Search a number
-
+
1134123144 = 2337111135431
BaseRepresentation
bin100001110011001…
…0101100010001000
32221001001102110220
41003212111202020
54310313420034
6304312110040
740050613320
oct10346254210
92831042426
101134123144
11532201560
12277995320
13150c6a5ab
14aa8a2280
1569876749
hex43995888

1134123144 has 128 divisors (see below), whose sum is σ = 3566868480. Its totient is φ = 291916800.

The previous prime is 1134123143. The next prime is 1134123161. The reversal of 1134123144 is 4413214311.

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

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

It is not an unprimeable number, because it can be changed into a prime (1134123143) 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, 206109 + ... + 211539.

It is an arithmetic number, because the mean of its divisors is an integer number (27866160).

Almost surely, 21134123144 is an apocalyptic number.

1134123144 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 1134123144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783434240).

1134123144 is an abundant number, since it is smaller than the sum of its proper divisors (2432745336).

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

1134123144 is a wasteful number, since it uses less digits than its factorization.

1134123144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5571 (or 5567 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 1134123144 is about 33676.7448545729. The cubic root of 1134123144 is about 1042.8457391742.

Adding to 1134123144 its reverse (4413214311), we get a palindrome (5547337455).

The spelling of 1134123144 in words is "one billion, one hundred thirty-four million, one hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 113 132 154 168 226 231 264 308 339 452 462 616 678 791 904 924 1243 1356 1582 1848 2373 2486 2712 3164 3729 4746 4972 5431 6328 7458 8701 9492 9944 10862 14916 16293 17402 18984 21724 26103 29832 32586 34804 38017 43448 52206 59741 65172 69608 76034 104412 114051 119482 130344 152068 179223 208824 228102 238964 304136 358446 418187 456204 477928 613703 716892 836374 912408 1227406 1254561 1433784 1672748 1841109 2454812 2509122 3345496 3682218 4295921 4909624 5018244 6750733 7364436 8591842 10036488 12887763 13501466 14728872 17183684 20252199 25775526 27002932 34367368 40504398 47255131 51551052 54005864 81008796 94510262 103102104 141765393 162017592 189020524 283530786 378041048 567061572 1134123144