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444232012222131 = 3729227919012281
BaseRepresentation
bin110010100000001101101001…
…1010010010100111010110011
32011020220011110201210220002120
41211000123103102110322303
5431211244130112102011
64212445211420245323
7162366463246243050
oct14500332322247263
92136804421726076
10444232012222131
11119600813881861
12419a71820a0843
13160b4b8c15b683
147b9ad3090a027
15365576287ca06
hex19406d3494eb3

444232012222131 has 48 divisors (see below), whose sum is σ = 701323384339968. Its totient is φ = 245005681132800.

The previous prime is 444232012222111. The next prime is 444232012222157. The reversal of 444232012222131 is 131222210232444.

It is not a de Polignac number, because 444232012222131 - 26 = 444232012222067 is a prime.

It is a super-2 number, since 2×4442320122221312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444232012222092 and 444232012222101.

It is not an unprimeable number, because it can be changed into a prime (444232012222111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44785711 + ... + 53797991.

It is an arithmetic number, because the mean of its divisors is an integer number (14610903840416).

Almost surely, 2444232012222131 is an apocalyptic number.

444232012222131 is a deficient number, since it is larger than the sum of its proper divisors (257091372117837).

444232012222131 is a wasteful number, since it uses less digits than its factorization.

444232012222131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9015140 (or 9015111 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 444232012222131 its reverse (131222210232444), we get a palindrome (575454222454575).

The spelling of 444232012222131 in words is "four hundred forty-four trillion, two hundred thirty-two billion, twelve million, two hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 7 21 29 87 203 609 841 2523 2791 5887 8373 17661 19537 58611 80939 242817 566573 1699719 2347231 7041693 9012281 16430617 27036843 49291851 63085967 189257901 261356149 784068447 1829493043 5488479129 7579328321 22737984963 25153276271 53055298247 75459828813 159165894741 176072933897 528218801691 729445011859 2188335035577 5106115083013 15318345249039 21153905343911 63461716031733 148077337407377 444232012222131