Search a number
-
+
144040004202321 = 3219387794554829
BaseRepresentation
bin100000110000000011101101…
…010010001010111101010001
3200220000002102112220021112100
4200300003231102022331101
5122334422412033433241
61230203021525551013
742224355403304523
oct4060035522127521
9626002375807470
10144040004202321
1141994028291147
12141a3b01b75469
13624abb6400366
14277d8055ada13
15119bc2750d9b6
hex8300ed48af51

144040004202321 has 24 divisors (see below), whose sum is σ = 209374272946280. Its totient is φ = 95420193785856.

The previous prime is 144040004202247. The next prime is 144040004202359. The reversal of 144040004202321 is 123202400040441.

144040004202321 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 4 + 0 + 0 + 0 + 420 + 232 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5880314604096 + 138159689598225 = 2424936^2 + 11754135^2 .

It is not a de Polignac number, because 144040004202321 - 213 = 144040004194129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144040004202371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45754066 + ... + 48800763.

Almost surely, 2144040004202321 is an apocalyptic number.

It is an amenable number.

144040004202321 is a deficient number, since it is larger than the sum of its proper divisors (65334268743959).

144040004202321 is a wasteful number, since it uses less digits than its factorization.

144040004202321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94555905 (or 94555902 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 144040004202321 its reverse (123202400040441), we get a palindrome (267242404242762).

The spelling of 144040004202321 in words is "one hundred forty-four trillion, forty billion, four million, two hundred two thousand, three hundred twenty-one".

Divisors: 1 3 9 193 579 877 1737 2631 7893 169261 507783 1523349 94554829 283664487 850993461 18249081997 54747245991 82924585033 164241737973 248773755099 746321265297 16004444911369 48013334734107 144040004202321