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14000504832 = 2143331649
BaseRepresentation
bin11010000100111111…
…01100000000000000
31100010201102100002000
431002133230000000
5212133112123312
610233131224000
71003642220226
oct150237540000
940121370060
1014000504832
115a34a13556
1228688a8000
1314217578b2
1496b5a8b16
1556e1d2adc
hex3427ec000

14000504832 has 120 divisors (see below), whose sum is σ = 41483022000. Its totient is φ = 4666687488.

The previous prime is 14000504831. The next prime is 14000504867. The reversal of 14000504832 is 23840500041.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14000504796 and 14000504805.

It is not an unprimeable number, because it can be changed into a prime (14000504831) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 426544 + ... + 458192.

It is an arithmetic number, because the mean of its divisors is an integer number (345691850).

Almost surely, 214000504832 is an apocalyptic number.

14000504832 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 14000504832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20741511000).

14000504832 is an abundant number, since it is smaller than the sum of its proper divisors (27482517168).

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

14000504832 is an frugal number, since it uses more digits than its factorization.

14000504832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31686 (or 31654 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 14000504832 in words is "fourteen billion, five hundred four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4096 4608 6144 6912 8192 9216 12288 13824 16384 18432 24576 27648 31649 36864 49152 55296 63298 73728 94947 110592 126596 147456 189894 221184 253192 284841 379788 442368 506384 569682 759576 854523 1012768 1139364 1519152 1709046 2025536 2278728 3038304 3418092 4051072 4557456 6076608 6836184 8102144 9114912 12153216 13672368 16204288 18229824 24306432 27344736 32408576 36459648 48612864 54689472 64817152 72919296 97225728 109378944 129634304 145838592 194451456 218757888 259268608 291677184 388902912 437515776 518537216 583354368 777805824 875031552 1166708736 1555611648 1750063104 2333417472 3500126208 4666834944 7000252416 14000504832