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1330236144 = 243241233967
BaseRepresentation
bin100111101001001…
…1100101011110000
310102201001222221100
41033102130223300
510211020024034
6335555324400
744651551326
oct11722345360
93381058840
101330236144
1162297a116
123115b0700
131827935a3
14c8951d16
157bbb4099
hex4f49caf0

1330236144 has 120 divisors (see below), whose sum is σ = 3833942112. Its totient is φ = 430295040.

The previous prime is 1330236143. The next prime is 1330236197. The reversal of 1330236144 is 4416320331.

1330236144 is a `hidden beast` number, since 13 + 30 + 2 + 3 + 614 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330236143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1375149 + ... + 1376115.

Almost surely, 21330236144 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 1330236144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916971056).

1330236144 is an abundant number, since it is smaller than the sum of its proper divisors (2503705968).

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

1330236144 is a wasteful number, since it uses less digits than its factorization.

1330236144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 1330236144 is about 36472.4024983274. The cubic root of 1330236144 is about 1099.7895310823.

Adding to 1330236144 its reverse (4416320331), we get a palindrome (5746556475).

The spelling of 1330236144 in words is "one billion, three hundred thirty million, two hundred thirty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 233 246 328 369 466 492 656 699 738 932 967 984 1398 1476 1864 1934 1968 2097 2796 2901 2952 3728 3868 4194 5592 5802 5904 7736 8388 8703 9553 11184 11604 15472 16776 17406 19106 23208 28659 33552 34812 38212 39647 46416 57318 69624 76424 79294 85977 114636 118941 139248 152848 158588 171954 225311 229272 237882 317176 343908 356823 450622 458544 475764 634352 675933 687816 713646 901244 951528 1351866 1375632 1427292 1802488 1903056 2027799 2703732 2854584 3604976 4055598 5407464 5709168 8111196 9237751 10814928 16222392 18475502 27713253 32444784 36951004 55426506 73902008 83139759 110853012 147804016 166279518 221706024 332559036 443412048 665118072 1330236144