Search a number
-
+
14327950320 = 24325143913829
BaseRepresentation
bin11010101100000001…
…10010101111110000
31100222112120021211200
431112000302233300
5213320423402240
610325425411200
71015026365625
oct152600625760
940875507750
1014327950320
116092833162
12293a499b00
131474544a18
1499cc8434c
1558cd13930
hex356032bf0

14327950320 has 120 divisors (see below), whose sum is σ = 48154953600. Its totient is φ = 3817855488.

The previous prime is 14327950313. The next prime is 14327950327. The reversal of 14327950320 is 2305972341.

14327950320 is a `hidden beast` number, since 1 + 4 + 327 + 9 + 5 + 0 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (14327950313) and next prime (14327950327).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14327950327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1029166 + ... + 1042994.

It is an arithmetic number, because the mean of its divisors is an integer number (401291280).

Almost surely, 214327950320 is an apocalyptic number.

14327950320 is a gapful number since it is divisible by the number (10) 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 14327950320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24077476800).

14327950320 is an abundant number, since it is smaller than the sum of its proper divisors (33827003280).

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

14327950320 is a wasteful number, since it uses less digits than its factorization.

14327950320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15287 (or 15278 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 14327950320 in words is "fourteen billion, three hundred twenty-seven million, nine hundred fifty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1439 2878 4317 5756 7195 8634 11512 12951 13829 14390 17268 21585 23024 25902 27658 28780 34536 41487 43170 51804 55316 57560 64755 69072 69145 82974 86340 103608 110632 115120 124461 129510 138290 165948 172680 207216 207435 221264 248922 259020 276580 331896 345360 414870 497844 518040 553160 622305 663792 829740 995688 1036080 1106320 1244610 1659480 1991376 2489220 3318960 4978440 9956880 19899931 39799862 59699793 79599724 99499655 119399586 159199448 179099379 198999310 238799172 298498965 318398896 358198758 397998620 477598344 596997930 716397516 795997240 895496895 955196688 1193995860 1432795032 1591994480 1790993790 2387991720 2865590064 3581987580 4775983440 7163975160 14327950320