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1144113024 = 27316011861
BaseRepresentation
bin100010000110001…
…1100011110000000
32221201211222000110
41010030130132000
54320343104044
6305310151320
740231541325
oct10414343600
92851758013
101144113024
1153790505a
1227b1b2540
13153057672
14abd42b4c
156a69b6b9
hex4431c780

1144113024 has 64 divisors (see below), whose sum is σ = 3042582480. Its totient is φ = 380928000.

The previous prime is 1144113007. The next prime is 1144113029. The reversal of 1144113024 is 4203114411.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×11441130242 = 2617989223372849152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144113029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 613854 + ... + 615714.

Almost surely, 21144113024 is an apocalyptic number.

It is an amenable number.

1144113024 is an abundant number, since it is smaller than the sum of its proper divisors (1898469456).

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

1144113024 is a wasteful number, since it uses less digits than its factorization.

1144113024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3479 (or 3467 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1144113024 is about 33824.7398216158. The cubic root of 1144113024 is about 1045.8987480396.

Adding to 1144113024 its reverse (4203114411), we get a palindrome (5347227435).

The spelling of 1144113024 in words is "one billion, one hundred forty-four million, one hundred thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1601 1861 3202 3722 4803 5583 6404 7444 9606 11166 12808 14888 19212 22332 25616 29776 38424 44664 51232 59552 76848 89328 102464 119104 153696 178656 204928 238208 307392 357312 614784 714624 2979461 5958922 8938383 11917844 17876766 23835688 35753532 47671376 71507064 95342752 143014128 190685504 286028256 381371008 572056512 1144113024