Search a number
-
+
10043420209056 = 25321323307379909
BaseRepresentation
bin1001001000100110101001…
…1111100110111110100000
31022120010211020000102010100
42102021222133212332200
52304022411033142211
633205514502502400
72054420213132133
oct222115237467640
938503736012110
1010043420209056
113222432970813
121162595134a00
1357b12398b210
1426a165a4821a
151263bbd25156
hex9226a7e6fa0

10043420209056 has 288 divisors, whose sum is σ = 32199907259520. Its totient is φ = 2946286835712.

The previous prime is 10043420208959. The next prime is 10043420209063. The reversal of 10043420209056 is 65090202434001.

It is a happy number.

10043420209056 is a `hidden beast` number, since 10 + 0 + 434 + 2 + 0 + 209 + 0 + 5 + 6 = 666.

10043420209056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×100434202090562 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10043420209056.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26246430 + ... + 26626338.

It is an arithmetic number, because the mean of its divisors is an integer number (111805233540).

Almost surely, 210043420209056 is an apocalyptic number.

10043420209056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10043420209056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16099953629760).

10043420209056 is an abundant number, since it is smaller than the sum of its proper divisors (22156487050464).

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

10043420209056 is a wasteful number, since it uses less digits than its factorization.

10043420209056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380268 (or 380257 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 10043420209056 in words is "ten trillion, forty-three billion, four hundred twenty million, two hundred nine thousand, fifty-six".