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394381488004 = 227231214472
BaseRepresentation
bin1011011110100101111…
…01111110111110000100
31101200222010100101110221
411233102331332332010
522430143130104004
6501102031554124
740331066223400
oct5572275767604
91350863311427
10394381488004
11142290083159
126452568b944
132b261601b2a
1415133cda100
15a3d3519354
hex5bd2f7ef84

394381488004 has 81 divisors (see below), whose sum is σ = 830155490199. Its totient is φ = 163455319440.

The previous prime is 394381487989. The next prime is 394381488029. The reversal of 394381488004 is 400884183493.

The square root of 394381488004 is 627998.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 272550409 + ... + 272551855.

Almost surely, 2394381488004 is an apocalyptic number.

394381488004 is the 627998-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 394381488004

394381488004 is an abundant number, since it is smaller than the sum of its proper divisors (435774002195).

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

394381488004 is an equidigital number, since it uses as much as digits as its factorization.

394381488004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2974 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 52.

The spelling of 394381488004 in words is "three hundred ninety-four billion, three hundred eighty-one million, four hundred eighty-eight thousand, four".

Divisors: 1 2 4 7 14 28 31 49 62 98 124 196 217 434 868 961 1447 1519 1922 2894 3038 3844 5788 6076 6727 10129 13454 20258 26908 40516 44857 47089 70903 89714 94178 141806 179428 188356 283612 313999 627998 1255996 1390567 2093809 2197993 2781134 4187618 4395986 5562268 8375236 8791972 9733969 14656663 19467938 29313326 38935876 58626652 64908079 68137783 102596641 129816158 136275566 205193282 259632316 272551132 410386564 454356553 908713106 1817426212 2012150449 3180495871 4024300898 6360991742 8048601796 12721983484 14085053143 28170106286 56340212572 98595372001 197190744002 394381488004