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1024413144 = 233149286469
BaseRepresentation
bin111101000011110…
…100110111011000
32122101121120122120
4331003310313120
54044222210034
6245352421240
734246240146
oct7503646730
92571546576
101024413144
11486288837
122470a7820
13134307231
149a0a4596
155ee04c49
hex3d0f4dd8

1024413144 has 32 divisors (see below), whose sum is σ = 2578230000. Its totient is φ = 339178112.

The previous prime is 1024413113. The next prime is 1024413193. The reversal of 1024413144 is 4413144201.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 7 ways as a sum of consecutive naturals, for example, 139659 + ... + 146810.

Almost surely, 21024413144 is an apocalyptic number.

It is an amenable number.

1024413144 is an abundant number, since it is smaller than the sum of its proper divisors (1553816856).

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

1024413144 is a wasteful number, since it uses less digits than its factorization.

1024413144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286627 (or 286623 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1024413144 is about 32006.4547240084. The cubic root of 1024413144 is about 1008.0723760705.

Adding to 1024413144 its reverse (4413144201), we get a palindrome (5437557345).

The spelling of 1024413144 in words is "one billion, twenty-four million, four hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 149 298 447 596 894 1192 1788 3576 286469 572938 859407 1145876 1718814 2291752 3437628 6875256 42683881 85367762 128051643 170735524 256103286 341471048 512206572 1024413144