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13114134424540 = 2253167829380819
BaseRepresentation
bin1011111011010101111101…
…0100101110101111011100
31201102200212120120000220101
42332311133110232233130
53204330221403041130
643520314501230444
72522315322244612
oct276653724565734
951380776500811
1013114134424540
1141a6744aa8196
121579735102424
137418718b1376
14334a283516b2
1517b1de7091ca
hexbed5f52ebdc

13114134424540 has 96 divisors (see below), whose sum is σ = 28887238195200. Its totient is φ = 4994626095360.

The previous prime is 13114134424513. The next prime is 13114134424541. The reversal of 13114134424540 is 4542443141131.

It is a self number, because there is not a number n which added to its sum of digits gives 13114134424540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13114134424541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34246251 + ... + 34627069.

It is an arithmetic number, because the mean of its divisors is an integer number (300908731200).

Almost surely, 213114134424540 is an apocalyptic number.

13114134424540 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 13114134424540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14443619097600).

13114134424540 is an abundant number, since it is smaller than the sum of its proper divisors (15773103770660).

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

13114134424540 is a wasteful number, since it uses less digits than its factorization.

13114134424540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381755 (or 381753 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

Adding to 13114134424540 its reverse (4542443141131), we get a palindrome (17656577565671).

The spelling of 13114134424540 in words is "thirteen trillion, one hundred fourteen billion, one hundred thirty-four million, four hundred twenty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 31 62 67 124 134 155 268 310 335 620 670 829 1340 1658 2077 3316 4145 4154 8290 8308 10385 16580 20770 25699 41540 51398 55543 102796 111086 128495 222172 256990 277715 380819 513980 555430 761638 1110860 1523276 1721833 1904095 3443666 3808190 6887332 7616380 8609165 11805389 17218330 23610778 25514873 34436660 47221556 51029746 59026945 102059492 118053890 127574365 236107780 255148730 315698951 510297460 631397902 790961063 1262795804 1578494755 1581922126 3156989510 3163844252 3954805315 6313979020 7909610630 9786667481 15819221260 19573334962 21151829717 39146669924 42303659434 48933337405 84607318868 97866674810 105759148585 195733349620 211518297170 423036594340 655706721227 1311413442454 2622826884908 3278533606135 6557067212270 13114134424540