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12042013340040 = 2335419973245419
BaseRepresentation
bin1010111100111011111111…
…1011010111000110001000
31120122012112121120220121120
42233032333323113012020
53034244020403340130
641340005145435240
72352002213345235
oct257167773270610
946565477526546
1012042013340040
113922a97661032
1214259a5a9bb20
1369473190a3c8
142d8b9d71878c
1515d391552910
hexaf3bfed7188

12042013340040 has 128 divisors (see below), whose sum is σ = 37011024489600. Its totient is φ = 3132554618880.

The previous prime is 12042013339987. The next prime is 12042013340041. The reversal of 12042013340040 is 4004331024021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12042013340041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48944451 + ... + 49189869.

It is an arithmetic number, because the mean of its divisors is an integer number (289148628825).

Almost surely, 212042013340040 is an apocalyptic number.

12042013340040 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 12042013340040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18505512244800).

12042013340040 is an abundant number, since it is smaller than the sum of its proper divisors (24969011149560).

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

12042013340040 is a wasteful number, since it uses less digits than its factorization.

12042013340040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255447 (or 255443 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12042013340040 its reverse (4004331024021), we get a palindrome (16046344364061).

The spelling of 12042013340040 in words is "twelve trillion, forty-two billion, thirteen million, three hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 4920 9973 19946 29919 39892 49865 59838 79784 99730 119676 149595 199460 239352 245419 299190 398920 408893 490838 598380 736257 817786 981676 1196760 1226679 1227095 1472514 1635572 1963352 2044465 2453358 2454190 2945028 3271144 3681285 4088930 4906716 4908380 5890056 6133395 7362570 8177860 9813432 9816760 10062179 12266790 14725140 16355720 20124358 24533580 29450280 30186537 40248716 49067160 50310895 60373074 80497432 100621790 120746148 150932685 201243580 241492296 301865370 402487160 603730740 1207461480 2447563687 4895127374 7342691061 9790254748 12237818435 14685382122 19580509496 24475636870 29370764244 36713455305 48951273740 58741528488 73426910610 97902547480 100350111167 146853821220 200700222334 293707642440 301050333501 401400444668 501750555835 602100667002 802800889336 1003501111670 1204201334004 1505251667505 2007002223340 2408402668008 3010503335010 4014004446680 6021006670020 12042013340040