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13340034440 = 2354724129443
BaseRepresentation
bin11000110110010000…
…01100010110001000
31021102200121222000122
430123020030112020
5204310022100230
610043415122412
7651402264455
oct143310142610
937380558018
1013340034440
115726113357
122703673408
131347978c05
149079a082c
1553121cbe5
hex31b20c588

13340034440 has 64 divisors (see below), whose sum is σ = 30781935360. Its totient is φ = 5200634880.

The previous prime is 13340034377. The next prime is 13340034443. The reversal of 13340034440 is 4443004331.

It is a super-2 number, since 2×133400344402 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13340034443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438359 + ... + 467801.

It is an arithmetic number, because the mean of its divisors is an integer number (480967740).

Almost surely, 213340034440 is an apocalyptic number.

13340034440 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 13340034440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15390967680).

13340034440 is an abundant number, since it is smaller than the sum of its proper divisors (17441900920).

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

13340034440 is a wasteful number, since it uses less digits than its factorization.

13340034440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29742 (or 29738 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 13340034440 its reverse (4443004331), we get a palindrome (17783038771).

The spelling of 13340034440 in words is "thirteen billion, three hundred forty million, thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 241 376 470 482 940 964 1205 1880 1928 2410 4820 9640 11327 22654 29443 45308 56635 58886 90616 113270 117772 147215 226540 235544 294430 453080 588860 1177720 1383821 2767642 5535284 6919105 7095763 11070568 13838210 14191526 27676420 28383052 35478815 55352840 56766104 70957630 141915260 283830520 333500861 667001722 1334003444 1667504305 2668006888 3335008610 6670017220 13340034440