Search a number
-
+
14041155303000 = 233353774399989
BaseRepresentation
bin1100110001010011011000…
…0100101111011001011000
31211201022200020212222001000
43030110312010233121120
53320022241224144000
645510230120025000
72646303626556510
oct314246604573130
954638606788030
1014041155303000
1145239031309a1
1216a932a602160
137ab0c947b247
1436784a252840
15195399042000
hexcc53612f658

14041155303000 has 512 divisors, whose sum is σ = 55705148928000. Its totient is φ = 3205055347200.

The previous prime is 14041155302981. The next prime is 14041155303013. The reversal of 14041155303000 is 30355114041.

It is a happy number.

14041155303000 is a `hidden beast` number, since 1 + 40 + 41 + 1 + 553 + 0 + 30 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 140377006 + ... + 140476994.

It is an arithmetic number, because the mean of its divisors is an integer number (108799119000).

Almost surely, 214041155303000 is an apocalyptic number.

14041155303000 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 14041155303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27852574464000).

14041155303000 is an abundant number, since it is smaller than the sum of its proper divisors (41663993625000).

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

14041155303000 is a wasteful number, since it uses less digits than its factorization.

14041155303000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100769 (or 100749 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 14041155303000 in words is "fourteen trillion, forty-one billion, one hundred fifty-five million, three hundred three thousand".