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140133204421344 = 25331973670912253
BaseRepresentation
bin11111110111001101001101…
…110111101110101011100000
3200101011121021221212020221000
4133313031031313232223200
5121331420300312440334
61214012145544032000
741342201304136521
oct3767151567565340
9611147257766830
10140133204421344
11407181816a3582
1213872906762600
136026673441324
1426866aa1b2848
1511302bd823299
hex7f734ddeeae0

140133204421344 has 192 divisors, whose sum is σ = 409023334843200. Its totient is φ = 46676624357376.

The previous prime is 140133204421333. The next prime is 140133204421349. The reversal of 140133204421344 is 443124402331041.

140133204421344 is a `hidden beast` number, since 1 + 40 + 1 + 3 + 320 + 44 + 213 + 44 = 666.

140133204421344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 140133204421299 and 140133204421308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140133204421349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11436638322 + ... + 11436650574.

It is an arithmetic number, because the mean of its divisors is an integer number (2130329868975).

Almost surely, 2140133204421344 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 140133204421344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204511667421600).

140133204421344 is an abundant number, since it is smaller than the sum of its proper divisors (268890130421856).

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

140133204421344 is a wasteful number, since it uses less digits than its factorization.

140133204421344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20954 (or 20940 counting only the distinct ones).

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

Adding to 140133204421344 its reverse (443124402331041), we get a palindrome (583257606752385).

The spelling of 140133204421344 in words is "one hundred forty trillion, one hundred thirty-three billion, two hundred four million, four hundred twenty-one thousand, three hundred forty-four".