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132444214232000 = 26531119723332789
BaseRepresentation
bin11110000111010100010010…
…010101111000001111000000
3122100221112200000022012201212
4132013110102111320033000
5114324431222320411000
61145404010531345252
736616531044656156
oct3607242225701700
9570845600265655
10132444214232000
1139223304136310
1212a306ab452228
1358b9588629a38
14249c496d7b3d6
15104a2a08e7c35
hex7875125783c0

132444214232000 has 448 divisors, whose sum is σ = 361186932712320. Its totient is φ = 47709949952000.

The previous prime is 132444214231963. The next prime is 132444214232003. The reversal of 132444214232000 is 232412444231.

It is a happy number.

It is a super-2 number, since 2×1324442142320002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132444214232003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4039271606 + ... + 4039304394.

Almost surely, 2132444214232000 is an apocalyptic number.

132444214232000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132444214232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180593466356160).

132444214232000 is an abundant number, since it is smaller than the sum of its proper divisors (228742718480320).

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

132444214232000 is a wasteful number, since it uses less digits than its factorization.

132444214232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33257 (or 33237 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 132444214232000 its reverse (232412444231), we get a palindrome (132676626676231).

The spelling of 132444214232000 in words is "one hundred thirty-two trillion, four hundred forty-four billion, two hundred fourteen million, two hundred thirty-two thousand".