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140153213200 = 245271113350033
BaseRepresentation
bin1000001010000111001…
…0000101000100010000
3111101202111222220202011
42002201302011010100
54244013210310300
6144215133432304
713061061441010
oct2024162050420
9441674886664
10140153213200
1154490920520
12231b503b694
13102a75475b0
146ad7b11c40
1539a43d7eba
hex20a1c85110

140153213200 has 240 divisors, whose sum is σ = 452098313856. Its totient is φ = 40323686400.

The previous prime is 140153213191. The next prime is 140153213219. The reversal of 140153213200 is 2312351041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225384 + ... + 575416.

Almost surely, 2140153213200 is an apocalyptic number.

140153213200 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 140153213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226049156928).

140153213200 is an abundant number, since it is smaller than the sum of its proper divisors (311945100656).

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

140153213200 is a wasteful number, since it uses less digits than its factorization.

140153213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350082 (or 350071 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 140153213200 its reverse (2312351041), we get a palindrome (142465564241).

It can be divided in two parts, 140153 and 213200, that added together give a palindrome (353353).

The spelling of 140153213200 in words is "one hundred forty billion, one hundred fifty-three million, two hundred thirteen thousand, two hundred".