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141808361472 = 2133571237
BaseRepresentation
bin1000010000010001101…
…1111110000000000000
3111120000212110011100000
42010010123332000000
54310410420031342
6145051301200000
713150100120121
oct2040433760000
9446025404300
10141808361472
1155160139958
1223597400000
13104ac41bb7b
146c13880048
153a4e87c44c
hex21046fe000

141808361472 has 168 divisors, whose sum is σ = 424821544056. Its totient is φ = 47268790272.

The previous prime is 141808361419. The next prime is 141808361477. The reversal of 141808361472 is 274163808141.

141808361472 is a `hidden beast` number, since 1 + 41 + 8 + 0 + 83 + 61 + 472 = 666.

It is a super-2 number, since 2×1418083614722 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141808361477) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1955038 + ... + 2026274.

It is an arithmetic number, because the mean of its divisors is an integer number (2528699667).

Almost surely, 2141808361472 is an apocalyptic number.

141808361472 is a gapful number since it is divisible by the number (12) 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 141808361472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212410772028).

141808361472 is an abundant number, since it is smaller than the sum of its proper divisors (283013182584).

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

141808361472 is an frugal number, since it uses more digits than its factorization.

141808361472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71278 (or 71242 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 141808361472 in words is "one hundred forty-one billion, eight hundred eight million, three hundred sixty-one thousand, four hundred seventy-two".