Search a number
-
+
23403033132320 = 2551373673290677
BaseRepresentation
bin1010101001000111100010…
…11110011111110100100000
310001212022022121200020102202
411110203301132133310200
511031413402440213240
6121435112140232332
74633545656255252
oct524436136376440
9101768277606382
1023403033132320
1175031970a6336
12275b7b853b6a8
131009b8696710a
145ac9da0a5cd2
152a8b7740e315
hex1548f179fd20

23403033132320 has 96 divisors (see below), whose sum is σ = 55708594503408. Its totient is φ = 9290321215488.

The previous prime is 23403033132287. The next prime is 23403033132337. The reversal of 23403033132320 is 2323133030432.

It can be written as a sum of positive squares in 8 ways, for example, as 7743063108496 + 15659970023824 = 2782636^2 + 3957268^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80366822 + ... + 80657498.

Almost surely, 223403033132320 is an apocalyptic number.

23403033132320 is a gapful number since it is divisible by the number (20) 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 23403033132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27854297251704).

23403033132320 is an abundant number, since it is smaller than the sum of its proper divisors (32305561371088).

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

23403033132320 is a wasteful number, since it uses less digits than its factorization.

23403033132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294502 (or 294494 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 29.

Adding to 23403033132320 its reverse (2323133030432), we get a palindrome (25726166162752).

The spelling of 23403033132320 in words is "twenty-three trillion, four hundred three billion, thirty-three million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 137 160 274 548 685 1096 1370 2192 2740 3673 4384 5480 7346 10960 14692 18365 21920 29384 36730 58768 73460 117536 146920 290677 293840 503201 581354 587680 1006402 1162708 1453385 2012804 2325416 2516005 2906770 4025608 4650832 5032010 5813540 8051216 9301664 10064020 11627080 16102432 20128040 23254160 39822749 40256080 46508320 79645498 80512160 159290996 199113745 318581992 398227490 637163984 796454980 1067656621 1274327968 1592909960 2135313242 3185819920 4270626484 5338283105 6371639840 8541252968 10676566210 17082505936 21353132420 34165011872 42706264840 85412529680 146268957077 170825059360 292537914154 585075828308 731344785385 1170151656616 1462689570770 2340303313232 2925379141540 4680606626464 5850758283080 11701516566160 23403033132320