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12134415540 = 22351359263677
BaseRepresentation
bin10110100110100010…
…00111110010110100
31011022200001011210210
423103101013302310
5144322402244130
65324030345420
7606462554532
oct132321076264
934280034723
1012134415540
115167619aa5
12242795b270
1311b4c68050
1483180b152
154b04725b0
hex2d3447cb4

12134415540 has 96 divisors (see below), whose sum is σ = 37210239360. Its totient is φ = 2936295936.

The previous prime is 12134415539. The next prime is 12134415541. The reversal of 12134415540 is 4551443121.

12134415540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12134415539) and next prime (12134415541).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12134415498 and 12134415507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12134415541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85819 + ... + 177858.

It is an arithmetic number, because the mean of its divisors is an integer number (387606660).

Almost surely, 212134415540 is an apocalyptic number.

12134415540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12134415540 is an abundant number, since it is smaller than the sum of its proper divisors (25075823820).

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

12134415540 is a wasteful number, since it uses less digits than its factorization.

12134415540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263761 (or 263759 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 12134415540 its reverse (4551443121), we get a palindrome (16685858661).

The spelling of 12134415540 in words is "twelve billion, one hundred thirty-four million, four hundred fifteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 59 60 65 78 118 130 156 177 195 236 260 295 354 390 590 708 767 780 885 1180 1534 1770 2301 3068 3540 3835 4602 7670 9204 11505 15340 23010 46020 263677 527354 791031 1054708 1318385 1582062 2636770 3164124 3427801 3955155 5273540 6855602 7910310 10283403 13711204 15556943 15820620 17139005 20566806 31113886 34278010 41133612 46670829 51417015 62227772 68556020 77784715 93341658 102834030 155569430 186683316 202240259 205668060 233354145 311138860 404480518 466708290 606720777 808961036 933416580 1011201295 1213441554 2022402590 2426883108 3033603885 4044805180 6067207770 12134415540