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40020402601 = 192105292
BaseRepresentation
bin100101010001011001…
…101110000110101001
310211022002110002121101
4211101121232012221
51123430210340401
630215104041401
72614512544414
oct452131560651
9124262402541
1040020402601
1115a775238a3
12790a903261
133a0a376cca
141d1919cb7b
1510936b7101
hex95166e1a9

40020402601 has 9 divisors (see below), whose sum is σ = 42241611351. Its totient is φ = 37910464704.

The previous prime is 40020402577. The next prime is 40020402637. The reversal of 40020402601 is 10620402004.

The square root of 40020402601 is 200051.

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

It can be written as a sum of positive squares in only one way, i.e., 32381642601 + 7638760000 = 179949^2 + 87400^2 .

It is not a de Polignac number, because 40020402601 - 29 = 40020402089 is a prime.

It is a super-2 number, since 2×400204026012 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40020402641) 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 8 ways as a sum of consecutive naturals, for example, 3795705 + ... + 3806233.

Almost surely, 240020402601 is an apocalyptic number.

40020402601 is the 200051-st square number.

40020402601 is the 100026-th centered octagonal number.

It is an amenable number.

40020402601 is a deficient number, since it is larger than the sum of its proper divisors (2221208750).

40020402601 is an frugal number, since it uses more digits than its factorization.

40020402601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21096 (or 10548 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 40020402601 its reverse (10620402004), we get a palindrome (50640804605).

The spelling of 40020402601 in words is "forty billion, twenty million, four hundred two thousand, six hundred one".

Divisors: 1 19 361 10529 200051 3800969 110859841 2106336979 40020402601