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14214510540 = 2232581197373
BaseRepresentation
bin11010011110100000…
…00011011111001100
31100200122002221201100
431033100003133030
5213102403314130
610310254143100
71012151226456
oct151720033714
940618087640
1014214510540
1160347a217a
1229084b1a90
131456ba6aa9
1498bb952d6
15582da6c60
hex34f4037cc

14214510540 has 72 divisors (see below), whose sum is σ = 43170957648. Its totient is φ = 3785823360.

The previous prime is 14214510493. The next prime is 14214510547. The reversal of 14214510540 is 4501541241.

14214510540 is a `hidden beast` number, since 142 + 1 + 4 + 510 + 5 + 4 + 0 = 666.

14214510540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14214510547) 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, 97294 + ... + 194666.

It is an arithmetic number, because the mean of its divisors is an integer number (599596634).

Almost surely, 214214510540 is an apocalyptic number.

14214510540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14214510540 is an abundant number, since it is smaller than the sum of its proper divisors (28956447108).

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

14214510540 is a wasteful number, since it uses less digits than its factorization.

14214510540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98199 (or 98194 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 14214510540 in words is "fourteen billion, two hundred fourteen million, five hundred ten thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 811 1622 2433 3244 4055 4866 7299 8110 9732 12165 14598 16220 24330 29196 36495 48660 72990 97373 145980 194746 292119 389492 486865 584238 876357 973730 1168476 1460595 1752714 1947460 2921190 3505428 4381785 5842380 8763570 17527140 78969503 157939006 236908509 315878012 394847515 473817018 710725527 789695030 947634036 1184542545 1421451054 1579390060 2369085090 2842902108 3553627635 4738170180 7107255270 14214510540