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141982560720 = 243457211135359
BaseRepresentation
bin1000010000111011010…
…0011111000111010000
3111120111000020101210000
42010032310133013100
54311240013420340
6145120443010000
713154313565500
oct2041664370720
9446430211700
10141982560720
115523a4aa380
1223625809900
1310509541650
146c2ca67a00
153a5ecdbd30
hex210ed1f1d0

141982560720 has 2400 divisors, whose sum is σ = 698276557440. Its totient is φ = 26266705920.

The previous prime is 141982560703. The next prime is 141982560721. The reversal of 141982560720 is 27065289141.

141982560720 is a `hidden beast` number, since 1 + 4 + 1 + 9 + 82 + 560 + 7 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141982560721) by changing a digit.

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 479 ways as a sum of consecutive naturals, for example, 2406484051 + ... + 2406484109.

Almost surely, 2141982560720 is an apocalyptic number.

141982560720 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 141982560720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349138278720).

141982560720 is an abundant number, since it is smaller than the sum of its proper divisors (556293996720).

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

141982560720 is a wasteful number, since it uses less digits than its factorization.

141982560720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 141982560720 in words is "one hundred forty-one billion, nine hundred eighty-two million, five hundred sixty thousand, seven hundred twenty".