Search a number
-
+
32541421240 = 2355385717911
BaseRepresentation
bin11110010011100111…
…101010111010111000
310002222212102110220201
4132103213222322320
51013121100434430
622541015331544
72231256342136
oct362347527270
9102885373821
1032541421240
1112889869469
126382080bb4
1330b7a67c53
141809b9c756
15ca6cd78ca
hex7939eaeb8

32541421240 has 64 divisors (see below), whose sum is σ = 74690890560. Its totient is φ = 12755358720.

The previous prime is 32541421229. The next prime is 32541421249. The reversal of 32541421240 is 4212414523.

It is a junction number, because it is equal to n+sod(n) for n = 32541421199 and 32541421208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32541421249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1807885 + ... + 1825795.

It is an arithmetic number, because the mean of its divisors is an integer number (1167045165).

Almost surely, 232541421240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32541421240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37345445280).

32541421240 is an abundant number, since it is smaller than the sum of its proper divisors (42149469320).

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

32541421240 is a wasteful number, since it uses less digits than its factorization.

32541421240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18832 (or 18828 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 32541421240 its reverse (4212414523), we get a palindrome (36753835763).

The spelling of 32541421240 in words is "thirty-two billion, five hundred forty-one million, four hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 857 1060 1714 2120 3428 4285 6856 8570 17140 17911 34280 35822 45421 71644 89555 90842 143288 179110 181684 227105 358220 363368 454210 716440 908420 949283 1816840 1898566 3797132 4746415 7594264 9492830 15349727 18985660 30699454 37971320 61398908 76748635 122797816 153497270 306994540 613989080 813535531 1627071062 3254142124 4067677655 6508284248 8135355310 16270710620 32541421240