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332542142544 = 243531069122279
BaseRepresentation
bin1001101011011010000…
…11100110100001010000
31011210100102201011002210
410311231003212201100
520422021242030134
6412433500112120
733011463400443
oct4655503464120
91153312634083
10332542142544
11119037408687
1254547835640
1325487a89c61
141214904b65a
1589b458a2e9
hex4d6d0e6850

332542142544 has 80 divisors (see below), whose sum is σ = 876101961600. Its totient is φ = 108653296128.

The previous prime is 332542142521. The next prime is 332542142617. The reversal of 332542142544 is 445241245233.

It is a super-2 number, since 2×3325421425442 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2658397 + ... + 2780675.

It is an arithmetic number, because the mean of its divisors is an integer number (10951274520).

Almost surely, 2332542142544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332542142544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438050980800).

332542142544 is an abundant number, since it is smaller than the sum of its proper divisors (543559819056).

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

332542142544 is a wasteful number, since it uses less digits than its factorization.

332542142544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123412 (or 123406 counting only the distinct ones).

The product of its digits is 460800, while the sum is 39.

Adding to 332542142544 its reverse (445241245233), we get a palindrome (777783387777).

The spelling of 332542142544 in words is "three hundred thirty-two billion, five hundred forty-two million, one hundred forty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 636 848 1069 1272 2138 2544 3207 4276 6414 8552 12828 17104 25656 51312 56657 113314 122279 169971 226628 244558 339942 366837 453256 489116 679884 733674 906512 978232 1359768 1467348 1956464 2719536 2934696 5869392 6480787 12961574 19442361 25923148 38884722 51846296 77769444 103692592 130716251 155538888 261432502 311077776 392148753 522865004 784297506 1045730008 1568595012 2091460016 3137190024 6274380048 6927961303 13855922606 20783883909 27711845212 41567767818 55423690424 83135535636 110847380848 166271071272 332542142544