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1138618944 = 2634239919
BaseRepresentation
bin100001111011101…
…1111001001000000
32221100111211120000
41003313133021000
54312441301234
6304552320000
740134046521
oct10367371100
92840454500
101138618944
115347a22a1
122793a3000
13151b82a28
14ab312848
1569e63899
hex43ddf240

1138618944 has 140 divisors (see below), whose sum is σ = 3393033600. Its totient is φ = 377540352.

The previous prime is 1138618939. The next prime is 1138618961. The reversal of 1138618944 is 4498168311.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1138618944.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1238517 + ... + 1239435.

Almost surely, 21138618944 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 1138618944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696516800).

1138618944 is an abundant number, since it is smaller than the sum of its proper divisors (2254414656).

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

1138618944 is an equidigital number, since it uses as much as digits as its factorization.

1138618944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1163 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 1138618944 is about 33743.4281601618. The cubic root of 1138618944 is about 1044.2219108142.

The spelling of 1138618944 in words is "one billion, one hundred thirty-eight million, six hundred eighteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 239 288 324 432 478 576 648 717 864 919 956 1296 1434 1728 1838 1912 2151 2592 2757 2868 3676 3824 4302 5184 5514 5736 6453 7352 7648 8271 8604 11028 11472 12906 14704 15296 16542 17208 19359 22056 22944 24813 25812 29408 33084 34416 38718 44112 45888 49626 51624 58816 66168 68832 74439 77436 88224 99252 103248 132336 137664 148878 154872 176448 198504 206496 219641 264672 297756 309744 397008 412992 439282 529344 595512 619488 658923 794016 878564 1191024 1238976 1317846 1588032 1757128 1976769 2382048 2635692 3514256 3953538 4764096 5271384 5930307 7028512 7907076 10542768 11860614 14057024 15814152 17790921 21085536 23721228 31628304 35581842 42171072 47442456 63256608 71163684 94884912 126513216 142327368 189769824 284654736 379539648 569309472 1138618944