Search a number
-
+
13134300353040 = 2435174876610249
BaseRepresentation
bin1011111100100001000101…
…0011101001001000010000
31201111121220222022100021010
42333020101103221020100
53210143021342244130
643533451515130520
72523631130642226
oct277102123511020
951447828270233
1013134300353040
1142042531587a9
121581622743a40
13743736774039
143359bc6aab16
1517b9becee0b0
hexbf2114e9210

13134300353040 has 160 divisors (see below), whose sum is σ = 43199940384000. Its totient is φ = 3289682460672.

The previous prime is 13134300353033. The next prime is 13134300353099. The reversal of 13134300353040 is 4035300343131.

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 = 13134300352989 and 13134300353007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1318165 + ... + 5292084.

It is an arithmetic number, because the mean of its divisors is an integer number (269999627400).

Almost surely, 213134300353040 is an apocalyptic number.

13134300353040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13134300353040 is an abundant number, since it is smaller than the sum of its proper divisors (30065640030960).

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

13134300353040 is a wasteful number, since it uses less digits than its factorization.

13134300353040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6610769 (or 6610763 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 30.

Adding to 13134300353040 its reverse (4035300343131), we get a palindrome (17169600696171).

Subtracting from 13134300353040 its reverse (4035300343131), we obtain a palindrome (9099000009909).

The spelling of 13134300353040 in words is "thirteen trillion, one hundred thirty-four billion, three hundred million, three hundred fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 487 510 680 816 974 1020 1360 1461 1948 2040 2435 2922 3896 4080 4870 5844 7305 7792 8279 9740 11688 14610 16558 19480 23376 24837 29220 33116 38960 41395 49674 58440 66232 82790 99348 116880 124185 132464 165580 198696 248370 331160 397392 496740 662320 993480 1986960 6610249 13220498 19830747 26440996 33051245 39661494 52881992 66102490 79322988 99153735 105763984 112374233 132204980 158645976 198307470 224748466 264409960 317291952 337122699 396614940 449496932 528819920 561871165 674245398 793229880 898993864 1123742330 1348490796 1586459760 1685613495 1797987728 2247484660 2696981592 3219191263 3371226990 4494969320 5393963184 6438382526 6742453980 8989938640 9657573789 12876765052 13484907960 16095956315 19315147578 25753530104 26969815920 32191912630 38630295156 48287868945 51507060208 54726251471 64383825260 77260590312 96575737890 109452502942 128767650520 154521180624 164178754413 193151475780 218905005884 257535301040 273631257355 328357508826 386302951560 437810011768 547262514710 656715017652 772605903120 820893772065 875620023536 1094525029420 1313430035304 1641787544130 2189050058840 2626860070608 3283575088260 4378100117680 6567150176520 13134300353040