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42221333930120 = 2353593329375041
BaseRepresentation
bin10011001100110011010111…
…00111000110000010001000
312112111022122100121111010222
421212121223213012002020
521013223242441230440
6225444114003325212
711615251004650562
oct1146315347060210
9175438570544128
1042221333930120
11124a8a70328564
12489a93b380808
131a735bacb0697
14a5d748566332
154d341907d2b5
hex26666b9c6088

42221333930120 has 32 divisors (see below), whose sum is σ = 95000648330520. Its totient is φ = 16888062996480.

The previous prime is 42221333930099. The next prime is 42221333930137. The reversal of 42221333930120 is 2103933312224.

It can be written as a sum of positive squares in 4 ways, for example, as 41877283642756 + 344050287364 = 6471266^2 + 586558^2 .

It is a super-3 number, since 3×422213339301203 (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13250201 + ... + 16124840.

Almost surely, 242221333930120 is an apocalyptic number.

42221333930120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42221333930120 is an abundant number, since it is smaller than the sum of its proper divisors (52779314400400).

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

42221333930120 is a wasteful number, since it uses less digits than its factorization.

42221333930120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29410985 (or 29410981 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 35.

The spelling of 42221333930120 in words is "forty-two trillion, two hundred twenty-one billion, three hundred thirty-three million, nine hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 35933 71866 143732 179665 287464 359330 718660 1437320 29375041 58750082 117500164 146875205 235000328 293750410 587500820 1175001640 1055533348253 2111066696506 4222133393012 5277666741265 8444266786024 10555333482530 21110666965060 42221333930120