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420520350042 = 2321331371566779
BaseRepresentation
bin1100001111010001111…
…01110101000101011010
31111012102210020011022100
412013220331311011122
523342211202200132
6521103454304230
742244612666302
oct6075075650532
91435383204270
10420520350042
11152383858081
12695bb4b8076
1330868a748c0
14164d361a602
15ae1319c37c
hex61e8f7515a

420520350042 has 96 divisors (see below), whose sum is σ = 1040241646080. Its totient is φ = 121832657280.

The previous prime is 420520350037. The next prime is 420520350049. The reversal of 420520350042 is 240053025024.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 420520349988 and 420520350015.

It is not an unprimeable number, because it can be changed into a prime (420520350049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 514992 + ... + 1051787.

It is an arithmetic number, because the mean of its divisors is an integer number (10835850480).

Almost surely, 2420520350042 is an apocalyptic number.

420520350042 is an abundant number, since it is smaller than the sum of its proper divisors (619721296038).

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

420520350042 is a wasteful number, since it uses less digits than its factorization.

420520350042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566868 (or 1566865 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 420520350042 its reverse (240053025024), we get a palindrome (660573375066).

The spelling of 420520350042 in words is "four hundred twenty billion, five hundred twenty million, three hundred fifty thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 31 37 39 62 74 78 93 111 117 186 222 234 279 333 403 481 558 666 806 962 1147 1209 1443 2294 2418 2886 3441 3627 4329 6882 7254 8658 10323 14911 20646 29822 44733 89466 134199 268398 1566779 3133558 4700337 9400674 14101011 20368127 28202022 40736254 48570149 57970823 61104381 97140298 115941646 122208762 145710447 173912469 183313143 291420894 347824938 366626286 437131341 521737407 631411937 753620699 874262682 1043474814 1262823874 1507241398 1797095513 1894235811 2260862097 3594191026 3788471622 4521724194 5391286539 5682707433 6782586291 10782573078 11365414866 13565172582 16173859617 23362241669 32347719234 46724483338 70086725007 140173450014 210260175021 420520350042