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1140943104 = 2833723581
BaseRepresentation
bin100010000000001…
…0110100100000000
32221111212220201000
41010000112210000
54314040134404
6305114212000
740162566510
oct10400264400
92844786630
101140943104
1153603a494
1227a124000
131524b7882
14ab759840
156a272339
hex44016900

1140943104 has 144 divisors (see below), whose sum is σ = 3856128640. Its totient is φ = 325969920.

The previous prime is 1140943073. The next prime is 1140943109. The reversal of 1140943104 is 4013490411.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1140943109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36594 + ... + 60174.

Almost surely, 21140943104 is an apocalyptic number.

1140943104 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 1140943104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1928064320).

1140943104 is an abundant number, since it is smaller than the sum of its proper divisors (2715185536).

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

1140943104 is an equidigital number, since it uses as much as digits as its factorization.

1140943104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23613 (or 23593 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1140943104 is about 33777.8493098658. The cubic root of 1140943104 is about 1044.9319198950.

The spelling of 1140943104 in words is "one billion, one hundred forty million, nine hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 5376 6048 6912 8064 12096 16128 23581 24192 47162 48384 70743 94324 141486 165067 188648 212229 282972 330134 377296 424458 495201 565944 636687 660268 754592 848916 990402 1131888 1273374 1320536 1485603 1509184 1697832 1980804 2263776 2546748 2641072 2971206 3018368 3395664 3961608 4456809 4527552 5093496 5282144 5942412 6036736 6791328 7923216 8913618 9055104 10186992 10564288 11884824 13582656 15846432 17827236 18110208 20373984 21128576 23769648 27165312 31692864 35654472 40747968 42257152 47539296 54330624 63385728 71308944 81495936 95078592 126771456 142617888 162991872 190157184 285235776 380314368 570471552 1140943104