Search a number
-
+
14244201002031 = 371113211211310639
BaseRepresentation
bin1100111101000111110010…
…0010100111010000101111
31212102201202212012012011020
43033101330202213100233
53331334110424031111
650143410130025223
73000052402541520
oct317217442472057
955381685165136
1014244201002031
1145a1a28135930
121720756118213
137c42b77924a0
143735cca34847
1519a7cea85906
hexcf47c8a742f

14244201002031 has 128 divisors (see below), whose sum is σ = 25635496427520. Its totient is φ = 6794158694400.

The previous prime is 14244201002011. The next prime is 14244201002041. The reversal of 14244201002031 is 13020010244241.

It is not a de Polignac number, because 14244201002031 - 25 = 14244201001999 is a prime.

It is a super-2 number, since 2×142442010020312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14244201001992 and 14244201002010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14244201002011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1338861210 + ... + 1338871848.

It is an arithmetic number, because the mean of its divisors is an integer number (200277315840).

Almost surely, 214244201002031 is an apocalyptic number.

14244201002031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

14244201002031 is a deficient number, since it is larger than the sum of its proper divisors (11391295425489).

14244201002031 is a wasteful number, since it uses less digits than its factorization.

14244201002031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12997.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14244201002031 its reverse (13020010244241), we get a palindrome (27264211246272).

The spelling of 14244201002031 in words is "fourteen trillion, two hundred forty-four billion, two hundred one million, two thousand, thirty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 211 231 273 429 633 1001 1477 2113 2321 2743 3003 4431 6339 6963 8229 10639 14791 16247 19201 23243 27469 30173 31917 44373 48741 57603 69729 74473 82407 90519 117029 138307 162701 192283 211211 223419 302159 351087 414921 445843 488103 576849 633633 819203 906477 968149 1337529 1521377 2115113 2244829 2457609 2904447 3120901 4564131 4904273 5795959 6345339 6734487 9362703 10649639 14712819 15713803 17387877 22480207 24693119 29182777 31948917 34329911 40571713 47141409 63755549 67440621 74079357 87548331 102989733 121715139 157361449 172851833 191266647 204279439 247282277 292242691 321010547 446288843 472084347 518555499 612838317 741846831 876728073 963031641 1338866529 1730975939 2045698837 2247073829 3214669601 4743323677 5192927817 6137096511 6741221487 9644008803 14229971031 22502687207 33203265739 52176560447 61663207801 67508061621 99609797217 156529681341 184989623403 365235923129 431642454607 678295285811 1095707769387 1294927363821 2034885857433 4748067000677 14244201002031