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10042443214120 = 235337744988369
BaseRepresentation
bin1001001000100011000001…
…0000101010110100101000
31022120001022010121221000201
42102020300100222310220
52304013410430322440
633205233522241544
72054354050614322
oct222106020526450
938501263557021
1010042443214120
113221a8142aa89
121162361ab62b4
1357acc94471c5
1426a0b1da8612
1512636118a19a
hex9223042ad28

10042443214120 has 32 divisors (see below), whose sum is σ = 22662546215400. Its totient is φ = 4005057466368.

The previous prime is 10042443214033. The next prime is 10042443214123. The reversal of 10042443214120 is 2141234424001.

It can be written as a sum of positive squares in 4 ways, for example, as 4830509456964 + 5211933757156 = 2197842^2 + 2282966^2 .

It is not an unprimeable number, because it can be changed into a prime (10042443214123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 372480705 + ... + 372507664.

Almost surely, 210042443214120 is an apocalyptic number.

10042443214120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10042443214120 is an abundant number, since it is smaller than the sum of its proper divisors (12620103001280).

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

10042443214120 is a wasteful number, since it uses less digits than its factorization.

10042443214120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744988717 (or 744988713 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 10042443214120 its reverse (2141234424001), we get a palindrome (12183677638121).

The spelling of 10042443214120 in words is "ten trillion, forty-two billion, four hundred forty-three million, two hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 337 674 1348 1685 2696 3370 6740 13480 744988369 1489976738 2979953476 3724941845 5959906952 7449883690 14899767380 29799534760 251061080353 502122160706 1004244321412 1255305401765 2008488642824 2510610803530 5021221607060 10042443214120