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42406210050414 = 23717193307732907
BaseRepresentation
bin10011010010001011101110…
…00101100001100101101110
312120010222211200122110221120
421221011313011201211232
521024240404233103124
6230105051032241410
711634514263025050
oct1151056705414556
9176128750573846
1042406210050414
111256a411056021
12490a735b40266
131a87b71bcb9c2
14a68685bb78d0
154d81398bcd79
hex26917716196e

42406210050414 has 64 divisors (see below), whose sum is σ = 103161918214656. Its totient is φ = 11344265846784.

The previous prime is 42406210050367. The next prime is 42406210050427. The reversal of 42406210050414 is 41405001260424.

42406210050414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 153728652 + ... + 154004255.

It is an arithmetic number, because the mean of its divisors is an integer number (1611904972104).

Almost surely, 242406210050414 is an apocalyptic number.

42406210050414 is an abundant number, since it is smaller than the sum of its proper divisors (60755708164242).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42406210050414 is a wasteful number, since it uses less digits than its factorization.

42406210050414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307733129.

The product of its (nonzero) digits is 30720, while the sum is 33.

The spelling of 42406210050414 in words is "forty-two trillion, four hundred six billion, two hundred ten million, fifty thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 193 238 357 386 579 714 1158 1351 2702 3281 4053 6562 8106 9843 19686 22967 45934 68901 137802 307732907 615465814 923198721 1846397442 2154130349 4308260698 5231459419 6462391047 10462918838 12924782094 15694378257 31388756514 36620215933 59392451051 73240431866 109860647799 118784902102 178177353153 219721295598 356354706306 415747157357 831494314714 1009671667867 1247241472071 2019343335734 2494482944142 3029015003601 6058030007202 7067701675069 14135403350138 21203105025207 42406210050414