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132444401022 = 23437131168673
BaseRepresentation
bin111101101011001001…
…1010010110101111110
3110122212021111200110000
41323112103102311332
54132221231313042
6140502155055130
712366044555643
oct1732623226576
9418767450400
10132444401022
115119545886a
12218034414a6
13c64943827b
1465a5da5dca
1536a275a74c
hex1ed64d2d7e

132444401022 has 80 divisors (see below), whose sum is σ = 307122968592. Its totient is φ = 42626787840.

The previous prime is 132444400987. The next prime is 132444401051. The reversal of 132444401022 is 220104444231.

132444401022 is a `hidden beast` number, since 13 + 244 + 4 + 401 + 0 + 2 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 700878 + ... + 869550.

Almost surely, 2132444401022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132444401022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153561484296).

132444401022 is an abundant number, since it is smaller than the sum of its proper divisors (174678567570).

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

132444401022 is a wasteful number, since it uses less digits than its factorization.

132444401022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168855 (or 168846 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 132444401022 its reverse (220104444231), we get a palindrome (352548845253).

The spelling of 132444401022 in words is "one hundred thirty-two billion, four hundred forty-four million, four hundred one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 131 162 222 262 333 393 666 786 999 1179 1998 2358 2997 3537 4847 5994 7074 9694 10611 14541 21222 29082 43623 87246 130869 168673 261738 337346 392607 506019 785214 1012038 1518057 3036114 4554171 6240901 9108342 12481802 13662513 18722703 22096163 27325026 37445406 44192326 56168109 66288489 112336218 132576978 168504327 198865467 337008654 397730934 505512981 596596401 817558031 1011025962 1193192802 1635116062 1789789203 2452674093 3579578406 4905348186 7358022279 14716044558 22074066837 44148133674 66222200511 132444401022