Search a number
-
+
13800402000 = 2433537113319
BaseRepresentation
bin11001101101001000…
…10110110001010000
31022121202220001121000
430312210112301100
5211230400331000
610201222302000
7665662324110
oct146644266120
938552801530
1013800402000
115941a70310
122811887900
1313bc165858
1494cb9b040
1555b858000
hex336916c50

13800402000 has 640 divisors, whose sum is σ = 61653196800. Its totient is φ = 2866752000.

The previous prime is 13800401987. The next prime is 13800402059. The reversal of 13800402000 is 20400831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 4156341 + ... + 4159659.

It is an arithmetic number, because the mean of its divisors is an integer number (96333120).

Almost surely, 213800402000 is an apocalyptic number.

13800402000 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 13800402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30826598400).

13800402000 is an abundant number, since it is smaller than the sum of its proper divisors (47852794800).

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

13800402000 is a wasteful number, since it uses less digits than its factorization.

13800402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3369 (or 3347 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 13800402000 its reverse (20400831), we get a palindrome (13820802831).

The spelling of 13800402000 in words is "thirteen billion, eight hundred million, four hundred two thousand".