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40002000025 = 521321721812
BaseRepresentation
bin100101010000010011…
…100001010010011001
310211020210211011000111
4211100103201102121
51123411003000100
630213205404321
72614200250531
oct452023412231
9124223734014
1040002000025
1115a680a4759
1279047096a1
133a06602a00
141d1696c4c1
151091c7e6ba
hex9504e1499

40002000025 has 81 divisors (see below), whose sum is σ = 57373891173. Its totient is φ = 27648691200.

The previous prime is 40001999987. The next prime is 40002000029. The reversal of 40002000025 is 52000020004.

It is a happy number.

The square root of 40002000025 is 200005.

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

It can be written as a sum of positive squares in 40 ways, for example, as 14785830409 + 25216169616 = 121597^2 + 158796^2 .

It is not a de Polignac number, because 40002000025 - 219 = 40001475737 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 40001999969 and 40002000014.

It is not an unprimeable number, because it can be changed into a prime (40002000029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 221005435 + ... + 221005615.

Almost surely, 240002000025 is an apocalyptic number.

40002000025 is the 200005-th square number.

40002000025 is the 100003-rd centered octagonal number.

It is an amenable number.

40002000025 is a deficient number, since it is larger than the sum of its proper divisors (17371891148).

40002000025 is a wasteful number, since it uses less digits than its factorization.

40002000025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

Adding to 40002000025 its reverse (52000020004), we get a palindrome (92002020029).

The spelling of 40002000025 in words is "forty billion, two million, twenty-five", and thus it is an aban number and an uban number.

Divisors: 1 5 13 17 25 65 85 169 181 221 289 325 425 845 905 1105 1445 2353 2873 3077 3757 4225 4525 5525 7225 11765 14365 15385 18785 30589 32761 40001 48841 52309 58825 71825 76925 93925 152945 163805 200005 244205 261545 425893 520013 556937 680017 764725 819025 1000025 1221025 1307725 2129465 2600065 2784685 3400085 5536609 7240181 8840221 9467929 10647325 13000325 13923425 17000425 27683045 36200905 44201105 47339645 94122353 123083077 138415225 181004525 221005525 236698225 470611765 615415385 1600080001 2353058825 3077076925 8000400005 40002000025