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14411789952 = 273741130769
BaseRepresentation
bin11010110110000001…
…00111011010000000
31101012101022210012020
431123000213122000
5214003404234302
610342022401440
71020065123220
oct153300473200
941171283166
1014411789952
11612609710a
122962590280
131488a1a981
149aa06a080
15595374ebc
hex35b027680

14411789952 has 128 divisors (see below), whose sum is σ = 44817494400. Its totient is φ = 4017192960.

The previous prime is 14411789941. The next prime is 14411789957. The reversal of 14411789952 is 25998711441.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 14411789895 and 14411789904.

It is not an unprimeable number, because it can be changed into a prime (14411789957) 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, 44824 + ... + 175592.

It is an arithmetic number, because the mean of its divisors is an integer number (350136675).

Almost surely, 214411789952 is an apocalyptic number.

14411789952 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 14411789952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22408747200).

14411789952 is an abundant number, since it is smaller than the sum of its proper divisors (30405704448).

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

14411789952 is a wasteful number, since it uses less digits than its factorization.

14411789952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130834 (or 130822 counting only the distinct ones).

The product of its digits is 725760, while the sum is 51.

The spelling of 14411789952 in words is "fourteen billion, four hundred eleven million, seven hundred eighty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 82 84 96 112 123 128 164 168 192 224 246 287 328 336 384 448 492 574 656 672 861 896 984 1148 1312 1344 1722 1968 2296 2624 2688 3444 3936 4592 5248 6888 7872 9184 13776 15744 18368 27552 36736 55104 110208 130769 261538 392307 523076 784614 915383 1046152 1569228 1830766 2092304 2746149 3138456 3661532 4184608 5361529 5492298 6276912 7323064 8369216 10723058 10984596 12553824 14646128 16084587 16738432 21446116 21969192 25107648 29292256 32169174 37530703 42892232 43938384 50215296 58584512 64338348 75061406 85784464 87876768 112592109 117169024 128676696 150122812 171568928 175753536 225184218 257353392 300245624 343137856 351507072 450368436 514706784 600491248 686275712 900736872 1029413568 1200982496 1801473744 2058827136 2401964992 3602947488 4803929984 7205894976 14411789952