Search a number
-
+
14132444331132 = 223514539551781
BaseRepresentation
bin1100110110100111011101…
…0100101111110001111100
31212001001022100022002100000
43031221313110233301330
53323021221222044012
650020204424434300
72656015100525541
oct315516724576174
955031270262300
1014132444331132
114559599435996
121702b67018990
137b68b736645a
1436c02a416bc8
1519793d642ddc
hexcda7752fc7c

14132444331132 has 36 divisors (see below), whose sum is σ = 37046777940536. Its totient is φ = 4710814776720.

The previous prime is 14132444331113. The next prime is 14132444331149. The reversal of 14132444331132 is 23113344423141.

14132444331132 is a `hidden beast` number, since 1 + 41 + 32 + 44 + 433 + 113 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7269774919 + ... + 7269776862.

Almost surely, 214132444331132 is an apocalyptic number.

14132444331132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14132444331132 is an abundant number, since it is smaller than the sum of its proper divisors (22914333609404).

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

14132444331132 is a wasteful number, since it uses less digits than its factorization.

14132444331132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14539551800 (or 14539551786 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 14132444331132 its reverse (23113344423141), we get a palindrome (37245788754273).

The spelling of 14132444331132 in words is "fourteen trillion, one hundred thirty-two billion, four hundred forty-four million, three hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 14539551781 29079103562 43618655343 58158207124 87237310686 130855966029 174474621372 261711932058 392567898087 523423864116 785135796174 1177703694261 1570271592348 2355407388522 3533111082783 4710814777044 7066222165566 14132444331132