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14201718732 = 22323730113541
BaseRepresentation
bin11010011100111110…
…10000011111001100
31100122202001001122200
431032133100133030
5213041114444412
610305120041500
71011634421535
oct151637203714
940582031580
1014201718732
116028555533
122904163290
131454348586
1498a1c568c
15581bcb9dc
hex34e7d07cc

14201718732 has 72 divisors (see below), whose sum is σ = 36891686832. Its totient is φ = 4603132800.

The previous prime is 14201718719. The next prime is 14201718733. The reversal of 14201718732 is 23781710241.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14201718733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4008882 + ... + 4012422.

Almost surely, 214201718732 is an apocalyptic number.

14201718732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14201718732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18445843416).

14201718732 is an abundant number, since it is smaller than the sum of its proper divisors (22689968100).

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

14201718732 is a wasteful number, since it uses less digits than its factorization.

14201718732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6599 (or 6594 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 14201718732 in words is "fourteen billion, two hundred one million, seven hundred eighteen thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 3011 3541 6022 7082 9033 10623 12044 14164 18066 21246 27099 31869 36132 42492 54198 63738 108396 111407 127476 131017 222814 262034 334221 393051 445628 524068 668442 786102 1002663 1179153 1336884 1572204 2005326 2358306 4010652 4716612 10661951 21323902 31985853 42647804 63971706 95957559 127943412 191915118 383830236 394492187 788984374 1183476561 1577968748 2366953122 3550429683 4733906244 7100859366 14201718732