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444431221002 = 23267715190377
BaseRepresentation
bin1100111011110100010…
…10100100000100001010
31120111011011202020221200
412131322022210010022
524240143343033002
6540100251245030
744052264022326
oct6357212440412
91514134666850
10444431221002
1116153392435a
1272173149776
1332ba9765562
1417721094986
15b862434b1c
hex677a2a410a

444431221002 has 48 divisors (see below), whose sum is σ = 991071536832. Its totient is φ = 143877222720.

The previous prime is 444431220997. The next prime is 444431221027. The reversal of 444431221002 is 200122134444.

444431221002 is a `hidden beast` number, since 4 + 4 + 4 + 431 + 221 + 0 + 0 + 2 = 666.

It is a super-2 number, since 2×4444312210022 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2509563 + ... + 2680814.

It is an arithmetic number, because the mean of its divisors is an integer number (20647323684).

Almost surely, 2444431221002 is an apocalyptic number.

444431221002 is an abundant number, since it is smaller than the sum of its proper divisors (546640315830).

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

444431221002 is a wasteful number, since it uses less digits than its factorization.

444431221002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5190523 (or 5190520 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 444431221002 its reverse (200122134444), we get a palindrome (644553355446).

The spelling of 444431221002 in words is "four hundred forty-four billion, four hundred thirty-one million, two hundred twenty-one thousand, two".

Divisors: 1 2 3 6 9 18 67 71 134 142 201 213 402 426 603 639 1206 1278 4757 9514 14271 28542 42813 85626 5190377 10380754 15571131 31142262 46713393 93426786 347755259 368516767 695510518 737033534 1043265777 1105550301 2086531554 2211100602 3129797331 3316650903 6259594662 6633301806 24690623389 49381246778 74071870167 148143740334 222215610501 444431221002