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241404314100 = 223524119626367
BaseRepresentation
bin1110000011010011010…
…0011000000111110100
3212002002212210202210020
43200310310120013310
512423344001022400
6302522152125140
723304136546005
oct3406464300764
9762085722706
10241404314100
1193419495204
123a9519967b0
13199c2300a11
14b980da51ac
15642d3a42a0
hex3834d181f4

241404314100 has 72 divisors (see below), whose sum is σ = 715498871808. Its totient is φ = 62804371200.

The previous prime is 241404314071. The next prime is 241404314101. The reversal of 241404314100 is 1413404142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241404314101) 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 23 ways as a sum of consecutive naturals, for example, 9800884 + ... + 9825483.

Almost surely, 2241404314100 is an apocalyptic number.

241404314100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241404314100 is an abundant number, since it is smaller than the sum of its proper divisors (474094557708).

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

241404314100 is a wasteful number, since it uses less digits than its factorization.

241404314100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19626425 (or 19626418 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 241404314100 its reverse (1413404142), we get a palindrome (242817718242).

The spelling of 241404314100 in words is "two hundred forty-one billion, four hundred four million, three hundred fourteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 300 410 492 615 820 1025 1230 2050 2460 3075 4100 6150 12300 19626367 39252734 58879101 78505468 98131835 117758202 196263670 235516404 294395505 392527340 490659175 588791010 804681047 981318350 1177582020 1471977525 1609362094 1962636700 2414043141 2943955050 3218724188 4023405235 4828086282 5887910100 8046810470 9656172564 12070215705 16093620940 20117026175 24140431410 40234052350 48280862820 60351078525 80468104700 120702157050 241404314100