Search a number
-
+
123325033040000 = 275411140142083
BaseRepresentation
bin11100000010100111011000…
…110010010100100010000000
3121011122202110121001112022022
4130002213120302110202000
5112131024131424240000
61114142423230301012
734655640166534541
oct3402473062244200
9534582417045268
10123325033040000
113632794208a6a0
12119b9274057768
1353a76680bc57c
142264d6b9b24c8
15e3ce790a5585
hex7029d8c94880

123325033040000 has 160 divisors (see below), whose sum is σ = 334919960868240. Its totient is φ = 44845466240000.

The previous prime is 123325033039981. The next prime is 123325033040057. The reversal of 123325033040000 is 40330523321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 69191042 + ... + 70951041.

Almost surely, 2123325033040000 is an apocalyptic number.

123325033040000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123325033040000 is an abundant number, since it is smaller than the sum of its proper divisors (211594927828240).

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

123325033040000 is an equidigital number, since it uses as much as digits as its factorization.

123325033040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140142128 (or 140142101 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 26.

Adding to 123325033040000 its reverse (40330523321), we get a palindrome (123365363563321).

The spelling of 123325033040000 in words is "one hundred twenty-three trillion, three hundred twenty-five billion, thirty-three million, forty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 275 320 352 400 440 500 550 625 640 704 800 880 1000 1100 1250 1375 1408 1600 1760 2000 2200 2500 2750 3200 3520 4000 4400 5000 5500 6875 7040 8000 8800 10000 11000 13750 16000 17600 20000 22000 27500 35200 40000 44000 55000 80000 88000 110000 176000 220000 440000 880000 140142083 280284166 560568332 700710415 1121136664 1401420830 1541562913 2242273328 2802841660 3083125826 3503552075 4484546656 5605683320 6166251652 7007104150 7707814565 8969093312 11211366640 12332503304 14014208300 15415629130 17517760375 17938186624 22422733280 24665006608 28028416600 30831258260 35035520750 38539072825 44845466560 49330013216 56056833200 61662516520 70071041500 77078145650 87588801875 89690933120 98660026432 112113666400 123325033040 140142083000 154156291300 175177603750 192695364125 197320052864 224227332800 246650066080 280284166000 308312582600 350355207500 385390728250 448454665600 493300132160 560568332000 616625165200 700710415000 770781456500 963476820625 986600264320 1121136664000 1233250330400 1401420830000 1541562913000 1926953641250 2242273328000 2466500660800 2802841660000 3083125826000 3853907282500 4933001321600 5605683320000 6166251652000 7707814565000 11211366640000 12332503304000 15415629130000 24665006608000 30831258260000 61662516520000 123325033040000