Search a number
-
+
14325520450320 = 2432519896556181
BaseRepresentation
bin1101000001110110101110…
…0011101100001100010000
31212201111200011002011221100
43100131223203230030100
53334202131213402240
650245015300024400
73005661515464242
oct320355343541420
955644604064840
1014325520450320
114623467912a42
12173446b992100
137cbb77081521
14377504b14092
1519c98dcd6e30
hexd076b8ec310

14325520450320 has 60 divisors (see below), whose sum is σ = 48109872848076. Its totient is φ = 3820138786560.

The previous prime is 14325520450309. The next prime is 14325520450363. The reversal of 14325520450320 is 2305402552341.

14325520450320 is a `hidden beast` number, since 1 + 4 + 32 + 55 + 204 + 50 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9917737771536 + 4407782678784 = 3149244^2 + 2099472^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9948277371 + ... + 9948278810.

Almost surely, 214325520450320 is an apocalyptic number.

14325520450320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14325520450320 is an abundant number, since it is smaller than the sum of its proper divisors (33784352397756).

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

14325520450320 is a wasteful number, since it uses less digits than its factorization.

14325520450320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19896556200 (or 19896556191 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 14325520450320 in words is "fourteen trillion, three hundred twenty-five billion, five hundred twenty million, four 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 19896556181 39793112362 59689668543 79586224724 99482780905 119379337086 159172449448 179069005629 198965561810 238758674172 298448342715 318344898896 358138011258 397931123620 477517348344 596896685430 716276022516 795862247240 895345028145 955034696688 1193793370860 1432552045032 1591724494480 1790690056290 2387586741720 2865104090064 3581380112580 4775173483440 7162760225160 14325520450320