Search a number
-
+
1461816411136 = 210377832
BaseRepresentation
bin10101010001011011000…
…011000100010000000000
312011202012111110211212121
4111101123003010100000
5142422300000124021
63035314342534024
7210420113323024
oct25213303042000
95152174424777
101461816411136
11513a53288984
121b7387437314
13a7b0577bb43
1450a76408384
152805a0ad741
hex1545b0c4400

1461816411136 has 33 divisors (see below), whose sum is σ = 2922282611031. Its totient is φ = 730888860672.

The previous prime is 1461816411109. The next prime is 1461816411173. The reversal of 1461816411136 is 6311146181641.

It is a happy number.

The square root of 1461816411136 is 1209056.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1461816411092 and 1461816411101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 38670901 + ... + 38708683.

Almost surely, 21461816411136 is an apocalyptic number.

1461816411136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1461816411136 is the 1209056-th square number.

It is an amenable number.

1461816411136 is a deficient number, since it is larger than the sum of its proper divisors (1460466199895).

1461816411136 is an frugal number, since it uses more digits than its factorization.

1461816411136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75586 (or 37785 counting only the distinct ones).

The product of its digits is 82944, while the sum is 43.

The spelling of 1461816411136 in words is "one trillion, four hundred sixty-one billion, eight hundred sixteen million, four hundred eleven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 37783 75566 151132 302264 604528 1209056 2418112 4836224 9672448 19344896 38689792 1427555089 2855110178 5710220356 11420440712 22840881424 45681762848 91363525696 182727051392 365454102784 730908205568 1461816411136