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132114201404444 = 227371011262607529
BaseRepresentation
bin11110000010100000111100…
…000010110110010000011100
3122022202222211211221120111222
4132002200330002312100130
5114304024341024420234
61144552232023232512
736553636033140530
oct3602407402662034
9568688754846458
10132114201404444
11391063555344a6
121299874a8a8738
13589441489448c
14248a50bc11bc0
1510418d842942e
hex78283c0b641c

132114201404444 has 48 divisors (see below), whose sum is σ = 274056540031680. Its totient is φ = 54544645209600.

The previous prime is 132114201404443. The next prime is 132114201404467. The reversal of 132114201404444 is 444404102411231.

It is a super-3 number, since 3×1321142014044443 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132114201404441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 631199129 + ... + 631408400.

It is an arithmetic number, because the mean of its divisors is an integer number (5709511250660).

Almost surely, 2132114201404444 is an apocalyptic number.

132114201404444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132114201404444 is an abundant number, since it is smaller than the sum of its proper divisors (141942338627236).

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

132114201404444 is a wasteful number, since it uses less digits than its factorization.

132114201404444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262607678 (or 1262607676 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 35.

Adding to 132114201404444 its reverse (444404102411231), we get a palindrome (576518303815675).

The spelling of 132114201404444 in words is "one hundred thirty-two trillion, one hundred fourteen billion, two hundred one million, four hundred four thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 37 74 101 148 202 259 404 518 707 1036 1414 2828 3737 7474 14948 26159 52318 104636 1262607529 2525215058 5050430116 8838252703 17676505406 35353010812 46716478573 93432957146 127523360429 186865914292 255046720858 327015350011 510093441716 654030700022 892663523003 1308061400044 1785327046006 3570654092012 4718364335873 9436728671746 18873457343492 33028550351111 66057100702222 132114201404444