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13483101440 = 28567157219
BaseRepresentation
bin11001000111010011…
…11100110100000000
31021210122211112001102
430203221330310000
5210103133221230
610105525353532
7655060320434
oct144351746400
937718745042
1013483101440
11579994a746
1227435688a8
13136b4bb243
1491c9a29c4
1553da7d045
hex323a7cd00

13483101440 has 72 divisors (see below), whose sum is σ = 32778483360. Its totient is φ = 5312710656.

The previous prime is 13483101433. The next prime is 13483101449. The reversal of 13483101440 is 4410138431.

13483101440 = T487 + T488 + ... + T4326.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13483101449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7151 + ... + 164369.

Almost surely, 213483101440 is an apocalyptic number.

13483101440 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 13483101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16389241680).

13483101440 is an abundant number, since it is smaller than the sum of its proper divisors (19295381920).

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

13483101440 is an equidigital number, since it uses as much as digits as its factorization.

13483101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157307 (or 157293 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 13483101440 its reverse (4410138431), we get a palindrome (17893239871).

The spelling of 13483101440 in words is "thirteen billion, four hundred eighty-three million, one hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 128 134 160 256 268 320 335 536 640 670 1072 1280 1340 2144 2680 4288 5360 8576 10720 17152 21440 42880 85760 157219 314438 628876 786095 1257752 1572190 2515504 3144380 5031008 6288760 10062016 10533673 12577520 20124032 21067346 25155040 40248064 42134692 50310080 52668365 84269384 100620160 105336730 168538768 201240320 210673460 337077536 421346920 674155072 842693840 1348310144 1685387680 2696620288 3370775360 6741550720 13483101440