Search a number
-
+
10444470748434 = 234226433284729
BaseRepresentation
bin1001011111111100101011…
…1110000000010100010010
31100222111000010100201020000
42113333022332000110102
52332110234002422214
634114042411430430
72125405502356152
oct227771276002422
940874003321200
1010444470748434
1133675254a5978
121208260155416
135a9ba8b50498
1428172d552762
15131a40a84809
hex97fcaf80512

10444470748434 has 40 divisors (see below), whose sum is σ = 23403536673660. Its totient is φ = 3481462646784.

The previous prime is 10444470748423. The next prime is 10444470748441. The reversal of 10444470748434 is 43484707444401.

10444470748434 is a `hidden beast` number, since 10 + 44 + 44 + 70 + 7 + 484 + 3 + 4 = 666.

10444470748434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10433255303025 + 11215445409 = 3230055^2 + 105903^2 .

It is a super-2 number, since 2×104444707484342 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36539782 + ... + 36824510.

Almost surely, 210444470748434 is an apocalyptic number.

10444470748434 is an abundant number, since it is smaller than the sum of its proper divisors (12959065925226).

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

10444470748434 is a wasteful number, since it uses less digits than its factorization.

10444470748434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511176 (or 511167 counting only the distinct ones).

The product of its (nonzero) digits is 19267584, while the sum is 54.

The spelling of 10444470748434 in words is "ten trillion, four hundred forty-four billion, four hundred seventy million, seven hundred forty-eight thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 226433 284729 452866 569458 679299 854187 1358598 1708374 2037897 2562561 4075794 5125122 6113691 7687683 12227382 15375366 18341073 23063049 36682146 46126098 64472041657 128944083314 193416124971 386832249942 580248374913 1160496749826 1740745124739 3481490249478 5222235374217 10444470748434