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420433135642146 = 231137349493316737
BaseRepresentation
bin101111110011000011011011…
…1101100111010011000100010
32001010122000102002212000112210
41133212012313230322120202
5420101334030211022041
64050104152141102550
7154362202016120034
oct13746066754723042
92033560362760483
10420433135642146
11111a65767445450
123b1a2912557a56
13150798a005c063
1475b7102707c54
15339166d921016
hex17e61b7b3a622

420433135642146 has 64 divisors (see below), whose sum is σ = 944800216617600. Its totient is φ = 123605441372160.

The previous prime is 420433135642099. The next prime is 420433135642151. The reversal of 420433135642146 is 641246531334024.

It is a junction number, because it is equal to n+sod(n) for n = 420433135642095 and 420433135642104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245806111 + ... + 247510626.

It is an arithmetic number, because the mean of its divisors is an integer number (14762503384650).

Almost surely, 2420433135642146 is an apocalyptic number.

420433135642146 is an abundant number, since it is smaller than the sum of its proper divisors (524367080975454).

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

420433135642146 is a wasteful number, since it uses less digits than its factorization.

420433135642146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493317139.

The product of its (nonzero) digits is 4976640, while the sum is 48.

The spelling of 420433135642146 in words is "four hundred twenty trillion, four hundred thirty-three billion, one hundred thirty-five million, six hundred forty-two thousand, one hundred forty-six".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 349 407 698 814 1047 1221 2094 2442 3839 7678 11517 12913 23034 25826 38739 77478 142043 284086 426129 852258 493316737 986633474 1479950211 2959900422 5426484107 10852968214 16279452321 18252719269 32558904642 36505438538 54758157807 109516315614 172167541213 200779911959 344335082426 401559823918 516502623639 602339735877 1033005247278 1204679471754 1893842953343 3787685906686 5681528860029 6370199024881 11363057720058 12740398049762 19110597074643 38221194149286 70072189273691 140144378547382 210216567821073 420433135642146