Search a number
-
+
140430131244324 = 22352388322213203
BaseRepresentation
bin11111111011100001110000…
…000101101010110100100100
3200102012222201022001201100000
4133323201300011222310210
5121401301402044304244
61214400413420221300
741402512364401335
oct3773416005526444
9612188638051300
10140430131244324
11408220a2099459
121390037299a830
136048673676a9c
142696bd710028c
151137d9b2d6169
hex7fb87016ad24

140430131244324 has 288 divisors, whose sum is σ = 384857090601984. Its totient is φ = 44690023002240.

The previous prime is 140430131244323. The next prime is 140430131244331. The reversal of 140430131244324 is 423442131034041.

140430131244324 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 301 + 3 + 1 + 24 + 4 + 324 = 666.

140430131244324 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1404301312443242 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (140430131244323) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43843311307 + ... + 43843314509.

It is an arithmetic number, because the mean of its divisors is an integer number (1336309342368).

Almost surely, 2140430131244324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140430131244324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192428545300992).

140430131244324 is an abundant number, since it is smaller than the sum of its proper divisors (244426959357660).

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

140430131244324 is a wasteful number, since it uses less digits than its factorization.

140430131244324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6349 (or 6335 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 140430131244324 its reverse (423442131034041), we get a palindrome (563872262278365).

The spelling of 140430131244324 in words is "one hundred forty trillion, four hundred thirty billion, one hundred thirty-one million, two hundred forty-four thousand, three hundred twenty-four".