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132314451444 = 22327525057347
BaseRepresentation
bin111101100111010001…
…1100100110111110100
3110122112012222120010200
41323032203210313310
54131434444421234
6140441233520500
712362606165130
oct1731643446764
9418465876120
10132314451444
115112907081a
1221787a13130
13c628539726
146592a1a3c0
15369613bd99
hex1ece8e4df4

132314451444 has 36 divisors (see below), whose sum is σ = 382241749344. Its totient is φ = 37804128912.

The previous prime is 132314451427. The next prime is 132314451461. The reversal of 132314451444 is 444154413231.

It is a happy number.

132314451444 is a `hidden beast` number, since 1 + 3 + 23 + 144 + 51 + 444 = 666.

It is an interprime number because it is at equal distance from previous prime (132314451427) and next prime (132314451461).

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

It is a super-2 number, since 2×1323144514442 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 132314451399 and 132314451408.

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, 262528422 + ... + 262528925.

Almost surely, 2132314451444 is an apocalyptic number.

132314451444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132314451444 is an abundant number, since it is smaller than the sum of its proper divisors (249927297900).

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

132314451444 is a wasteful number, since it uses less digits than its factorization.

132314451444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525057364 (or 525057359 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

Adding to 132314451444 its reverse (444154413231), we get a palindrome (576468864675).

The spelling of 132314451444 in words is "one hundred thirty-two billion, three hundred fourteen million, four hundred fifty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 525057347 1050114694 1575172041 2100229388 3150344082 3675401429 4725516123 6300688164 7350802858 9451032246 11026204287 14701605716 18902064492 22052408574 33078612861 44104817148 66157225722 132314451444