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420413030433 = 331142110613169
BaseRepresentation
bin1100001111000101001…
…00011100000000100001
31111012011022021202111000
412013202210130000201
523342001213433213
6521045102142213
742242140540164
oct6074244340041
91435138252430
10420413030433
11152329217290
126958b581969
133084c76a586
14164c3281adb
15ae08a4dc73
hex61e291c021

420413030433 has 64 divisors (see below), whose sum is σ = 681926342400. Its totient is φ = 253870848000.

The previous prime is 420413030423. The next prime is 420413030459. The reversal of 420413030433 is 334030314024.

It is not a de Polignac number, because 420413030433 - 213 = 420413022241 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 420413030397 and 420413030406.

It is not an unprimeable number, because it can be changed into a prime (420413030413) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132662673 + ... + 132665841.

It is an arithmetic number, because the mean of its divisors is an integer number (10655099100).

Almost surely, 2420413030433 is an apocalyptic number.

It is an amenable number.

420413030433 is a deficient number, since it is larger than the sum of its proper divisors (261513311967).

420413030433 is a wasteful number, since it uses less digits than its factorization.

420413030433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4671 (or 4665 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 420413030433 its reverse (334030314024), we get a palindrome (754443344457).

The spelling of 420413030433 in words is "four hundred twenty billion, four hundred thirteen million, thirty thousand, four hundred thirty-three".

Divisors: 1 3 9 11 27 33 99 297 421 1061 1263 3169 3183 3789 4631 9507 9549 11367 11671 13893 28521 28647 34859 35013 41679 85563 104577 105039 125037 313731 315117 446681 941193 1334149 1340043 3362309 4002447 4020129 4913491 10086927 12007341 12060387 14675639 14740473 30260781 36022023 36985399 44026917 44221419 90782343 110956197 132080751 132664257 332868591 396242253 998605773 1415532089 4246596267 12739788801 15570852979 38219366403 46712558937 140137676811 420413030433