Search a number
-
+
140022042010000 = 24542310923323971
BaseRepresentation
bin11111110101100101101100…
…000100110010000110010000
3200100202222100212011122221221
4133311211230010302012100
5121323110120223310000
61213445123231454424
741331154506213643
oct3765455404620620
9610688325148857
10140022042010000
1140685018390637
1213855262687414
136019039181077
142681162885a5a
15112c46466761a
hex7f596c132190

140022042010000 has 400 divisors, whose sum is σ = 358539312193920. Its totient is φ = 52852124160000.

The previous prime is 140022042009989. The next prime is 140022042010021. The reversal of 140022042010000 is 10240220041.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5841298015 + ... + 5841321985.

Almost surely, 2140022042010000 is an apocalyptic number.

140022042010000 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 140022042010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179269656096960).

140022042010000 is an abundant number, since it is smaller than the sum of its proper divisors (218517270183920).

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

140022042010000 is a wasteful number, since it uses less digits than its factorization.

140022042010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24364 (or 24343 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 140022042010000 its reverse (10240220041), we get a palindrome (140032282230041).

The spelling of 140022042010000 in words is "one hundred forty trillion, twenty-two billion, forty-two million, ten thousand".