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132340411333400 = 23527161011527577
BaseRepresentation
bin11110000101110011100111…
…001101001111101100011000
3122100120121201210211121022212
4132011303213031033230120
5114321231130300132100
61145244202355134252
736606164522616554
oct3605634715175430
9570517653747285
10132340411333400
11391932870aa206
1212a1455bba4388
1358ac854ca974a
14249744ac32864
1510477278bd635
hex785ce734fb18

132340411333400 has 96 divisors (see below), whose sum is σ = 312076486406880. Its totient is φ = 52181996160000.

The previous prime is 132340411333393. The next prime is 132340411333421. The reversal of 132340411333400 is 4333114043231.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85870412 + ... + 87397988.

It is an arithmetic number, because the mean of its divisors is an integer number (3250796733405).

Almost surely, 2132340411333400 is an apocalyptic number.

132340411333400 is a gapful number since it is divisible by the number (10) 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 132340411333400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156038243203440).

132340411333400 is an abundant number, since it is smaller than the sum of its proper divisors (179736075073480).

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

132340411333400 is a wasteful number, since it uses less digits than its factorization.

132340411333400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533765 (or 1533756 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 132340411333400 its reverse (4333114043231), we get a palindrome (136673525376631).

The spelling of 132340411333400 in words is "one hundred thirty-two trillion, three hundred forty billion, four hundred eleven million, three hundred thirty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 142 200 284 355 568 710 1420 1775 2840 3550 6101 7100 12202 14200 24404 30505 48808 61010 122020 152525 244040 305050 433171 610100 866342 1220200 1527577 1732684 2165855 3055154 3465368 4331710 6110308 7637885 8663420 10829275 12220616 15275770 17326840 21658550 30551540 38189425 43317100 61103080 76378850 86634200 108457967 152757700 216915934 305515400 433831868 542289835 867663736 1084579670 2169159340 2711449175 4338318680 5422898350 9319747277 10845796700 18639494554 21691593400 37278989108 46598736385 74557978216 93197472770 186394945540 232993681925 372789891080 465987363850 661702056667 931974727700 1323404113334 1863949455400 2646808226668 3308510283335 5293616453336 6617020566670 13234041133340 16542551416675 26468082266680 33085102833350 66170205666700 132340411333400