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320400041409 = 32723421525221
BaseRepresentation
bin1001010100110010101…
…01001010010111000001
31010122000020012111122100
410222121111022113001
520222134402311114
6403104552501013
732101545262620
oct4523125122701
91118006174570
10320400041409
1111397651a358
12521193aa769
13242a1360926
14117165dd6b7
1585035ea909
hex4a9954a5c1

320400041409 has 48 divisors (see below), whose sum is σ = 553222635264. Its totient is φ = 174709180800.

The previous prime is 320400041407. The next prime is 320400041411. The reversal of 320400041409 is 904140004023.

It is an interprime number because it is at equal distance from previous prime (320400041407) and next prime (320400041411).

It is not a de Polignac number, because 320400041409 - 21 = 320400041407 is a prime.

It is not an unprimeable number, because it can be changed into a prime (320400041407) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 347419 + ... + 872639.

It is an arithmetic number, because the mean of its divisors is an integer number (11525471568).

Almost surely, 2320400041409 is an apocalyptic number.

It is an amenable number.

320400041409 is a deficient number, since it is larger than the sum of its proper divisors (232822593855).

320400041409 is a wasteful number, since it uses less digits than its factorization.

320400041409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525678 (or 525675 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 320400041409 in words is "three hundred twenty billion, four hundred million, forty-one thousand, four hundred nine".

Divisors: 1 3 7 9 21 23 63 69 161 207 421 483 1263 1449 2947 3789 8841 9683 26523 29049 67781 87147 203343 525221 610029 1575663 3676547 4726989 11029641 12080083 33088923 36240249 84560581 108720747 221118041 253681743 663354123 761045229 1547826287 1990062369 4643478861 5085714943 13930436583 15257144829 35600004601 45771434487 106800013803 320400041409