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140240021101400 = 23521123294713731481
BaseRepresentation
bin11111111000110000101100…
…101001000001101101011000
3200101112211000012021211021102
4133320300230221001231120
5121340143030400221100
61214133213140130532
741353002313011023
oct3770605451015530
9611484005254242
10140240021101400
1140759505953260
121388b557396a48
13603376728c95c
14268b9206b01ba
151132e71214cd5
hex7f8c2ca41b58

140240021101400 has 768 divisors, whose sum is σ = 392683695206400. Its totient is φ = 46030358528000.

The previous prime is 140240021101393. The next prime is 140240021101409. The reversal of 140240021101400 is 4101120042041.

It is a super-2 number, since 2×1402400211014002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140240021101409) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 94692788660 + ... + 94692790140.

It is an arithmetic number, because the mean of its divisors is an integer number (511306894800).

Almost surely, 2140240021101400 is an apocalyptic number.

140240021101400 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 140240021101400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196341847603200).

140240021101400 is an abundant number, since it is smaller than the sum of its proper divisors (252443674105000).

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

140240021101400 is a wasteful number, since it uses less digits than its factorization.

140240021101400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2980 (or 2971 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 140240021101400 its reverse (4101120042041), we get a palindrome (144341141143441).

The spelling of 140240021101400 in words is "one hundred forty trillion, two hundred forty billion, twenty-one million, one hundred one thousand, four hundred".