Search a number
-
+
1440357622201 = 17222723112
BaseRepresentation
bin10100111101011100000…
…000010010000110111001
312002200210222222102102001
4110331130000102012321
5142044323022402301
63021405142341001
7206030255532121
oct24753400220671
95080728872361
101440357622201
11505941367173
121b3198a2a761
13a5a95ab0ab4
144d9dc4a9c81
1527701238c01
hex14f5c0121b9

1440357622201 has 27 divisors (see below), whose sum is σ = 1541796053167. Its totient is φ = 1345319023040.

The previous prime is 1440357622129. The next prime is 1440357622211. The reversal of 1440357622201 is 1022267530441.

The square root of 1440357622201 is 1200149.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1121385692025 + 318971930176 = 1058955^2 + 564776^2 .

It is not a de Polignac number, because 1440357622201 - 231 = 1438210138553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1440357622211) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4631374836 + ... + 4631375146.

Almost surely, 21440357622201 is an apocalyptic number.

1440357622201 is the 1200149-th square number.

1440357622201 is the 600075-th centered octagonal number.

It is an amenable number.

1440357622201 is a deficient number, since it is larger than the sum of its proper divisors (101438430966).

1440357622201 is an frugal number, since it uses more digits than its factorization.

1440357622201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 1440357622201 in words is "one trillion, four hundred forty billion, three hundred fifty-seven million, six hundred twenty-two thousand, two hundred one".

Divisors: 1 17 227 289 311 3859 5287 51529 65603 70597 89879 96721 875993 1200149 1644257 14891881 16025519 20402533 21955667 27952369 272433823 373246339 4631374991 4983936409 6345187763 84726918953 1440357622201