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141000114442320 = 2432571741160724977
BaseRepresentation
bin100000000011110100100101…
…101111000001000001010000
3200111020110221102000020102200
4200003310211233001001100
5121440121213244123240
61215514320334243200
741461631164551150
oct4003644557010120
9614213842006380
10141000114442320
1140a218a3812371
1213992925056500
13608a33b608593
1426b6628a04760
151147b0ad0b930
hex803d25bc1050

141000114442320 has 960 divisors, whose sum is σ = 587370031911936. Its totient is φ = 29573374279680.

The previous prime is 141000114442307. The next prime is 141000114442333. The reversal of 141000114442320 is 23244411000141.

141000114442320 is a `hidden beast` number, since 1 + 4 + 100 + 0 + 114 + 4 + 423 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (141000114442307) and next prime (141000114442333).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5645185672 + ... + 5645210648.

Almost surely, 2141000114442320 is an apocalyptic number.

141000114442320 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 141000114442320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293685015955968).

141000114442320 is an abundant number, since it is smaller than the sum of its proper divisors (446369917469616).

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

141000114442320 is a wasteful number, since it uses less digits than its factorization.

141000114442320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26668 (or 26659 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 141000114442320 its reverse (23244411000141), we get a palindrome (164244525442461).

The spelling of 141000114442320 in words is "one hundred forty-one trillion, one hundred fourteen million, four hundred forty-two thousand, three hundred twenty".