3347131869846099
BaseRepresentation
bin100000111000001111011011…
…011100100011110111001101
3200221222211221002112202012000
4200320033123130203313031
5122423131100441323121
61231313222302502513
742313113632615622
oct4070173334436715
9627884832482160
10144602345651661
11420905683881a7
1214274aa0b94a39
13628bc341038a1
14279cb10224349
1511ab68b202526
hex8383db723dcd

144602345651661 has 32 divisors (see below), whose sum is σ = 220453795584000. Its totient is φ = 93630233988720.

The previous prime is 144602345651653. The next prime is 144602345651759. The reversal of 144602345651661 is 166156543206441.

144602345651661 is a `hidden beast` number, since 1 + 4 + 4 + 6 + 0 + 2 + 3 + 4 + 565 + 16 + 61 = 666.

It is not a de Polignac number, because 144602345651661 - 23 = 144602345651653 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144602345651598 and 144602345651607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144602345651611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 434756811 + ... + 435089288.

It is an arithmetic number, because the mean of its divisors is an integer number (6889181112000).

Almost surely, 2144602345651661 is an apocalyptic number.

It is an amenable number.

144602345651661 is a deficient number, since it is larger than the sum of its proper divisors (75851449932339).

144602345651661 is a wasteful number, since it uses less digits than its factorization.

144602345651661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869846286 (or 869846280 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 144602345651661 in words is "one hundred forty-four trillion, six hundred two billion, three hundred forty-five million, six hundred fifty-one thousand, six hundred sixty-one".

Divisors: 1 3 9 27 47 131 141 393 423 1179 1269 3537 6157 18471 55413 166239 869846099 2609538297 7828614891 23485844673 40882766653 113949838969 122648299959 341849516907 367944899877 1025548550721 1103834699631 3076645652163 5355642431543 16066927294629 48200781883887 144602345651661