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143640242001 = 3846792
BaseRepresentation
bin1000010111000110100…
…0000010011101010001
3111201202112110100000000
42011301220002131101
54323133400221001
6145553140520213
713243352624514
oct2056150023521
9451675410000
10143640242001
1155a10198903
1223a089b0069
1310711ac1b49
146d48c94d7b
153b0a5d1a86
hex2171a02751

143640242001 has 27 divisors (see below), whose sum is σ = 215495472361. Its totient is φ = 95739695388.

The previous prime is 143640241991. The next prime is 143640242021. The reversal of 143640242001 is 100242046341.

It is a happy number.

The square root of 143640242001 is 378999.

It is a perfect power (a square), and thus also a powerful number.

143640242001 is a `hidden beast` number, since 1 + 436 + 4 + 0 + 24 + 200 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 143640242001 - 237 = 6201288529 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (143640242021) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30696580 + ... + 30701258.

Almost surely, 2143640242001 is an apocalyptic number.

143640242001 is the 378999-th square number.

143640242001 is the 189500-th centered octagonal number.

It is an amenable number.

143640242001 is a deficient number, since it is larger than the sum of its proper divisors (71855230360).

143640242001 is an frugal number, since it uses more digits than its factorization.

143640242001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9382 (or 4682 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 143640242001 its reverse (100242046341), we get a palindrome (243882288342).

It can be divided in two parts, 143640 and 242001, that added together give a square (385641 = 6212).

The spelling of 143640242001 in words is "one hundred forty-three billion, six hundred forty million, two hundred forty-two thousand, one".

Divisors: 1 3 9 27 81 243 729 2187 4679 6561 14037 42111 126333 378999 1136997 3410991 10232973 21893041 30698919 65679123 197037369 591112107 1773336321 5320008963 15960026889 47880080667 143640242001