Search a number
-
+
140213324341440 = 26335717136373059
BaseRepresentation
bin11111111000010111110101…
…011000111110000011000000
3200101110021002122121220101000
4133320113311120332003000
5121334223342012411230
61214113040104012000
741351035613210430
oct3770276530760300
9611407078556330
10140213324341440
1140749156267379
1213886346761000
1360310a137287c
14268a50ac462c0
15113240c5cdb60
hex7f85f563e0c0

140213324341440 has 448 divisors, whose sum is σ = 598557725107200. Its totient is φ = 30163538460672.

The previous prime is 140213324341397. The next prime is 140213324341579. The reversal of 140213324341440 is 44143423312041.

140213324341440 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 133 + 2 + 43 + 41 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 = 140213324341395 and 140213324341404.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67158370 + ... + 69214689.

Almost surely, 2140213324341440 is an apocalyptic number.

140213324341440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140213324341440 is an abundant number, since it is smaller than the sum of its proper divisors (458344400765760).

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

140213324341440 is a wasteful number, since it uses less digits than its factorization.

140213324341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136373109 (or 136373093 counting only the distinct ones).

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

Adding to 140213324341440 its reverse (44143423312041), we get a palindrome (184356747653481).

The spelling of 140213324341440 in words is "one hundred forty trillion, two hundred thirteen billion, three hundred twenty-four million, three hundred forty-one thousand, four hundred forty".