Search a number
-
+
123442233240 = 23351423722899
BaseRepresentation
bin111001011110110111…
…0101111111110011000
3102210121220100011210110
41302331232233332120
54010302202430430
6132413015244320
711630004445554
oct1627556577630
9383556304713
10123442233240
1148395a16987
121bb106796a0
13b8433a9381
145d90588864
1533272a17b0
hex1cbdbaff98

123442233240 has 64 divisors (see below), whose sum is σ = 370587456000. Its totient is φ = 32894750592.

The previous prime is 123442233221. The next prime is 123442233251. The reversal of 123442233240 is 42332244321.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 123442233198 and 123442233207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190690 + ... + 532209.

It is an arithmetic number, because the mean of its divisors is an integer number (5790429000).

Almost surely, 2123442233240 is an apocalyptic number.

123442233240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123442233240 is an abundant number, since it is smaller than the sum of its proper divisors (247145222760).

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

123442233240 is a wasteful number, since it uses less digits than its factorization.

123442233240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724336 (or 724332 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 123442233240 its reverse (42332244321), we get a palindrome (165774477561).

The spelling of 123442233240 in words is "one hundred twenty-three billion, four hundred forty-two million, two hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1423 2846 4269 5692 7115 8538 11384 14230 17076 21345 28460 34152 42690 56920 85380 170760 722899 1445798 2168697 2891596 3614495 4337394 5783192 7228990 8674788 10843485 14457980 17349576 21686970 28915960 43373940 86747880 1028685277 2057370554 3086055831 4114741108 5143426385 6172111662 8229482216 10286852770 12344223324 15430279155 20573705540 24688446648 30860558310 41147411080 61721116620 123442233240