Search a number
-
+
14140332331230 = 23571491672706061
BaseRepresentation
bin1100110111000100110101…
…1111000101000011011110
31212001210200001222000020210
43031301031133011003132
53323133400034044410
650023551243553250
72656414421444430
oct315611537050336
955053601860223
1014140332331230
114561976a66136
1217045a882b826
137b7573623b31
1436c577c88650
15197c50db8220
hexcdc4d7c50de

14140332331230 has 128 divisors (see below), whose sum is σ = 39279031142400. Its totient is φ = 3191159139840.

The previous prime is 14140332331123. The next prime is 14140332331241. The reversal of 14140332331230 is 3213323304141.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3872400 + ... + 6578460.

It is an arithmetic number, because the mean of its divisors is an integer number (306867430800).

Almost surely, 214140332331230 is an apocalyptic number.

14140332331230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14140332331230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19639515571200).

14140332331230 is an abundant number, since it is smaller than the sum of its proper divisors (25138698811170).

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

14140332331230 is a wasteful number, since it uses less digits than its factorization.

14140332331230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2706394.

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 14140332331230 its reverse (3213323304141), we get a palindrome (17353655635371).

The spelling of 14140332331230 in words is "fourteen trillion, one hundred forty billion, three hundred thirty-two million, three hundred thirty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 149 167 210 298 334 447 501 745 835 894 1002 1043 1169 1490 1670 2086 2235 2338 2505 3129 3507 4470 5010 5215 5845 6258 7014 10430 11690 15645 17535 24883 31290 35070 49766 74649 124415 149298 174181 248830 348362 373245 522543 746490 870905 1045086 1741810 2612715 2706061 5225430 5412122 8118183 13530305 16236366 18942427 27060610 37884854 40590915 56827281 81181830 94712135 113654562 189424270 284136405 403203089 451912187 568272810 806406178 903824374 1209609267 1355736561 2016015445 2259560935 2419218534 2711473122 2822421623 3163385309 4032030890 4519121870 5644843246 6048046335 6326770618 6778682805 8467264869 9490155927 12096092670 13557365610 14112108115 15816926545 16934529738 18980311854 28224216230 31633853090 42336324345 47450779635 67334915863 84672648690 94901559270 134669831726 202004747589 336674579315 404009495178 471344411041 673349158630 942688822082 1010023737945 1414033233123 2020047475890 2356722055205 2828066466246 4713444110410 7070166165615 14140332331230