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15424042000 = 245337208433
BaseRepresentation
bin11100101110101100…
…00011010000010000
31110210221001111221211
432113112003100100
5223042023321000
611030302425504
71054136123323
oct162726032020
943727044854
1015424042000
1165a5519054
122ba5592294
1315ba657793
14a646867ba
156041767ba
hex397583410

15424042000 has 80 divisors (see below), whose sum is σ = 38303499312. Its totient is φ = 6002841600.

The previous prime is 15424041959. The next prime is 15424042003. The reversal of 15424042000 is 24042451.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6794375184 + 8629666816 = 82428^2 + 92896^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (15424042003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30217 + ... + 178216.

Almost surely, 215424042000 is an apocalyptic number.

15424042000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15424042000 is an abundant number, since it is smaller than the sum of its proper divisors (22879457312).

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

15424042000 is a wasteful number, since it uses less digits than its factorization.

15424042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208493 (or 208477 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

Adding to 15424042000 its reverse (24042451), we get a palindrome (15448084451).

The spelling of 15424042000 in words is "fifteen billion, four hundred twenty-four million, forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 125 148 185 200 250 296 370 400 500 592 740 925 1000 1480 1850 2000 2960 3700 4625 7400 9250 14800 18500 37000 74000 208433 416866 833732 1042165 1667464 2084330 3334928 4168660 5210825 7712021 8337320 10421650 15424042 16674640 20843300 26054125 30848084 38560105 41686600 52108250 61696168 77120210 83373200 104216500 123392336 154240420 192800525 208433000 308480840 385601050 416866000 616961680 771202100 964002625 1542404200 1928005250 3084808400 3856010500 7712021000 15424042000