Search a number
-
+
140001431132420 = 22511133110914486993
BaseRepresentation
bin11111110101010010011111…
…100100100001100100000100
3200100201000011110011121012122
4133311102133210201210010
5121322240412332214140
61213431434121105112
741326524655514564
oct3765223744414404
9610630143147178
10140001431132420
1140677301054210
1213851270028198
13601710306c710
1426801693c4da4
15112bb59e80ab5
hex7f549f921904

140001431132420 has 192 divisors, whose sum is σ = 359815208417280. Its totient is φ = 45060339916800.

The previous prime is 140001431132411. The next prime is 140001431132557. The reversal of 140001431132420 is 24231134100041.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 140001431132420.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2420444 + ... + 16907436.

It is an arithmetic number, because the mean of its divisors is an integer number (1874037543840).

Almost surely, 2140001431132420 is an apocalyptic number.

140001431132420 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 140001431132420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179907604208640).

140001431132420 is an abundant number, since it is smaller than the sum of its proper divisors (219813777284860).

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

140001431132420 is a wasteful number, since it uses less digits than its factorization.

140001431132420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14487166 (or 14487164 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 140001431132420 its reverse (24231134100041), we get a palindrome (164232565232461).

The spelling of 140001431132420 in words is "one hundred forty trillion, one billion, four hundred thirty-one million, one hundred thirty-two thousand, four hundred twenty".