Search a number
-
+
31242221424 = 243372319957
BaseRepresentation
bin11101000110001011…
…100111011101110000
32222122022202021211000
4131012023213131300
51002441002041144
622204045122000
72154132333441
oct350613473560
988568667730
1031242221424
1112282468407
12607ab59300
132c3b85026b
1417254092c8
15c2cc04769
hex7462e7770

31242221424 has 40 divisors (see below), whose sum is σ = 89676747920. Its totient is φ = 10414073664.

The previous prime is 31242221407. The next prime is 31242221447. The reversal of 31242221424 is 42412224213.

It is a happy number.

31242221424 is a `hidden beast` number, since 3 + 1 + 2 + 422 + 214 + 24 = 666.

It is a super-3 number, since 3×312422214243 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36159547 + ... + 36160410.

It is an arithmetic number, because the mean of its divisors is an integer number (2241918698).

Almost surely, 231242221424 is an apocalyptic number.

It is an amenable number.

31242221424 is an abundant number, since it is smaller than the sum of its proper divisors (58434526496).

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

31242221424 is a wasteful number, since it uses less digits than its factorization.

31242221424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72319974 (or 72319962 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

Adding to 31242221424 its reverse (42412224213), we get a palindrome (73654445637).

The spelling of 31242221424 in words is "thirty-one billion, two hundred forty-two million, two hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 72319957 144639914 216959871 289279828 433919742 578559656 650879613 867839484 1157119312 1301759226 1735678968 1952638839 2603518452 3471357936 3905277678 5207036904 7810555356 10414073808 15621110712 31242221424