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1010424044 = 227315092287
BaseRepresentation
bin111100001110011…
…101100011101100
32121102021212012202
4330032131203230
54032132032134
6244132521032
734016314460
oct7416354354
92542255182
101010424044
114793a35a3
12242480178
13131449a66
14982a24a0
155da8ed7e
hex3c39d8ec

1010424044 has 48 divisors (see below), whose sum is σ = 2091048960. Its totient is φ = 418063680.

The previous prime is 1010424007. The next prime is 1010424073. The reversal of 1010424044 is 4404240101.

It is a happy 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 15 ways as a sum of consecutive naturals, for example, 440669 + ... + 442955.

It is an arithmetic number, because the mean of its divisors is an integer number (43563520).

Almost surely, 21010424044 is an apocalyptic number.

1010424044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010424044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045524480).

1010424044 is an abundant number, since it is smaller than the sum of its proper divisors (1080624916).

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

1010424044 is a wasteful number, since it uses less digits than its factorization.

1010424044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2838 (or 2836 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1010424044 is about 31787.1679141128. The cubic root of 1010424044 is about 1003.4626773595.

Adding to 1010424044 its reverse (4404240101), we get a palindrome (5414664145).

The spelling of 1010424044 in words is "one billion, ten million, four hundred twenty-four thousand, forty-four".

Divisors: 1 2 4 7 14 28 31 62 124 217 434 509 868 1018 2036 2287 3563 4574 7126 9148 14252 15779 16009 31558 32018 63116 64036 70897 110453 141794 220906 283588 441812 496279 992558 1164083 1985116 2328166 4656332 8148581 16297162 32594324 36086573 72173146 144346292 252606011 505212022 1010424044