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1144027368 = 2333111134261
BaseRepresentation
bin100010000110000…
…0111100011101000
32221201200121112000
41010030013203220
54320332333433
6305304251000
740231033521
oct10414074350
92851617460
101144027368
11537856770
1227b170a60
13153027693
14abd1d848
156a681113
hex443078e8

1144027368 has 128 divisors (see below), whose sum is σ = 3498249600. Its totient is φ = 343526400.

The previous prime is 1144027301. The next prime is 1144027369. The reversal of 1144027368 is 8637204411.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1144027369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266358 + ... + 270618.

It is an arithmetic number, because the mean of its divisors is an integer number (27330075).

Almost surely, 21144027368 is an apocalyptic number.

1144027368 is a gapful number since it is divisible by the number (18) 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 1144027368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749124800).

1144027368 is an abundant number, since it is smaller than the sum of its proper divisors (2354222232).

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

1144027368 is a wasteful number, since it uses less digits than its factorization.

1144027368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4400 (or 4390 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1144027368 is about 33823.4736240972. The cubic root of 1144027368 is about 1045.8726463821.

The spelling of 1144027368 in words is "one billion, one hundred forty-four million, twenty-seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 113 132 198 216 226 264 297 339 396 452 594 678 792 904 1017 1188 1243 1356 2034 2376 2486 2712 3051 3729 4068 4261 4972 6102 7458 8136 8522 9944 11187 12204 12783 14916 17044 22374 24408 25566 29832 33561 34088 38349 44748 46871 51132 67122 76698 89496 93742 102264 115047 134244 140613 153396 187484 230094 268488 281226 306792 374968 421839 460188 481493 562452 843678 920376 962986 1124904 1265517 1444479 1687356 1925972 2531034 2888958 3374712 3851944 4333437 5062068 5296423 5777916 8666874 10124136 10592846 11555832 13000311 15889269 17333748 21185692 26000622 31778538 34667496 42371384 47667807 52001244 63557076 95335614 104002488 127114152 143003421 190671228 286006842 381342456 572013684 1144027368