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426022312000 = 2653173132517
BaseRepresentation
bin1100011001100001110…
…10001001100001000000
31111201122020010210020011
412030300322021201000
523434443202441000
6523413440354304
742531141621565
oct6146072114100
91451566123204
10426022312000
1115474754157a
126a696015994
13312348c45ac
141689622486c
15b1362082ba
hex6330e89840

426022312000 has 112 divisors (see below), whose sum is σ = 1117106039088. Its totient is φ = 160384819200.

The previous prime is 426022311959. The next prime is 426022312013. The reversal of 426022312000 is 213220624.

It can be written as a sum of positive squares in 8 ways, for example, as 239833513984 + 186188798016 = 489728^2 + 431496^2 .

It is a super-3 number, since 3×4260223120003 (a number of 36 digits) contains 333 as substring.

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, 1430259 + ... + 1702258.

Almost surely, 2426022312000 is an apocalyptic number.

426022312000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

426022312000 is an abundant number, since it is smaller than the sum of its proper divisors (691083727088).

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

426022312000 is a wasteful number, since it uses less digits than its factorization.

426022312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3132561 (or 3132541 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 426022312000 its reverse (213220624), we get a palindrome (426235532624).

The spelling of 426022312000 in words is "four hundred twenty-six billion, twenty-two million, three hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 125 136 160 170 200 250 272 320 340 400 425 500 544 680 800 850 1000 1088 1360 1600 1700 2000 2125 2720 3400 4000 4250 5440 6800 8000 8500 13600 17000 27200 34000 68000 136000 3132517 6265034 12530068 15662585 25060136 31325170 50120272 53252789 62650340 78312925 100240544 106505578 125300680 156625850 200481088 213011156 250601360 266263945 313251700 391564625 426022312 501202720 532527890 626503400 783129250 852044624 1002405440 1065055780 1253006800 1331319725 1566258500 1704089248 2130111560 2506013600 2662639450 3132517000 3408178496 4260223120 5012027200 5325278900 6265034000 6656598625 8520446240 10650557800 12530068000 13313197250 17040892480 21301115600 25060136000 26626394500 42602231200 53252789000 85204462400 106505578000 213011156000 426022312000