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1332443132244 = 22327311051162287
BaseRepresentation
bin10011011000111011110…
…011001011000101010100
311201101021020211022222200
4103120323303023011110
5133312320420212434
62500041012324500
7165160116515640
oct23307363130524
94641236738880
101332443132244
114740a4458684
121962a0613730
139885869a603
14486c227dc20
15249d7295199
hex1363bccb154

1332443132244 has 144 divisors (see below), whose sum is σ = 3977255632896. Its totient is φ = 368064648000.

The previous prime is 1332443132227. The next prime is 1332443132249. The reversal of 1332443132244 is 4422313442331.

1332443132244 is a `hidden beast` number, since 1 + 3 + 324 + 4 + 3 + 1 + 322 + 4 + 4 = 666.

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 junction number, because it is equal to n+sod(n) for n = 1332443132199 and 1332443132208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332443132249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8129269 + ... + 8291555.

It is an arithmetic number, because the mean of its divisors is an integer number (27619830784).

Almost surely, 21332443132244 is an apocalyptic number.

1332443132244 is a gapful number since it is divisible by the number (14) 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 1332443132244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1988627816448).

1332443132244 is an abundant number, since it is smaller than the sum of its proper divisors (2644812500652).

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

1332443132244 is a wasteful number, since it uses less digits than its factorization.

1332443132244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163386 (or 163381 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

Adding to 1332443132244 its reverse (4422313442331), we get a palindrome (5754756574575).

The spelling of 1332443132244 in words is "one trillion, three hundred thirty-two billion, four hundred forty-three million, one hundred thirty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 868 1051 1116 1302 1953 2102 2604 3153 3906 4204 6306 7357 7812 9459 12612 14714 18918 22071 29428 32581 37836 44142 65162 66213 88284 97743 130324 132426 162287 195486 228067 264852 293229 324574 390972 456134 486861 586458 649148 684201 912268 973722 1136009 1172916 1368402 1460583 1947444 2052603 2272018 2736804 2921166 3408027 4105206 4544036 5030897 5842332 6816054 8210412 10061794 10224081 13632108 15092691 20123588 20448162 30185382 35216279 40896324 45278073 60370764 70432558 90556146 105648837 140865116 170563637 181112292 211297674 316946511 341127274 422595348 511690911 633893022 682254548 1023381822 1193945459 1267786044 1535072733 2046763644 2387890918 3070145466 3581836377 4775781836 5287472747 6140290932 7163672754 10574945494 10745509131 14327345508 15862418241 21149890988 21491018262 31724836482 37012309229 42982036524 47587254723 63449672964 74024618458 95174509446 111036927687 148049236916 190349018892 222073855374 333110783061 444147710748 666221566122 1332443132244