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13134135344 = 24114310117183
BaseRepresentation
bin11000011101101101…
…10000000000110000
31020220100012012120012
430032312300000300
5203344314312334
610011142034052
7643322210531
oct141666600060
936810165505
1013134135344
11562a971310
122666718928
131314107825
148c84c4688
1551d0ea9ce
hex30edb0030

13134135344 has 80 divisors (see below), whose sum is σ = 28689306624. Its totient is φ = 5773152000.

The previous prime is 13134135251. The next prime is 13134135353. The reversal of 13134135344 is 44353143131.

It is a super-2 number, since 2×131341353442 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13134135344.

It is an unprimeable number.

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, 755777 + ... + 772959.

Almost surely, 213134135344 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 13134135344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14344653312).

13134135344 is an abundant number, since it is smaller than the sum of its proper divisors (15555171280).

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

13134135344 is a wasteful number, since it uses less digits than its factorization.

13134135344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17346 (or 17340 counting only the distinct ones).

The product of its digits is 25920, while the sum is 32.

Adding to 13134135344 its reverse (44353143131), we get a palindrome (57487278475).

The spelling of 13134135344 in words is "thirteen billion, one hundred thirty-four million, one hundred thirty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 43 44 86 88 101 172 176 202 344 404 473 688 808 946 1111 1616 1892 2222 3784 4343 4444 7568 8686 8888 17183 17372 17776 34366 34744 47773 68732 69488 95546 137464 189013 191092 274928 378026 382184 738869 756052 764368 1477738 1512104 1735483 2955476 3024208 3470966 5910952 6941932 8127559 11821904 13883864 16255118 19090313 27767728 32510236 38180626 65020472 74625769 76361252 130040944 149251538 152722504 298503076 305445008 597006152 820883459 1194012304 1641766918 3283533836 6567067672 13134135344