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402434431029 = 344968326309
BaseRepresentation
bin1011101101100101111…
…01100001100000110101
31102110202100101021120000
411312302331201200311
523043141203243104
6504513102301513
741034462136401
oct5666275414065
91373670337500
10402434431029
11145742821474
1265bb2587899
132bc45ac0a87
1415699626101
15a7054c1639
hex5db2f61835

402434431029 has 10 divisors (see below), whose sum is σ = 601167483510. Its totient is φ = 268289620632.

The previous prime is 402434430997. The next prime is 402434431031. The reversal of 402434431029 is 920134434204.

402434431029 is a `hidden beast` number, since 40 + 243 + 44 + 310 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 304075044900 + 98359386129 = 551430^2 + 313623^2 .

It is not a de Polignac number, because 402434431029 - 25 = 402434430997 is a prime.

It is a super-5 number, since 5×4024344310295 (a number of 59 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 402434430984 and 402434431002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402434431079) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2484163074 + ... + 2484163235.

It is an arithmetic number, because the mean of its divisors is an integer number (60116748351).

Almost surely, 2402434431029 is an apocalyptic number.

It is an amenable number.

402434431029 is a deficient number, since it is larger than the sum of its proper divisors (198733052481).

402434431029 is an equidigital number, since it uses as much as digits as its factorization.

402434431029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4968326321 (or 4968326312 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 402434431029 in words is "four hundred two billion, four hundred thirty-four million, four hundred thirty-one thousand, twenty-nine".

Divisors: 1 3 9 27 81 4968326309 14904978927 44714936781 134144810343 402434431029