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4104122640 = 243517100511
BaseRepresentation
bin1111010010011111…
…1111000100010000
3101121000122000212020
43310213333010100
531401123411030
61515125331440
7203463316062
oct36447770420
911530560766
104104122640
1118167410a2
12966566b80
13505379847
142ad0d9732
15190491510
hexf49ff110

4104122640 has 40 divisors (see below), whose sum is σ = 12722780928. Its totient is φ = 1094432640.

The previous prime is 4104122629. The next prime is 4104122641. The reversal of 4104122640 is 462214014.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4104122640.

It is not an unprimeable number, because it can be changed into a prime (4104122641) 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 7 ways as a sum of consecutive naturals, for example, 8550016 + ... + 8550495.

Almost surely, 24104122640 is an apocalyptic number.

4104122640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4104122640 is an abundant number, since it is smaller than the sum of its proper divisors (8618658288).

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

4104122640 is a wasteful number, since it uses less digits than its factorization.

4104122640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17100527 (or 17100521 counting only the distinct ones).

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

The square root of 4104122640 is about 64063.4266957365. The cubic root of 4104122640 is about 1601.0569370655.

Adding to 4104122640 its reverse (462214014), we get a palindrome (4566336654).

The spelling of 4104122640 in words is "four billion, one hundred four million, one hundred twenty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 17100511 34201022 51301533 68402044 85502555 102603066 136804088 171005110 205206132 256507665 273608176 342010220 410412264 513015330 684020440 820824528 1026030660 1368040880 2052061320 4104122640