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442446400490 = 251373174492269
BaseRepresentation
bin1100111000000111101…
…11000100101111101010
31120022000211221221001212
412130003313010233222
524222112234303430
6535131305513122
743652143231523
oct6340367045752
91508024857055
10442446400490
11160705505326
12718ba4a27a2
13329514a4453
14175b362b84a
15b79806eb95
hex6703dc4bea

442446400490 has 64 divisors (see below), whose sum is σ = 806895108000. Its totient is φ = 174665465856.

The previous prime is 442446400489. The next prime is 442446400507. The reversal of 442446400490 is 94004644244.

It can be written as a sum of positive squares in 16 ways, for example, as 8635799041 + 433810601449 = 92929^2 + 658643^2 .

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, 194995076 + ... + 194997344.

Almost surely, 2442446400490 is an apocalyptic number.

442446400490 is a deficient number, since it is larger than the sum of its proper divisors (364448707510).

442446400490 is a wasteful number, since it uses less digits than its factorization.

442446400490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3179.

The product of its (nonzero) digits is 442368, while the sum is 41.

The spelling of 442446400490 in words is "four hundred forty-two billion, four hundred forty-six million, four hundred thousand, four hundred ninety".

Divisors: 1 2 5 10 137 274 317 449 634 685 898 1370 1585 2245 2269 3170 4490 4538 11345 22690 43429 61513 86858 123026 142333 217145 284666 307565 310853 434290 615130 621706 711665 719273 1018781 1423330 1438546 1554265 2037562 3108530 3596365 5093905 7192730 10187810 19499621 38999242 97498105 98540401 139572997 194996210 197080802 279145994 322953577 492702005 645907154 697864985 985404010 1395729970 1614767885 3229535770 44244640049 88489280098 221223200245 442446400490