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4011522131142 = 234533191146417
BaseRepresentation
bin111010011000000001010…
…110100000010011000110
3112012111102212121121110000
4322120001112200103012
51011211044131144032
612310511241142130
7562552154336151
oct72300126402306
915174385547400
104011522131142
1113073057322a9
1254956278a946
13231391c56606
14dc2316c6c98
156e5377d4e7c
hex3a6015a04c6

4011522131142 has 80 divisors (see below), whose sum is σ = 9161313350112. Its totient is φ = 1311524248320.

The previous prime is 4011522131137. The next prime is 4011522131171. The reversal of 4011522131142 is 2411312251104.

4011522131142 is a `hidden beast` number, since 4 + 0 + 1 + 1 + 522 + 131 + 1 + 4 + 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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27324718 + ... + 27471134.

Almost surely, 24011522131142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4011522131142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4580656675056).

4011522131142 is an abundant number, since it is smaller than the sum of its proper divisors (5149791218970).

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

4011522131142 is a wasteful number, since it uses less digits than its factorization.

4011522131142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149675 (or 149666 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 4011522131142 its reverse (2411312251104), we get a palindrome (6422834382246).

The spelling of 4011522131142 in words is "four trillion, eleven billion, five hundred twenty-two million, one hundred thirty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 318 477 954 1431 2862 3191 4293 6382 8586 9573 19146 28719 57438 86157 146417 169123 172314 258471 292834 338246 439251 507369 516942 878502 1014738 1317753 1522107 2635506 3044214 3953259 4566321 7760101 7906518 9132642 11859777 13698963 15520202 23280303 23719554 27397926 46560606 69840909 139681818 209522727 419045454 467216647 628568181 934433294 1257136362 1401649941 2803299882 4204949823 8409899646 12614849469 24762482291 25229698938 37844548407 49524964582 74287446873 75689096814 148574893746 222862340619 445724681238 668587021857 1337174043714 2005761065571 4011522131142