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11341332432 = 2432254330971
BaseRepresentation
bin10101000111111111…
…01111111111010000
31002021101201101022100
422203333233333100
5141211340114212
65113220040400
7551022510063
oct124377577720
932241641270
1011341332432
11489a982a11
122246233100
1310b98675c1
147983628da
15465a14bdc
hex2a3feffd0

11341332432 has 60 divisors (see below), whose sum is σ = 31753485504. Its totient is φ = 3778835520.

The previous prime is 11341332419. The next prime is 11341332433. The reversal of 11341332432 is 23423314311.

It is a happy number.

11341332432 is a `hidden beast` number, since 1 + 1 + 3 + 413 + 3 + 243 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11341332396 and 11341332405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11341332433) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 350707 + ... + 381677.

Almost surely, 211341332432 is an apocalyptic number.

11341332432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11341332432 is an abundant number, since it is smaller than the sum of its proper divisors (20412153072).

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

11341332432 is a wasteful number, since it uses less digits than its factorization.

11341332432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33528 (or 33519 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 11341332432 its reverse (23423314311), we get a palindrome (34764646743).

The spelling of 11341332432 in words is "eleven billion, three hundred forty-one million, three hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2543 5086 7629 10172 15258 20344 22887 30516 30971 40688 45774 61032 61942 91548 92913 122064 123884 183096 185826 247768 278739 366192 371652 495536 557478 743304 1114956 1486608 2229912 4459824 78759253 157518506 236277759 315037012 472555518 630074024 708833277 945111036 1260148048 1417666554 1890222072 2835333108 3780444144 5670666216 11341332432