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132521242434 = 23717241829929
BaseRepresentation
bin111101101101011100…
…0011010111101000010
3110200001122002122001020
41323122320122331002
54132400414224214
6140513542050310
712400666655250
oct1733270327502
9420048078036
10132521242434
1151224871969
1221825119996
13c65c330a69
1465b22895d0
1536a93884a9
hex1edae1af42

132521242434 has 128 divisors (see below), whose sum is σ = 322790054400. Its totient is φ = 35407134720.

The previous prime is 132521242411. The next prime is 132521242481. The reversal of 132521242434 is 434242125231.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 132521242395 and 132521242404.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142648882 + ... + 142649810.

It is an arithmetic number, because the mean of its divisors is an integer number (2521797300).

Almost surely, 2132521242434 is an apocalyptic number.

132521242434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132521242434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161395027200).

132521242434 is an abundant number, since it is smaller than the sum of its proper divisors (190268811966).

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

132521242434 is a wasteful number, since it uses less digits than its factorization.

132521242434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028.

The product of its digits is 46080, while the sum is 33.

Adding to 132521242434 its reverse (434242125231), we get a palindrome (566763367665).

The spelling of 132521242434 in words is "one hundred thirty-two billion, five hundred twenty-one million, two hundred forty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 241 357 482 714 723 829 929 1446 1658 1687 1858 2487 2787 3374 4097 4974 5061 5574 5803 6503 8194 10122 11606 12291 13006 14093 15793 17409 19509 24582 28186 28679 31586 34818 39018 42279 47379 57358 84558 86037 94758 98651 110551 172074 197302 199789 221102 223889 295953 331653 399578 447778 591906 599367 663306 671667 770141 1198734 1343334 1398523 1540282 1567223 2310423 2797046 3134446 3396413 3806113 4195569 4620846 4701669 5390987 6792826 7612226 8391138 9403338 10189239 10781974 11418339 13092397 16172961 20378478 22836678 23774891 26184794 26642791 32345922 39277191 47549782 53285582 71324673 78554382 79928373 91646779 142649346 159856746 183293558 185603981 274940337 371207962 549880674 556811943 1113623886 1299227867 2598455734 3155267677 3897683601 6310535354 7795367202 9465803031 18931606062 22086873739 44173747478 66260621217 132521242434