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42400220029 is a prime number
BaseRepresentation
bin100111011111010000…
…000000001101111101
311001102221111100101121
4213133100000031331
51143313424020104
631251155510541
73030500631556
oct473720001575
9131387440347
1042400220029
1116a88900962
1282738b8451
133cc94173bb
1420a328732d
1511825a3254
hex9df40037d

42400220029 has 2 divisors, whose sum is σ = 42400220030. Its totient is φ = 42400220028.

The previous prime is 42400219973. The next prime is 42400220033. The reversal of 42400220029 is 92002200424.

It is a happy number.

42400220029 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42352816804 + 47403225 = 205798^2 + 6885^2 .

It is a cyclic number.

It is not a de Polignac number, because 42400220029 - 215 = 42400187261 is a prime.

It is a super-2 number, since 2×424002200292 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42400219985 and 42400220012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42400220329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21200110014 + 21200110015.

It is an arithmetic number, because the mean of its divisors is an integer number (21200110015).

Almost surely, 242400220029 is an apocalyptic number.

It is an amenable number.

42400220029 is a deficient number, since it is larger than the sum of its proper divisors (1).

42400220029 is an equidigital number, since it uses as much as digits as its factorization.

42400220029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 25.

The spelling of 42400220029 in words is "forty-two billion, four hundred million, two hundred twenty thousand, twenty-nine".