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141122110223440 = 24531374343382601
BaseRepresentation
bin100000000101100110001101…
…001111111111010001010000
3200111200010211111121000221101
4200011212031033333101100
5121444121040204122230
61220050334043234144
741503510306564333
oct4005461517772120
9614603744530841
10141122110223440
1140a696071a2375
12139b24b1218954
1360989b1120908
1426bc4bd02861a
15114ad9b0deaca
hex80598d3ff450

141122110223440 has 320 divisors, whose sum is σ = 356762737723392. Its totient is φ = 51794878464000.

The previous prime is 141122110223371. The next prime is 141122110223441. The reversal of 141122110223440 is 44322011221141.

It is a junction number, because it is equal to n+sod(n) for n = 141122110223399 and 141122110223408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141122110223441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1708438140 + ... + 1708520740.

Almost surely, 2141122110223440 is an apocalyptic number.

141122110223440 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 141122110223440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178381368861696).

141122110223440 is an abundant number, since it is smaller than the sum of its proper divisors (215640627499952).

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

141122110223440 is a wasteful number, since it uses less digits than its factorization.

141122110223440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83158 (or 83152 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 141122110223440 its reverse (44322011221141), we get a palindrome (185444121444581).

The spelling of 141122110223440 in words is "one hundred forty-one trillion, one hundred twenty-two billion, one hundred ten million, two hundred twenty-three thousand, four hundred forty".