Search a number
-
+
142401540300000 = 253554183913799
BaseRepresentation
bin100000011000001101110001…
…001110011001110011100000
3200200012110021012000002221020
4200120031301032121303200
5122131101323304100000
61222510210422125440
741665112630030532
oct4030156116316340
9620173235002836
10142401540300000
114141217710a633
1213b7a457880880
13615c53b745607
1427243b2733852
15116e2ce21cba0
hex818371399ce0

142401540300000 has 576 divisors, whose sum is σ = 479226077568000. Its totient is φ = 37000716800000.

The previous prime is 142401540299891. The next prime is 142401540300053. The reversal of 142401540300000 is 3045104241.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10319693101 + ... + 10319706899.

It is an arithmetic number, because the mean of its divisors is an integer number (831989718000).

Almost surely, 2142401540300000 is an apocalyptic number.

142401540300000 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 142401540300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239613038784000).

142401540300000 is an abundant number, since it is smaller than the sum of its proper divisors (336824537268000).

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

142401540300000 is an equidigital number, since it uses as much as digits as its factorization.

142401540300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14717 (or 14689 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 142401540300000 its reverse (3045104241), we get a palindrome (142404585404241).

The spelling of 142401540300000 in words is "one hundred forty-two trillion, four hundred one billion, five hundred forty million, three hundred thousand".