Search a number
-
+
13441335340400 = 24521113463226907
BaseRepresentation
bin1100001110011000111000…
…0001001010110101110000
31202120222102202210202102122
43003212032001022311300
53230210323321343100
644330510400333412
72555050551164042
oct303461601126560
952528382722378
1013441335340400
114312490426140
121611030014268
13766687c08956
143467c7c75a92
1518498edd8985
hexc398e04ad70

13441335340400 has 120 divisors (see below), whose sum is σ = 35231289945984. Its totient is φ = 4887373715200.

The previous prime is 13441335340357. The next prime is 13441335340421. The reversal of 13441335340400 is 404353314431.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59123747 + ... + 59350653.

Almost surely, 213441335340400 is an apocalyptic number.

13441335340400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13441335340400 is an abundant number, since it is smaller than the sum of its proper divisors (21789954605584).

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

13441335340400 is a wasteful number, since it uses less digits than its factorization.

13441335340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240399 (or 240388 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 35.

Adding to 13441335340400 its reverse (404353314431), we get a palindrome (13845688654831).

The spelling of 13441335340400 in words is "thirteen trillion, four hundred forty-one billion, three hundred thirty-five million, three hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 13463 26926 53852 67315 107704 134630 148093 215408 226907 269260 296186 336575 453814 538520 592372 673150 740465 907628 1077040 1134535 1184744 1346300 1480930 1815256 2269070 2369488 2495977 2692600 2961860 3630512 3702325 4538140 4991954 5385200 5672675 5923720 7404650 9076280 9983908 11345350 11847440 12479885 14809300 18152560 19967816 22690700 24959770 29618600 39935632 45381400 49919540 59237200 62399425 90762800 99839080 124798850 199678160 249597700 499195400 998390800 3054848941 6109697882 12219395764 15274244705 24438791528 30548489410 33603338351 48877583056 61096978820 67206676702 76371223525 122193957640 134413353404 152742447050 168016691755 244387915280 268826706808 305484894100 336033383510 537653413616 610969788200 672066767020 840083458775 1221939576400 1344133534040 1680166917550 2688267068080 3360333835100 6720667670200 13441335340400