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1144133160 = 2335232571613
BaseRepresentation
bin100010000110010…
…0001011000101000
32221201212222122020
41010030201120220
54320344230120
6305310424440
740231654122
oct10414413050
92851788566
101144133160
115379191a5
1227b202120
13153063891
14abd4a212
156a6a2640
hex44321628

1144133160 has 128 divisors (see below), whose sum is σ = 3597799680. Its totient is φ = 290521088.

The previous prime is 1144133153. The next prime is 1144133189. The reversal of 1144133160 is 613314411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1144133160.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 708514 + ... + 710126.

It is an arithmetic number, because the mean of its divisors is an integer number (28107810).

Almost surely, 21144133160 is an apocalyptic number.

1144133160 is a gapful number since it is divisible by the number (10) 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 1144133160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798899840).

1144133160 is an abundant number, since it is smaller than the sum of its proper divisors (2453666520).

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

1144133160 is a wasteful number, since it uses less digits than its factorization.

1144133160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1907 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1144133160 is about 33825.0374722631. The cubic root of 1144133160 is about 1045.9048838244.

Adding to 1144133160 its reverse (613314411), we get a palindrome (1757447571).

The spelling of 1144133160 in words is "one billion, one hundred forty-four million, one hundred thirty-three thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 257 276 345 460 514 552 690 771 920 1028 1285 1380 1542 1613 2056 2570 2760 3084 3226 3855 4839 5140 5911 6168 6452 7710 8065 9678 10280 11822 12904 15420 16130 17733 19356 23644 24195 29555 30840 32260 35466 37099 38712 47288 48390 59110 64520 70932 74198 88665 96780 111297 118220 141864 148396 177330 185495 193560 222594 236440 296792 354660 370990 414541 445188 556485 709320 741980 829082 890376 1112970 1243623 1483960 1658164 2072705 2225940 2487246 3316328 4145410 4451880 4974492 6218115 8290820 9534443 9948984 12436230 16581640 19068886 24872460 28603329 38137772 47672215 49744920 57206658 76275544 95344430 114413316 143016645 190688860 228826632 286033290 381377720 572066580 1144133160