Search a number
-
+
1124240331204 = 223261228972
BaseRepresentation
bin10000010111000001111…
…100100001000111000100
310222110212020112011212100
4100113001330201013010
5121404421011044304
62220245135552100
7144136503100044
oct20270174410704
93873766464770
101124240331204
113a38733a3671
12161a7598b630
1382027b10113
143c5b09c3724
151e39db16439
hex105c1f211c4

1124240331204 has 81 divisors (see below), whose sum is σ = 2890178471271. Its totient is φ = 368476151040.

The previous prime is 1124240331187. The next prime is 1124240331241. The reversal of 1124240331204 is 4021330424211.

The square root of 1124240331204 is 1060302.

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

1124240331204 is a `hidden beast` number, since 1 + 1 + 2 + 424 + 0 + 3 + 31 + 204 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 842228352900 + 282011978304 = 917730^2 + 531048^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 388069084 + ... + 388071980.

Almost surely, 21124240331204 is an apocalyptic number.

1124240331204 is the 1060302-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1124240331204

1124240331204 is an abundant number, since it is smaller than the sum of its proper divisors (1765938140067).

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

1124240331204 is an frugal number, since it uses more digits than its factorization.

1124240331204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5926 (or 2963 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1124240331204 its reverse (4021330424211), we get a palindrome (5145570755415).

The spelling of 1124240331204 in words is "one trillion, one hundred twenty-four billion, two hundred forty million, three hundred thirty-one thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 2897 3721 5794 7442 8691 11163 11588 14884 17382 22326 26073 33489 34764 44652 52146 66978 104292 133956 176717 353434 530151 706868 1060302 1590453 2120604 3180906 6361812 8392609 10779737 16785218 21559474 25177827 32339211 33570436 43118948 50355654 64678422 75533481 97017633 100711308 129356844 151066962 194035266 302133924 388070532 511949149 1023898298 1535847447 2047796596 3071694894 4607542341 6143389788 9215084682 18430169364 31228898089 62457796178 93686694267 124915592356 187373388534 281060082801 374746777068 562120165602 1124240331204