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442301202003132 = 223341939172495323
BaseRepresentation
bin110010010010001010100011…
…0000001110111010010111100
32011000001120201020202002111000
41210210111012001313102330
5430433130330203100012
64204410211144330300
7162110131052210103
oct14444250601672274
92130046636662430
10442301202003132
11118a2698284256a
1241734b29773990
1315ca4a94221624
147b316c720703a
153620408cbaddc
hex19245460774bc

442301202003132 has 96 divisors (see below), whose sum is σ = 1149737501203200. Its totient is φ = 147044254965696.

The previous prime is 442301202003107. The next prime is 442301202003173. The reversal of 442301202003132 is 231300202103244.

442301202003132 is a `hidden beast` number, since 4 + 4 + 2 + 301 + 20 + 20 + 0 + 313 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 442301202003096 and 442301202003105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176004423 + ... + 178499745.

It is an arithmetic number, because the mean of its divisors is an integer number (11976432304200).

Almost surely, 2442301202003132 is an apocalyptic number.

It is an amenable number.

442301202003132 is an abundant number, since it is smaller than the sum of its proper divisors (707436299200068).

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

442301202003132 is a wasteful number, since it uses less digits than its factorization.

442301202003132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2499672 (or 2499664 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 442301202003132 its reverse (231300202103244), we get a palindrome (673601404106376).

The spelling of 442301202003132 in words is "four hundred forty-two trillion, three hundred one billion, two hundred two million, three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 419 838 1257 1676 2514 3771 3917 5028 7542 7834 11313 11751 15084 15668 22626 23502 35253 45252 47004 70506 105759 141012 211518 423036 1641223 2495323 3282446 4923669 4990646 6564892 7485969 9847338 9981292 14771007 14971938 19694676 22457907 29542014 29943876 44313021 44915814 59084028 67373721 88626042 89831628 134747442 177252084 269494884 1045540337 2091080674 3136621011 4182161348 6273242022 9409863033 9774180191 12546484044 18819726066 19548360382 28229589099 29322540573 37639452132 39096720764 56459178198 58645081146 87967621719 112918356396 117290162292 175935243438 263902865157 351870486876 527805730314 1055611460628 4095381500029 8190763000058 12286144500087 16381526000116 24572289000174 36858433500261 49144578000348 73716867000522 110575300500783 147433734001044 221150601001566 442301202003132