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133416260340 = 223511202145849
BaseRepresentation
bin111110001000000111…
…0101001001011110100
3110202101000020020210120
41330100032221023310
54141214030312330
6141142433251540
712432115334016
oct1742016511364
9422330206716
10133416260340
1151644001090
1221a34a03bb0
13c7728a185c
1466590aa1b6
15370cc2dc10
hex1f103a92f4

133416260340 has 48 divisors (see below), whose sum is σ = 407526033600. Its totient is φ = 32343335680.

The previous prime is 133416260311. The next prime is 133416260357. The reversal of 133416260340 is 43062614331.

It is a super-3 number, since 3×1334162603403 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101072265 + ... + 101073584.

It is an arithmetic number, because the mean of its divisors is an integer number (8490125700).

Almost surely, 2133416260340 is an apocalyptic number.

133416260340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133416260340 is an abundant number, since it is smaller than the sum of its proper divisors (274109773260).

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

133416260340 is a wasteful number, since it uses less digits than its factorization.

133416260340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202145872 (or 202145870 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 133416260340 its reverse (43062614331), we get a palindrome (176478874671).

The spelling of 133416260340 in words is "one hundred thirty-three billion, four hundred sixteen million, two hundred sixty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 202145849 404291698 606437547 808583396 1010729245 1212875094 2021458490 2223604339 2425750188 3032187735 4042916980 4447208678 6064375470 6670813017 8894417356 11118021695 12128750940 13341626034 22236043390 26683252068 33354065085 44472086780 66708130170 133416260340