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42000221212340 = 22516553126865889
BaseRepresentation
bin10011000110010111100000…
…10001000000111010110100
312111201011220122000121120012
421203023300101000322310
521001112423112243330
6225154345114355352
711563262430604526
oct1143136021007264
9174634818017505
1042000221212340
1112423214a26a76
124863b1112bb58
131a587b09022c1
14a52b704ada16
154cc7c7343c95
hex2632f0440eb4

42000221212340 has 24 divisors (see below), whose sum is σ = 88205793608520. Its totient is φ = 16799073425408.

The previous prime is 42000221212331. The next prime is 42000221212409. The reversal of 42000221212340 is 4321212200024.

It can be written as a sum of positive squares in 4 ways, for example, as 23271632068624 + 18728589143716 = 4824068^2 + 4327654^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63101885 + ... + 63764004.

It is an arithmetic number, because the mean of its divisors is an integer number (3675241400355).

Almost surely, 242000221212340 is an apocalyptic number.

It is an amenable number.

42000221212340 is an abundant number, since it is smaller than the sum of its proper divisors (46205572396180).

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

42000221212340 is a wasteful number, since it uses less digits than its factorization.

42000221212340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126882451 (or 126882449 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 42000221212340 its reverse (4321212200024), we get a palindrome (46321433412364).

The spelling of 42000221212340 in words is "forty-two trillion, two hundred twenty-one million, two hundred twelve thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 16553 33106 66212 82765 165530 331060 126865889 253731778 507463556 634329445 1268658890 2537317780 2100011060617 4200022121234 8400044242468 10500055303085 21000110606170 42000221212340