Search a number
-
+
1024440412032 = 2732889271191
BaseRepresentation
bin11101110100001010110…
…10000010011110000000
310121221021000100222220200
432322011122002132000
5113241023221141112
62102342121205200
7134004405553422
oct16720532023600
93557230328820
101024440412032
1136550a9a6224
12146663030800
13757b18b56cb
1437824366812
151b9ac24ecdc
hexee85682780

1024440412032 has 48 divisors (see below), whose sum is σ = 2947934001480. Its totient is φ = 341480136960.

The previous prime is 1024440412013. The next prime is 1024440412069. The reversal of 1024440412032 is 2302140444201.

1024440412032 is a `hidden beast` number, since 1 + 0 + 244 + 4 + 0 + 412 + 0 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 1024440411987 and 1024440412005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 444634444 + ... + 444636747.

Almost surely, 21024440412032 is an apocalyptic number.

1024440412032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1024440412032 is an abundant number, since it is smaller than the sum of its proper divisors (1923493589448).

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

1024440412032 is an equidigital number, since it uses as much as digits as its factorization.

1024440412032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889271211 (or 889271196 counting only the distinct ones).

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

Adding to 1024440412032 its reverse (2302140444201), we get a palindrome (3326580856233).

The spelling of 1024440412032 in words is "one trillion, twenty-four billion, four hundred forty million, four hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 889271191 1778542382 2667813573 3557084764 5335627146 7114169528 8003440719 10671254292 14228339056 16006881438 21342508584 28456678112 32013762876 42685017168 56913356224 64027525752 85370034336 113826712448 128055051504 170740068672 256110103008 341480137344 512220206016 1024440412032