Search a number
-
+
544123321408 = 2629293169893
BaseRepresentation
bin1111110101100000100…
…01101111110001000000
31221000110220000200100201
413322300101233301000
532403331032241113
61053544455054544
754211611630352
oct7726021576100
91830426020321
10544123321408
1119a84147a987
1289555971454
133c40653c694
141c49b2870d2
15e2495eecdd
hex7eb046fc40

544123321408 has 28 divisors (see below), whose sum is σ = 1116977296140. Its totient is φ = 262680223232.

The previous prime is 544123321297. The next prime is 544123321409. The reversal of 544123321408 is 804123321445.

It can be written as a sum of positive squares in 2 ways, for example, as 288807358464 + 255315962944 = 537408^2 + 505288^2 .

It is a super-2 number, since 2×5441233214082 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (544123321409) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 146583091 + ... + 146586802.

Almost surely, 2544123321408 is an apocalyptic number.

544123321408 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

544123321408 is an abundant number, since it is smaller than the sum of its proper divisors (572853974732).

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

544123321408 is a wasteful number, since it uses less digits than its factorization.

544123321408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293169934 (or 293169924 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

Adding to 544123321408 its sum of digits (37), we get a palindrome (544123321445).

The spelling of 544123321408 in words is "five hundred forty-four billion, one hundred twenty-three million, three hundred twenty-one thousand, four hundred eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 928 1856 293169893 586339786 1172679572 2345359144 4690718288 8501926897 9381436576 17003853794 18762873152 34007707588 68015415176 136030830352 272061660704 544123321408