Search a number
-
+
54003941102244 = 223723475371158047
BaseRepresentation
bin11000100011101110001011…
…01110011101001010100100
321002012201121111201200222210
430101313011232131022210
524034300032410232434
6310505022410523420
714242441001304240
oct1421670556351244
9232181544650883
1054003941102244
1116230a40966151
1260823aa736570
13241971bb8aa73
14d49b3a129420
15639b76b08ee9
hex311dc5b9d2a4

54003941102244 has 384 divisors, whose sum is σ = 158568076541952. Its totient is φ = 13972581342720.

The previous prime is 54003941102233. The next prime is 54003941102263. The reversal of 54003941102244 is 44220114930045.

54003941102244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×540039411022444 (a number of 56 digits) contains 4444 as substring.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 341616429 + ... + 341774475.

It is an arithmetic number, because the mean of its divisors is an integer number (412937699328).

Almost surely, 254003941102244 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 54003941102244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79284038270976).

54003941102244 is an abundant number, since it is smaller than the sum of its proper divisors (104564135439708).

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

54003941102244 is a wasteful number, since it uses less digits than its factorization.

54003941102244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158255 (or 158253 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 54003941102244 in words is "fifty-four trillion, three billion, nine hundred forty-one million, one hundred two thousand, two hundred forty-four".