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1140114384 = 2432174310831
BaseRepresentation
bin100001111110100…
…1100001111010000
32221110022210220200
41003331030033100
54313332130014
6305044335200
740152545433
oct10375141720
92843283820
101140114384
115356238a2
122799a4500
131522875c6
14ab5c181a
156a15ba09
hex43f4c3d0

1140114384 has 120 divisors (see below), whose sum is σ = 3457314432. Its totient is φ = 349332480.

The previous prime is 1140114383. The next prime is 1140114389. The reversal of 1140114384 is 4834110411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140114383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99849 + ... + 110679.

Almost surely, 21140114384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1140114384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728657216).

1140114384 is an abundant number, since it is smaller than the sum of its proper divisors (2317200048).

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

1140114384 is a wasteful number, since it uses less digits than its factorization.

1140114384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10905 (or 10896 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1140114384 is about 33765.5798706316. The cubic root of 1140114384 is about 1044.6788644114.

Adding to 1140114384 its reverse (4834110411), we get a palindrome (5974224795).

The spelling of 1140114384 in words is "one billion, one hundred forty million, one hundred fourteen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 43 48 51 68 72 86 102 129 136 144 153 172 204 258 272 306 344 387 408 516 612 688 731 774 816 1032 1224 1462 1548 2064 2193 2448 2924 3096 4386 5848 6192 6579 8772 10831 11696 13158 17544 21662 26316 32493 35088 43324 52632 64986 86648 97479 105264 129972 173296 184127 194958 259944 368254 389916 465733 519888 552381 736508 779832 931466 1104762 1397199 1473016 1559664 1657143 1862932 2209524 2794398 2946032 3314286 3725864 4191597 4419048 5588796 6628572 7451728 7917461 8383194 8838096 11177592 13257144 15834922 16766388 22355184 23752383 26514288 31669844 33532776 47504766 63339688 67065552 71257149 95009532 126679376 142514298 190019064 285028596 380038128 570057192 1140114384