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1330331320024 = 237319239310663
BaseRepresentation
bin10011010110111101111…
…011001111111011011000
311201011211002002011020021
4103112331323033323120
5133244004304220044
62455051253040224
7165053564434000
oct23267573177330
94634732064207
101330331320024
11473210391923
121959b1326074
13985b0005095
14485619db000
1524911b97e84
hex135bdecfed8

1330331320024 has 128 divisors (see below), whose sum is σ = 3063553920000. Its totient is φ = 539858172672.

The previous prime is 1330331320001. The next prime is 1330331320051. The reversal of 1330331320024 is 4200231330331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124756117 + ... + 124766779.

It is an arithmetic number, because the mean of its divisors is an integer number (23934015000).

Almost surely, 21330331320024 is an apocalyptic number.

1330331320024 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 1330331320024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531776960000).

1330331320024 is an abundant number, since it is smaller than the sum of its proper divisors (1733222599976).

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

1330331320024 is a wasteful number, since it uses less digits than its factorization.

1330331320024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13102 (or 13084 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 1330331320024 its reverse (4200231330331), we get a palindrome (5530562650355).

The spelling of 1330331320024 in words is "one trillion, three hundred thirty billion, three hundred thirty-one million, three hundred twenty thousand, twenty-four".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 152 196 266 343 392 532 686 931 1064 1372 1862 2393 2744 3724 4786 6517 7448 9572 10663 13034 16751 19144 21326 26068 33502 42652 45467 52136 67004 74641 85304 90934 117257 134008 149282 181868 202597 234514 298564 318269 363736 405194 469028 522487 597128 636538 810388 820799 938056 1044974 1273076 1418179 1620776 1641598 2089948 2227883 2546152 2836358 3283196 3657409 4179896 4455766 5672716 6566392 7314818 8911532 9927253 11345432 14629636 15595181 17823064 19854506 25516559 29259272 31190362 39709012 51033118 62380724 69490771 79418024 102066236 124761448 138981542 178615913 204132472 277963084 357231826 484814621 555926168 714463652 969629242 1250311391 1428927304 1939258484 2500622782 3393702347 3878516968 5001245564 6787404694 8752179737 10002491128 13574809388 17504359474 23755916429 27149618776 35008718948 47511832858 70017437896 95023665716 166291415003 190047331432 332582830006 665165660012 1330331320024