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1020404144 = 24293307709
BaseRepresentation
bin111100110100100…
…010000110110000
32122010001220100002
4330310202012300
54042210413034
6245130445132
734200202124
oct7464420660
92563056302
101020404144
11483a9a811
122458937a8
13133532546
149973d584
155e8b1e7e
hex3cd221b0

1020404144 has 40 divisors (see below), whose sum is σ = 1993049520. Its totient is φ = 506089728.

The previous prime is 1020404113. The next prime is 1020404191. The reversal of 1020404144 is 4414040201.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 1438862 + ... + 1439570.

It is an arithmetic number, because the mean of its divisors is an integer number (49826238).

Almost surely, 21020404144 is an apocalyptic number.

It is an amenable number.

1020404144 is a deficient number, since it is larger than the sum of its proper divisors (972645376).

1020404144 is a wasteful number, since it uses less digits than its factorization.

1020404144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1311 counting only the distinct ones).

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

The square root of 1020404144 is about 31943.7653384819. The cubic root of 1020404144 is about 1006.7556398902.

Adding to 1020404144 its reverse (4414040201), we get a palindrome (5434444345).

The spelling of 1020404144 in words is "one billion, twenty million, four hundred four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 293 307 586 614 709 1172 1228 1418 2344 2456 2836 4688 4912 5672 11344 89951 179902 207737 217663 359804 415474 435326 719608 830948 870652 1439216 1661896 1741304 3323792 3482608 63775259 127550518 255101036 510202072 1020404144