Search a number
-
+
13998627422208 = 216371113683
BaseRepresentation
bin1100101110110100111100…
…1101110000000000000000
31211120020220102011210000000
43023231033031300000000
53313323142110002313
645434514120000000
72643240015546042
oct313551715600000
954506812153000
1013998627422208
11450786a266680
1216a1040000000
137a70ac787040
14365774057a92
1519420a673673
hexcbb4f370000

13998627422208 has 1088 divisors, whose sum is σ = 49402148866560. Its totient is φ = 3909966888960.

The previous prime is 13998627422203. The next prime is 13998627422233. The reversal of 13998627422208 is 80222472689931.

13998627422208 is a `hidden beast` number, since 1 + 3 + 99 + 86 + 27 + 422 + 20 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13998627422203) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20495793835 + ... + 20495794517.

Almost surely, 213998627422208 is an apocalyptic number.

13998627422208 is a gapful number since it is divisible by the number (18) 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 13998627422208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24701074433280).

13998627422208 is an abundant number, since it is smaller than the sum of its proper divisors (35403521444352).

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

13998627422208 is an frugal number, since it uses more digits than its factorization.

13998627422208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 13998627422208 in words is "thirteen trillion, nine hundred ninety-eight billion, six hundred twenty-seven million, four hundred twenty-two thousand, two hundred eight".