Search a number
-
+
126934290000 = 243454761367
BaseRepresentation
bin111011000110111011…
…1111000111001010000
3110010122021021001010000
41312031313320321100
54034430134240000
6134151322210000
712112356443220
oct1661567707120
9403567231100
10126934290000
1149918108901
1220726053900
13bc7b9c434b
14620227a080
15347db40000
hex1d8ddf8e50

126934290000 has 1000 divisors, whose sum is σ = 534721434368. Its totient is φ = 28460160000.

The previous prime is 126934289927. The next prime is 126934290001. The reversal of 126934290000 is 92439621.

It is a tau number, because it is divible by the number of its divisors (1000).

It is a super-2 number, since 2×1269342900002 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126934290001) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 345869817 + ... + 345870183.

Almost surely, 2126934290000 is an apocalyptic number.

126934290000 is a gapful number since it is divisible by the number (10) 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 126934290000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267360717184).

126934290000 is an abundant number, since it is smaller than the sum of its proper divisors (407787144368).

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

126934290000 is an equidigital number, since it uses as much as digits as its factorization.

126934290000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 126934290000 in words is "one hundred twenty-six billion, nine hundred thirty-four million, two hundred ninety thousand".