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3434214124305 = 335414211473763
BaseRepresentation
bin110001111110010111000…
…111001110101100010001
3110011022022021202020121000
4301332113013032230101
5422231232303434210
611145353423052213
7503054012262456
oct61762707165421
913138267666530
103434214124305
111104495386068
124756a7441069
131bbaca615bc3
14bc30707582d
155e4e9bd5ac0
hex31f971ceb11

3434214124305 has 64 divisors (see below), whose sum is σ = 6269038352640. Its totient is φ = 1782662515200.

The previous prime is 3434214124303. The next prime is 3434214124399. The reversal of 3434214124305 is 5034214124343.

3434214124305 is a `hidden beast` number, since 3 + 4 + 3 + 4 + 214 + 1 + 2 + 430 + 5 = 666.

It is not a de Polignac number, because 3434214124305 - 21 = 3434214124303 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3434214124305.

It is not an unprimeable number, because it can be changed into a prime (3434214124303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1593354 + ... + 3067116.

It is an arithmetic number, because the mean of its divisors is an integer number (97953724260).

Almost surely, 23434214124305 is an apocalyptic number.

It is an amenable number.

3434214124305 is a deficient number, since it is larger than the sum of its proper divisors (2834824228335).

3434214124305 is a wasteful number, since it uses less digits than its factorization.

3434214124305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474239 (or 1474233 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 3434214124305 its reverse (5034214124343), we get a palindrome (8468428248648).

The spelling of 3434214124305 in words is "three trillion, four hundred thirty-four billion, two hundred fourteen million, one hundred twenty-four thousand, three hundred five".

Divisors: 1 3 5 9 15 27 41 45 123 135 205 369 421 615 1107 1263 1845 2105 3789 5535 6315 11367 17261 18945 51783 56835 86305 155349 258915 466047 776745 1473763 2330235 4421289 7368815 13263867 22106445 39791601 60424283 66319335 181272849 198958005 302121415 543818547 620454223 906364245 1631455641 1861362669 2719092735 3102271115 5584088007 8157278205 9306813345 16752264021 25438623143 27920440035 76315869429 83761320105 127193115715 228947608287 381579347145 686842824861 1144738041435 3434214124305