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14013013140240 = 2435239412697757
BaseRepresentation
bin1100101111101010100010…
…1010111010001100010000
31211121122000222102222020120
43023322220222322030100
53314042122330441430
645445253411510240
72644256346253662
oct313725052721420
954548028388216
1014013013140240
114512981665544
1216a39958b8380
137a8562c7692a
1436633a858532
1519479d598610
hexcbea8aba310

14013013140240 has 160 divisors (see below), whose sum is σ = 45377239170816. Its totient is φ = 3570534021120.

The previous prime is 14013013140197. The next prime is 14013013140289. The reversal of 14013013140240 is 4204131031041.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14013013140240.

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, 3845442 + ... + 6543198.

Almost surely, 214013013140240 is an apocalyptic number.

14013013140240 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 14013013140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22688619585408).

14013013140240 is an abundant number, since it is smaller than the sum of its proper divisors (31364226030576).

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

14013013140240 is a wasteful number, since it uses less digits than its factorization.

14013013140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2698737 (or 2698731 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 14013013140240 its reverse (4204131031041), we get a palindrome (18217144171281).

The spelling of 14013013140240 in words is "fourteen trillion, thirteen billion, thirteen million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 941 1104 1380 1840 1882 2760 2823 3764 4705 5520 5646 7528 9410 11292 14115 15056 18820 21643 22584 28230 37640 43286 45168 56460 64929 75280 86572 108215 112920 129858 173144 216430 225840 259716 324645 346288 432860 519432 649290 865720 1038864 1298580 1731440 2597160 2697757 5194320 5395514 8093271 10791028 13488785 16186542 21582056 26977570 32373084 40466355 43164112 53955140 62048411 64746168 80932710 107910280 124096822 129492336 161865420 186145233 215820560 248193644 310242055 323730840 372290466 496387288 620484110 647461680 744580932 930726165 992774576 1240968220 1489161864 1861452330 2481936440 2538589337 2978323728 3722904660 4963872880 5077178674 7445809320 7615768011 10154357348 12692946685 14891618640 15231536022 20308714696 25385893370 30463072044 38078840055 40617429392 50771786740 58387554751 60926144088 76157680110 101543573480 116775109502 121852288176 152315360220 175162664253 203087146960 233550219004 291937773755 304630720440 350325328506 467100438008 583875547510 609261440880 700650657012 875813321265 934200876016 1167751095020 1401301314024 1751626642530 2335502190040 2802602628048 3503253285060 4671004380080 7006506570120 14013013140240