Search a number
-
+
13114401401440 = 255233796316109
BaseRepresentation
bin1011111011010110111100…
…1111001010101001100000
31201102201120011220212100201
42332311233033022221200
53204331243224321230
643520401155354544
72522325043435123
oct276655717125140
951381504825321
1013114401401440
1141a6871776959
1215797aa5b2a54
137418b4cb9171
14334a519aa3ba
1517b207d935ca
hexbed6f3caa60

13114401401440 has 96 divisors (see below), whose sum is σ = 33203630496960. Its totient is φ = 4882070882304.

The previous prime is 13114401401393. The next prime is 13114401401467. The reversal of 13114401401440 is 4410410441131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13114401401399 and 13114401401408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48021895 + ... + 48294214.

It is an arithmetic number, because the mean of its divisors is an integer number (345871151010).

Almost surely, 213114401401440 is an apocalyptic number.

13114401401440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13114401401440 is an abundant number, since it is smaller than the sum of its proper divisors (20089229095520).

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

13114401401440 is a wasteful number, since it uses less digits than its factorization.

13114401401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96316184 (or 96316176 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 13114401401440 its reverse (4410410441131), we get a palindrome (17524811842571).

The spelling of 13114401401440 in words is "thirteen trillion, one hundred fourteen billion, four hundred one million, four hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 37 40 46 74 80 92 115 148 160 184 185 230 296 368 370 460 592 736 740 851 920 1184 1480 1702 1840 2960 3404 3680 4255 5920 6808 8510 13616 17020 27232 34040 68080 136160 96316109 192632218 385264436 481580545 770528872 963161090 1541057744 1926322180 2215270507 3082115488 3563696033 3852644360 4430541014 7127392066 7705288720 8861082028 11076352535 14254784132 15410577440 17722164056 17818480165 22152705070 28509568264 35444328112 35636960330 44305410140 57019136528 70888656224 71273920660 81965008759 88610820280 114038273056 142547841320 163930017518 177221640560 285095682640 327860035036 354443281120 409825043795 570191365280 655720070072 819650087590 1311440140144 1639300175180 2622880280288 3278600350360 6557200700720 13114401401440