Search a number
-
+
13981541713560 = 2333523761544837
BaseRepresentation
bin1100101101110101010011…
…0100111100011010011000
31211111121210200101211221000
43023131110310330122120
53313033144134313220
645423010453545000
72642063431454301
oct313352464743230
954447720354830
1013981541713560
1145005a1887903
121699872045160
137a55b8ab5075
143649d2c277a8
15193a5a6bb390
hexcb754d3c698

13981541713560 has 128 divisors (see below), whose sum is σ = 46607186001600. Its totient is φ = 3728247367680.

The previous prime is 13981541713549. The next prime is 13981541713577. The reversal of 13981541713560 is 6531714518931.

13981541713560 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 1 + 5 + 4 + 1 + 71 + 3 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13981541713497 and 13981541713506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25389462 + ... + 25934298.

Almost surely, 213981541713560 is an apocalyptic number.

13981541713560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13981541713560 is an abundant number, since it is smaller than the sum of its proper divisors (32625644288040).

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

13981541713560 is a wasteful number, since it uses less digits than its factorization.

13981541713560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568618 (or 568608 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 13981541713560 in words is "thirteen trillion, nine hundred eighty-one billion, five hundred forty-one million, seven hundred thirteen thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 23761 47522 71283 95044 118805 142566 190088 213849 237610 285132 356415 427698 475220 544837 570264 641547 712830 855396 950440 1069245 1089674 1283094 1425660 1634511 1710792 2138490 2179348 2566188 2724185 2851320 3207735 3269022 4276980 4358696 4903533 5132376 5448370 6415470 6538044 8172555 8553960 9807066 10896740 12830940 13076088 14710599 16345110 19614132 21793480 24517665 25661880 29421198 32690220 39228264 49035330 58842396 65380440 73552995 98070660 117684792 147105990 196141320 294211980 588423960 12945871957 25891743914 38837615871 51783487828 64729359785 77675231742 103566975656 116512847613 129458719570 155350463484 194188079355 233025695226 258917439140 310700926968 349538542839 388376158710 466051390452 517834878280 582564238065 699077085678 776752317420 932102780904 1165128476130 1398154171356 1553504634840 1747692714195 2330256952260 2796308342712 3495385428390 4660513904520 6990770856780 13981541713560