Search a number
-
+
123245435325312 = 2732106983884831
BaseRepresentation
bin11100000001011101010000…
…011001001000101110000000
3121011101011000021220200000100
4130001131100121020232000
5112123223122420402222
61114042101003122400
734650121531243446
oct3401352031105600
9534334007820010
10123245435325312
11362a710626a513
12119a595ab13400
13539ccc1419301
14226117a434b96
15e3ad6b09c4ac
hex701750648b80

123245435325312 has 48 divisors (see below), whose sum is σ = 354651578218080. Its totient is φ = 41081811774720.

The previous prime is 123245435325293. The next prime is 123245435325319. The reversal of 123245435325312 is 213523534542321.

123245435325312 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 4 + 5 + 4 + 3 + 5 + 325 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123245435325319) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 53491941264 + ... + 53491943567.

It is an arithmetic number, because the mean of its divisors is an integer number (7388574546210).

Almost surely, 2123245435325312 is an apocalyptic number.

123245435325312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123245435325312 is an abundant number, since it is smaller than the sum of its proper divisors (231406142892768).

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

123245435325312 is a wasteful number, since it uses less digits than its factorization.

123245435325312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106983884851 (or 106983884836 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 45.

Adding to 123245435325312 its reverse (213523534542321), we get a palindrome (336768969867633).

The spelling of 123245435325312 in words is "one hundred twenty-three trillion, two hundred forty-five billion, four hundred thirty-five million, three hundred twenty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 106983884831 213967769662 320951654493 427935539324 641903308986 855871078648 962854963479 1283806617972 1711742157296 1925709926958 2567613235944 3423484314592 3851419853916 5135226471888 6846968629184 7702839707832 10270452943776 13693937258368 15405679415664 20540905887552 30811358831328 41081811775104 61622717662656 123245435325312