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141001122323040 = 2535731519376053
BaseRepresentation
bin100000000011110101100001…
…110011110001101001100000
3200111020120112122111212212020
4200003311201303301221200
5121440130244303314130
61215515004340501440
741461665153444000
oct4003654163615140
9614216478455766
10141001122323040
1140a22270729041
1213992b666aa880
13608a46c3747c5
1426b66c2804000
151147b69547e10
hex803d61cf1a60

141001122323040 has 768 divisors, whose sum is σ = 522036206899200. Its totient is φ = 31975940505600.

The previous prime is 141001122323023. The next prime is 141001122323059. The reversal of 141001122323040 is 40323221100141.

It is a super-2 number, since 2×1410011223230402 (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 self number, because there is not a number n which added to its sum of digits gives 141001122323040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23294416654 + ... + 23294422706.

It is an arithmetic number, because the mean of its divisors is an integer number (679734644400).

Almost surely, 2141001122323040 is an apocalyptic number.

141001122323040 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 141001122323040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261018103449600).

141001122323040 is an abundant number, since it is smaller than the sum of its proper divisors (381035084576160).

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

141001122323040 is a wasteful number, since it uses less digits than its factorization.

141001122323040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7180 (or 7158 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 141001122323040 its reverse (40323221100141), we get a palindrome (181324343423181).

The spelling of 141001122323040 in words is "one hundred forty-one trillion, one billion, one hundred twenty-two million, three hundred twenty-three thousand, forty".