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140213324310000 = 243547399764217
BaseRepresentation
bin11111111000010111110101…
…011000110110010111110000
3200101110021002122120022020120
4133320113311120312113300
5121334223342010410000
61214113040103210240
741351035613016654
oct3770276530662760
9611407078508216
10140213324310000
1140749156245797
1213886346746980
1360310a1361476
14268a50ac38a64
15113240c5c46a0
hex7f85f56365f0

140213324310000 has 400 divisors, whose sum is σ = 459295040465184. Its totient is φ = 36840462336000.

The previous prime is 140213324309953. The next prime is 140213324310067. The reversal of 140213324310000 is 13423312041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×1402133243100002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2183397892 + ... + 2183462108.

Almost surely, 2140213324310000 is an apocalyptic number.

140213324310000 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 140213324310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229647520232592).

140213324310000 is an abundant number, since it is smaller than the sum of its proper divisors (319081716155184).

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

140213324310000 is an equidigital number, since it uses as much as digits as its factorization.

140213324310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65318 (or 65297 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 140213324310000 its reverse (13423312041), we get a palindrome (140226747622041).

The spelling of 140213324310000 in words is "one hundred forty trillion, two hundred thirteen billion, three hundred twenty-four million, three hundred ten thousand".