Search a number
-
+
13871940595200 = 293352178328447
BaseRepresentation
bin1100100111011101000000…
…0101110110111000000000
31211010010220101120011022000
43021313100011312320000
53304234213243021300
645300403113344000
72631133422360132
oct311672005667000
954103811504260
1013871940595200
114469069909446
121680584a08000
137981701276cc
1435d5969d7052
15190c93615c00
hexc9dd0176e00

13871940595200 has 960 divisors, whose sum is σ = 54563327723520. Its totient is φ = 3439517368320.

The previous prime is 13871940595181. The next prime is 13871940595223. The reversal of 13871940595200 is 259504917831.

It is a happy number.

13871940595200 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 1 + 9 + 40 + 595 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 487627377 + ... + 487655823.

It is an arithmetic number, because the mean of its divisors is an integer number (56836799712).

Almost surely, 213871940595200 is an apocalyptic number.

13871940595200 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 13871940595200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27281663861760).

13871940595200 is an abundant number, since it is smaller than the sum of its proper divisors (40691387128320).

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

13871940595200 is a wasteful number, since it uses less digits than its factorization.

13871940595200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28584 (or 28557 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 13871940595200 in words is "thirteen trillion, eight hundred seventy-one billion, nine hundred forty million, five hundred ninety-five thousand, two hundred".