Search a number
-
+
140224200402312 = 2332131071415398927
BaseRepresentation
bin11111111000100001111101…
…101001110110010110001000
3200101111022011121212001002100
4133320201331221312112020
5121334413130300333222
61214122035223433400
741351602256204625
oct3770417551662610
9611438147761070
10140224200402312
1140752827542934
1213888480bb5860
1360321156c4350
14268ac5d49334c
15113284733a4ac
hex7f887da76588

140224200402312 has 192 divisors, whose sum is σ = 412842902734080. Its totient is φ = 42739222957056.

The previous prime is 140224200402287. The next prime is 140224200402323. The reversal of 140224200402312 is 213204002422041.

It is a happy number.

140224200402312 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 2 + 420 + 0 + 4 + 0 + 231 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1417401793 + ... + 1417500719.

It is an arithmetic number, because the mean of its divisors is an integer number (2150223451740).

Almost surely, 2140224200402312 is an apocalyptic number.

140224200402312 is a gapful number since it is divisible by the number (12) 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 140224200402312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206421451367040).

140224200402312 is an abundant number, since it is smaller than the sum of its proper divisors (272618702331768).

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

140224200402312 is a wasteful number, since it uses less digits than its factorization.

140224200402312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113212 (or 113205 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 140224200402312 its reverse (213204002422041), we get a palindrome (353428202824353).

The spelling of 140224200402312 in words is "one hundred forty trillion, two hundred twenty-four billion, two hundred million, four hundred two thousand, three hundred twelve".