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1330323444032 = 261129238127367
BaseRepresentation
bin10011010110111101011…
…101001101000101000000
311201011210112021000101212
4103112331131031011000
5133244000300202112
62455050412145252
7165053440461632
oct23267535150500
94634715230355
101330323444032
114732069a2540
121959aa768228
13985ab4a822b
144856094aa52
152491113e522
hex135bd74d140

1330323444032 has 112 divisors (see below), whose sum is σ = 2980513134720. Its totient is φ = 583574476800.

The previous prime is 1330323444031. The next prime is 1330323444041. The reversal of 1330323444032 is 2304443230331.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1330323444032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330323444031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48596813 + ... + 48624179.

Almost surely, 21330323444032 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 1330323444032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490256567360).

1330323444032 is an abundant number, since it is smaller than the sum of its proper divisors (1650189690688).

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

1330323444032 is a wasteful number, since it uses less digits than its factorization.

1330323444032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29800 (or 29790 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 1330323444032 its reverse (2304443230331), we get a palindrome (3634766674363).

The spelling of 1330323444032 in words is "one trillion, three hundred thirty billion, three hundred twenty-three million, four hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 176 232 319 352 464 638 704 928 1276 1856 2381 2552 4762 5104 9524 10208 19048 20416 26191 27367 38096 52382 54734 69049 76192 104764 109468 138098 152384 209528 218936 276196 301037 419056 437872 552392 602074 759539 793643 838112 875744 1104784 1204148 1519078 1587286 1676224 1751488 2209568 2408296 3038156 3174572 4419136 4816592 6076312 6349144 8730073 9633184 12152624 12698288 17460146 19266368 24305248 25396576 34920292 48610496 50793152 65160827 69840584 130321654 139681168 260643308 279362336 521286616 558724672 716769097 1042573232 1433538194 1889663983 2085146464 2867076388 3779327966 4170292928 5734152776 7558655932 11468305552 15117311864 20786303813 22936611104 30234623728 41572607626 45873222208 60469247456 83145215252 120938494912 166290430504 332580861008 665161722016 1330323444032