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13813932342 = 2372316638599
BaseRepresentation
bin11001101110101111…
…11110000100110110
31022122201100110201210
430313113332010312
5211242331313332
610202424302250
7666215326140
oct146727760466
938581313653
1013813932342
115949671911
122816311986
1313c1bc2282
149508bdc90
1555cb2becc
hex3375fe136

13813932342 has 64 divisors (see below), whose sum is σ = 32971161600. Its totient is φ = 3772527264.

The previous prime is 13813932287. The next prime is 13813932343. The reversal of 13813932342 is 24323931831.

It is a self number, because there is not a number n which added to its sum of digits gives 13813932342.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13813932343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1602159 + ... + 1610757.

It is an arithmetic number, because the mean of its divisors is an integer number (515174400).

Almost surely, 213813932342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13813932342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16485580800).

13813932342 is an abundant number, since it is smaller than the sum of its proper divisors (19157229258).

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

13813932342 is a wasteful number, since it uses less digits than its factorization.

13813932342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10297.

The product of its digits is 93312, while the sum is 39.

The spelling of 13813932342 in words is "thirteen billion, eight hundred thirteen million, nine hundred thirty-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 322 483 966 1663 3326 4989 8599 9978 11641 17198 23282 25797 34923 38249 51594 60193 69846 76498 114747 120386 180579 197777 229494 267743 361158 395554 535486 593331 803229 1186662 1384439 1606458 2768878 4153317 8306634 14300137 28600274 42900411 85800822 100100959 200201918 300302877 328903151 600605754 657806302 986709453 1973418906 2302322057 4604644114 6906966171 13813932342