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201042413984 = 2517369563261
BaseRepresentation
bin1011101100111100001…
…1111100100110100000
3201012220222202210122202
42323033003330212200
511243213324221414
6232205124352332
720345006215556
oct2731703744640
9635828683582
10201042413984
1178297224265
1232b688456a8
1315c5c289899
149a3270dbd6
155369c329de
hex2ecf0fc9a0

201042413984 has 24 divisors (see below), whose sum is σ = 419084739108. Its totient is φ = 94608194560.

The previous prime is 201042413981. The next prime is 201042413987. The reversal of 201042413984 is 489314240102.

It is an interprime number because it is at equal distance from previous prime (201042413981) and next prime (201042413987).

It can be written as a sum of positive squares in 2 ways, for example, as 172607011600 + 28435402384 = 415460^2 + 168628^2 .

It is not an unprimeable number, because it can be changed into a prime (201042413981) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 184781087 + ... + 184782174.

Almost surely, 2201042413984 is an apocalyptic number.

It is an amenable number.

201042413984 is an abundant number, since it is smaller than the sum of its proper divisors (218042325124).

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

201042413984 is a wasteful number, since it uses less digits than its factorization.

201042413984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369563288 (or 369563280 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The spelling of 201042413984 in words is "two hundred one billion, forty-two million, four hundred thirteen thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 369563261 739126522 1478253044 2956506088 5913012176 6282575437 11826024352 12565150874 25130301748 50260603496 100521206992 201042413984