Search a number
-
+
1130674942224 = 2434295372
BaseRepresentation
bin10000011101000001011…
…110100111000100010000
311000002110200101021210000
4100131001132213010100
5122011110241122344
62223231440010000
7144455115301662
oct20350136470420
94002420337700
101130674942224
113a657558a113
12163170900900
1382811c48169
143ca21406532
151e62899ca69
hex107417a7110

1130674942224 has 75 divisors (see below), whose sum is σ = 3272612115157. Its totient is φ = 376878887424.

The previous prime is 1130674942217. The next prime is 1130674942249. The reversal of 1130674942224 is 4222494760311.

The square root of 1130674942224 is 1063332.

It is a perfect power (a square), and thus also a powerful number.

1130674942224 is a `hidden beast` number, since 1 + 130 + 6 + 7 + 494 + 2 + 2 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1913187600 + 1128761754624 = 43740^2 + 1062432^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1130674942224.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 38265184 + ... + 38294720.

Almost surely, 21130674942224 is an apocalyptic number.

1130674942224 is the 1063332-nd square number.

It is an amenable number.

1130674942224 is an abundant number, since it is smaller than the sum of its proper divisors (2141937172933).

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

1130674942224 is an frugal number, since it uses more digits than its factorization.

1130674942224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59094 (or 29542 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 1130674942224 in words is "one trillion, one hundred thirty billion, six hundred seventy-four million, nine hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 29537 59074 88611 118148 177222 236296 265833 354444 472592 531666 708888 797499 1063332 1417776 1594998 2126664 2392497 3189996 4253328 4784994 6379992 9569988 12759984 19139976 38279952 872434369 1744868738 2617303107 3489737476 5234606214 6979474952 7851909321 10469212428 13958949904 15703818642 20938424856 23555727963 31407637284 41876849712 47111455926 62815274568 70667183889 94222911852 125630549136 141334367778 188445823704 282668735556 376891647408 565337471112 1130674942224