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420732431406 = 232718979175939
BaseRepresentation
bin1100001111101011001…
…10110110110000101110
31111012222120022000020200
412013311212312300232
523343130000301111
6521140512054330
742253066442310
oct6076546666056
91435876260220
10420732431406
11152482541a31
126965a5343a6
13308a099bc31
14165138657b0
15ae26ae1256
hex61f59b6c2e

420732431406 has 48 divisors (see below), whose sum is σ = 1041874454400. Its totient is φ = 120202249104.

The previous prime is 420732431393. The next prime is 420732431419. The reversal of 420732431406 is 604134237024.

420732431406 is a `hidden beast` number, since 4 + 2 + 0 + 7 + 3 + 243 + 1 + 406 = 666.

It is an interprime number because it is at equal distance from previous prime (420732431393) and next prime (420732431419).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2303385 + ... + 2479323.

It is an arithmetic number, because the mean of its divisors is an integer number (21705717800).

Almost surely, 2420732431406 is an apocalyptic number.

420732431406 is an abundant number, since it is smaller than the sum of its proper divisors (621142022994).

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

420732431406 is a wasteful number, since it uses less digits than its factorization.

420732431406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194933 (or 194930 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 420732431406 in words is "four hundred twenty billion, seven hundred thirty-two million, four hundred thirty-one thousand, four hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 18979 37958 56937 113874 132853 170811 175939 265706 341622 351878 398559 527817 797118 1055634 1195677 1231573 1583451 2391354 2463146 3166902 3694719 7389438 11084157 22168314 3339146281 6678292562 10017438843 20034877686 23374023967 30052316529 46748047934 60104633058 70122071901 140244143802 210366215703 420732431406