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1002144144 = 24367730839
BaseRepresentation
bin111011101110111…
…000000110010000
32120211201012022210
4323232320012100
54023022103034
6243235232120
733556041021
oct7356700620
92524635283
101002144144
11474758801
1223b748640
1312c80b101
1497148c48
155cea68e9
hex3bbb8190

1002144144 has 40 divisors (see below), whose sum is σ = 2592780480. Its totient is φ = 333543808.

The previous prime is 1002144139. The next prime is 1002144191. The reversal of 1002144144 is 4414412001.

1002144144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1002144144.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17077 + ... + 47915.

It is an arithmetic number, because the mean of its divisors is an integer number (64819512).

Almost surely, 21002144144 is an apocalyptic number.

It is an amenable number.

1002144144 is an abundant number, since it is smaller than the sum of its proper divisors (1590636336).

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

1002144144 is a wasteful number, since it uses less digits than its factorization.

1002144144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31527 (or 31521 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 1002144144 is about 31656.6603418617. The cubic root of 1002144144 is about 1000.7142044572.

Adding to 1002144144 its reverse (4414412001), we get a palindrome (5416556145).

The spelling of 1002144144 in words is "one billion, two million, one hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 677 1354 2031 2708 4062 5416 8124 10832 16248 30839 32496 61678 92517 123356 185034 246712 370068 493424 740136 1480272 20878003 41756006 62634009 83512012 125268018 167024024 250536036 334048048 501072072 1002144144