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114738498000 = 24335372103421
BaseRepresentation
bin110101011011011110…
…0101000100111010000
3101222011022201121122000
41222312330220213100
53334441023414000
6124413220114000
711201220066300
oct1526674504720
9358138647560
10114738498000
1144729988865
121a2a1835900
13aa87119989
1457a6653600
152eb80e7000
hex1ab6f289d0

114738498000 has 960 divisors, whose sum is σ = 483912599040. Its totient is φ = 25909632000.

The previous prime is 114738497899. The next prime is 114738498011. The reversal of 114738498000 is 894837411.

It is a happy number.

114738498000 is a `hidden beast` number, since 11 + 473 + 84 + 98 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 272537790 + ... + 272538210.

It is an arithmetic number, because the mean of its divisors is an integer number (504075624).

Almost surely, 2114738498000 is an apocalyptic number.

114738498000 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 114738498000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241956299520).

114738498000 is an abundant number, since it is smaller than the sum of its proper divisors (369174101040).

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

114738498000 is a wasteful number, since it uses less digits than its factorization.

114738498000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 114738498000 in words is "one hundred fourteen billion, seven hundred thirty-eight million, four hundred ninety-eight thousand".