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132120434130440 = 2357939750213759
BaseRepresentation
bin11110000010100110101111…
…100010110011111000001000
3122022210120221012220212020112
4132002212233202303320020
5114304130122114133230
61144555142312213452
736554246344344410
oct3602465742637010
9568716835825215
10132120434130440
1139108a6376a818
12129999aa09a288
135894b98c35222
14248a93d8c1640
151041b506d2d95
hex7829af8b3e08

132120434130440 has 64 divisors (see below), whose sum is σ = 339774419865600. Its totient is φ = 45293613136128.

The previous prime is 132120434130437. The next prime is 132120434130491. The reversal of 132120434130440 is 44031434021231.

It is a super-3 number, since 3×1321204341304403 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 132120434130397 and 132120434130406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22475720 + ... + 27738039.

It is an arithmetic number, because the mean of its divisors is an integer number (5308975310400).

Almost surely, 2132120434130440 is an apocalyptic number.

132120434130440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132120434130440 is an abundant number, since it is smaller than the sum of its proper divisors (207653985735160).

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

132120434130440 is a wasteful number, since it uses less digits than its factorization.

132120434130440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50223174 (or 50223170 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 132120434130440 its reverse (44031434021231), we get a palindrome (176151868151671).

The spelling of 132120434130440 in words is "one hundred thirty-two trillion, one hundred twenty billion, four hundred thirty-four million, one hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 9397 18794 37588 46985 65779 75176 93970 131558 187940 263116 328895 375880 526232 657790 1315580 2631160 50213759 100427518 200855036 251068795 351496313 401710072 502137590 702992626 1004275180 1405985252 1757481565 2008550360 2811970504 3514963130 7029926260 14059852520 471858693323 943717386646 1887434773292 2359293466615 3303010853261 3774869546584 4718586933230 6606021706522 9437173866460 13212043413044 16515054266305 18874347732920 26424086826088 33030108532610 66060217065220 132120434130440