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140012224013400 = 233522959353338603
BaseRepresentation
bin11111110101011100100010…
…111000000110010001011000
3200100202001000121212202120020
4133311130202320012101120
5121322430013321412100
61213440421110030440
741330356301503104
oct3765344270062130
9610661017782506
10140012224013400
114068093a387462
1213853382648420
1360181330b961b
1426808b097c904
15112c08c75b5a0
hex7f5722e06458

140012224013400 has 384 divisors, whose sum is σ = 456756042528000. Its totient is φ = 35427173877760.

The previous prime is 140012224013357. The next prime is 140012224013419. The reversal of 140012224013400 is 4310422210041.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3626958499 + ... + 3626997101.

It is an arithmetic number, because the mean of its divisors is an integer number (1189468860750).

Almost surely, 2140012224013400 is an apocalyptic number.

140012224013400 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 140012224013400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228378021264000).

140012224013400 is an abundant number, since it is smaller than the sum of its proper divisors (316743818514600).

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

140012224013400 is a wasteful number, since it uses less digits than its factorization.

140012224013400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42243 (or 42234 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 140012224013400 its reverse (4310422210041), we get a palindrome (144322646223441).

The spelling of 140012224013400 in words is "one hundred forty trillion, twelve billion, two hundred twenty-four million, thirteen thousand, four hundred".