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420414131442234 = 23437275412239753
BaseRepresentation
bin101111110010111010100101…
…0111101101001001000111010
32001010120012100200002122012210
41133211311022331221020322
5420101031120122122414
64050051330303115550
7154360630045102266
oct13745651275511072
92033505320078183
10420414131442234
11111a586a5030806
123b19b0a9ba2bb6
1315077b61a80a57
1475b621c7990a6
153390e0a306e59
hex17e5d4af6923a

420414131442234 has 32 divisors (see below), whose sum is σ = 860383975264704. Its totient is φ = 136878770286720.

The previous prime is 420414131442167. The next prime is 420414131442251. The reversal of 420414131442234 is 432244131414024.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 420414131442192 and 420414131442201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186585702 + ... + 188825454.

It is an arithmetic number, because the mean of its divisors is an integer number (26886999227022).

Almost surely, 2420414131442234 is an apocalyptic number.

420414131442234 is an abundant number, since it is smaller than the sum of its proper divisors (439969843822470).

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

420414131442234 is a wasteful number, since it uses less digits than its factorization.

420414131442234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2967342.

The product of its (nonzero) digits is 294912, while the sum is 39.

Adding to 420414131442234 its reverse (432244131414024), we get a palindrome (852658262856258).

The spelling of 420414131442234 in words is "four hundred twenty trillion, four hundred fourteen billion, one hundred thirty-one million, four hundred forty-two thousand, two hundred thirty-four".

Divisors: 1 2 3 6 43 86 129 258 727541 1455082 2182623 2239753 4365246 4479506 6719259 13438518 31284263 62568526 93852789 96309379 187705578 192618758 288928137 577856274 1629512137373 3259024274746 4888536412119 9777072824238 70069021907039 140138043814078 210207065721117 420414131442234