Search a number
-
+
1323130014440 = 2351317603724793
BaseRepresentation
bin10011010000010000101…
…100011100101011101000
311200111020012112221002122
4103100100230130223220
5133134232240430230
62451500524050412
7164410252361663
oct23202054345350
94614205487078
101323130014440
11470155443403
12194521693a08
1397a030a8810
144807b43c6da
152463e867be5
hex13410b1cae8

1323130014440 has 128 divisors (see below), whose sum is σ = 3395335980960. Its totient is φ = 459707940864.

The previous prime is 1323130014431. The next prime is 1323130014463. The reversal of 1323130014440 is 444100313231.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 227343961636 + 1095786052804 = 476806^2 + 1046798^2 .

It is a super-2 number, since 2×13231300144402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53354684 + ... + 53379476.

Almost surely, 21323130014440 is an apocalyptic number.

1323130014440 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 1323130014440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697667990480).

1323130014440 is an abundant number, since it is smaller than the sum of its proper divisors (2072205966520).

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

1323130014440 is a wasteful number, since it uses less digits than its factorization.

1323130014440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30871 (or 30867 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 1323130014440 its reverse (444100313231), we get a palindrome (1767230327671).

The spelling of 1323130014440 in words is "one trillion, three hundred twenty-three billion, one hundred thirty million, fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 442 520 680 884 1105 1768 2210 4420 6037 8840 12074 24148 24793 30185 48296 49586 60370 78481 99172 102629 120740 123965 156962 198344 205258 241480 247930 313924 322309 392405 410516 421481 495860 513145 627848 644618 784810 821032 842962 991720 1026290 1289236 1334177 1569620 1611545 1685924 2052580 2107405 2578472 2668354 3139240 3223090 3371848 4105160 4214810 5336708 5479253 6446180 6670885 8429620 10673416 10958506 12892360 13341770 16859240 21917012 26683540 27396265 43834024 53367080 54792530 109585060 149675341 219170120 299350682 598701364 748376705 1197402728 1496753410 1945779433 2544480797 2993506820 3891558866 5088961594 5987013640 7783117732 9728897165 10177923188 12722403985 15566235464 19457794330 20355846376 25444807970 33078250361 38915588660 50889615940 66156500722 77831177320 101779231880 132313001444 165391251805 264626002888 330782503610 661565007220 1323130014440