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44213153030432 = 252955793853933
BaseRepresentation
bin10100000110110001011010…
…10001111110000100100000
312210112201212122122120111022
422003120231101332010200
521243342014133433212
6234011124143305012
712212203101652301
oct1203305521760440
9183481778576438
1044213153030432
11130a6769284321
124b6097b5ab168
131b893896a43b9
14acbcdc6dc7a8
1551a143c2a772
hex28362d47e120

44213153030432 has 48 divisors (see below), whose sum is σ = 90047903896440. Its totient is φ = 21343873216512.

The previous prime is 44213153030399. The next prime is 44213153030437. The reversal of 44213153030432 is 23403035131244.

It can be written as a sum of positive squares in 4 ways, for example, as 29535703224976 + 14677449805456 = 5434676^2 + 3831116^2 .

It is a super-3 number, since 3×442131530304323 (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44213153030392 and 44213153030401.

It is not an unprimeable number, because it can be changed into a prime (44213153030437) by changing a digit.

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, 51348938 + ... + 52202870.

Almost surely, 244213153030432 is an apocalyptic number.

It is an amenable number.

44213153030432 is an abundant number, since it is smaller than the sum of its proper divisors (45834750866008).

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

44213153030432 is a wasteful number, since it uses less digits than its factorization.

44213153030432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909765 (or 909757 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 35.

Adding to 44213153030432 its reverse (23403035131244), we get a palindrome (67616188161676).

The spelling of 44213153030432 in words is "forty-four trillion, two hundred thirteen billion, one hundred fifty-three million, thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 55793 111586 223172 446344 853933 892688 1617997 1707866 1785376 3235994 3415732 6471988 6831464 12943976 13662928 24764057 25887952 27325856 49528114 51775904 99056228 198112456 396224912 792449824 47643483869 95286967738 190573935476 381147870952 762295741904 1381661032201 1524591483808 2763322064402 5526644128804 11053288257608 22106576515216 44213153030432