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141575386680 = 2336571353353
BaseRepresentation
bin1000001111011010001…
…1001111011000111000
3111112102122001211000000
42003312203033120320
54304421244333210
6145012215513000
713141240634250
oct2036643173070
9445378054000
10141575386680
1155050684502
1223531388760
131047308a870
146bd0956960
153a391acac0
hex20f68cf638

141575386680 has 448 divisors, whose sum is σ = 587824493760. Its totient is φ = 29870290944.

The previous prime is 141575386663. The next prime is 141575386753. The reversal of 141575386680 is 86683575141.

It is a happy number.

141575386680 is a `hidden beast` number, since 1 + 4 + 1 + 575 + 3 + 8 + 6 + 68 + 0 = 666.

141575386680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1415753866802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2626884 + ... + 2680236.

It is an arithmetic number, because the mean of its divisors is an integer number (1312108245).

Almost surely, 2141575386680 is an apocalyptic number.

141575386680 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 141575386680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293912246880).

141575386680 is an abundant number, since it is smaller than the sum of its proper divisors (446249107080).

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

141575386680 is a wasteful number, since it uses less digits than its factorization.

141575386680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53402 (or 53383 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 141575386680 in words is "one hundred forty-one billion, five hundred seventy-five million, three hundred eighty-six thousand, six hundred eighty".