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14013031344 = 24313103263829
BaseRepresentation
bin11010000110011110…
…11110001110110000
31100011120222202012220
431003033132032300
5212144314000334
610234255521040
71004153541534
oct150317361660
940146882186
1014013031344
115a40a99944
122870b29180
131424222430
1496d109bc4
15570359449
hex3433de3b0

14013031344 has 160 divisors (see below), whose sum is σ = 39560801280. Its totient is φ = 4248474624.

The previous prime is 14013031343. The next prime is 14013031363. The reversal of 14013031344 is 44313031041.

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 (14013031343) 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, 16903122 + ... + 16903950.

It is an arithmetic number, because the mean of its divisors is an integer number (247255008).

Almost surely, 214013031344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14013031344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19780400640).

14013031344 is an abundant number, since it is smaller than the sum of its proper divisors (25547769936).

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

14013031344 is a wasteful number, since it uses less digits than its factorization.

14013031344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 14013031344 its reverse (44313031041), we get a palindrome (58326062385).

The spelling of 14013031344 in words is "fourteen billion, thirteen million, thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 103 104 156 206 208 263 309 312 412 526 618 624 789 824 829 1052 1236 1339 1578 1648 1658 2104 2472 2487 2678 3156 3316 3419 4017 4208 4944 4974 5356 6312 6632 6838 8034 9948 10257 10712 10777 12624 13264 13676 16068 19896 20514 21424 21554 27089 27352 32136 32331 39792 41028 43108 54178 54704 64272 64662 81267 82056 85387 86216 108356 129324 162534 164112 170774 172432 216712 218027 256161 258648 325068 341548 352157 433424 436054 512322 517296 650136 654081 683096 704314 872108 1024644 1056471 1110031 1300272 1308162 1366192 1408628 1744216 2049288 2112942 2220062 2616324 2817256 2834351 3330093 3488432 4098576 4225884 4440124 5232648 5634512 5668702 6660186 8451768 8503053 8880248 10465296 11337404 13320372 16903536 17006106 17760496 22456781 22674808 26640744 34012212 44913562 45349616 53281488 67370343 68024424 89827124 134740686 136048848 179654248 269481372 291938153 359308496 538962744 583876306 875814459 1077925488 1167752612 1751628918 2335505224 3503257836 4671010448 7006515672 14013031344