Search a number
-
+
132410040250332 = 223132293736035957
BaseRepresentation
bin11110000110110100011101…
…011010011110111111011100
3122100211021110100221001221010
4132012310131122132333130
5114323401230301002312
61145340155512335220
736614211142632435
oct3606643532367734
9570737410831833
10132410040250332
113920a867887059
1212a25b526a4510
1358b62a0598800
14249a97445048c
15104945062d93c
hex786d1d69efdc

132410040250332 has 144 divisors (see below), whose sum is σ = 347014951446240. Its totient is φ = 39231203042304.

The previous prime is 132410040250277. The next prime is 132410040250333. The reversal of 132410040250332 is 233052040014231.

It is a super-2 number, since 2×1324100402503322 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132410040250332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132410040250333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18918898 + ... + 24954854.

It is an arithmetic number, because the mean of its divisors is an integer number (2409826051710).

Almost surely, 2132410040250332 is an apocalyptic number.

132410040250332 is a gapful number since it is divisible by the number (12) 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 132410040250332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173507475723120).

132410040250332 is an abundant number, since it is smaller than the sum of its proper divisors (214604911195908).

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

132410040250332 is a wasteful number, since it uses less digits than its factorization.

132410040250332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6036392 (or 6036377 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 132410040250332 its reverse (233052040014231), we get a palindrome (365462080264563).

The spelling of 132410040250332 in words is "one hundred thirty-two trillion, four hundred ten billion, forty million, two hundred fifty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 169 174 338 348 373 377 507 676 746 754 1014 1119 1131 1492 1508 2028 2238 2262 4476 4524 4849 4901 9698 9802 10817 14547 14703 19396 19604 21634 29094 29406 32451 43268 58188 58812 63037 64902 126074 129804 140621 189111 252148 281242 378222 421863 562484 756444 843726 1687452 1828073 3656146 5484219 6035957 7312292 10968438 12071914 18107871 21936876 24143828 36215742 72431484 78467441 156934882 175042753 235402323 313869764 350085506 470804646 525128259 700171012 941609292 1020076733 1050256518 2040153466 2100513036 2251411961 2275555789 3060230199 4080306932 4502823922 4551111578 6120460398 6754235883 6826667367 9005647844 9102223156 12240920796 13508471766 13653334734 27016943532 27306669468 29268355493 29582225257 58536710986 59164450514 65290946869 87805066479 88746675771 117073421972 118328901028 130581893738 175610132958 177493351542 195872840607 261163787476 351220265916 354986703084 380488621409 391745681214 760977242818 783491362428 848782309297 1141465864227 1521954485636 1697564618594 2282931728454 2546346927891 3395129237188 4565863456908 5092693855782 10185387711564 11034170020861 22068340041722 33102510062583 44136680083444 66205020125166 132410040250332