Search a number
-
+
124412231420 = 22519222377703
BaseRepresentation
bin111001111011110001…
…0111111111011111100
3102220010111120012010222
41303313202333323330
54014244012401140
6133053145520512
711663023342601
oct1636742777374
9386114505128
10124412231420
1148843508974
12201414a3138
13b9693407a9
1460433266a8
1533825085b5
hex1cf78bfefc

124412231420 has 72 divisors (see below), whose sum is σ = 275899315104. Its totient is φ = 47118494592.

The previous prime is 124412231407. The next prime is 124412231443. The reversal of 124412231420 is 24132214421.

124412231420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 124412231420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16147289 + ... + 16154991.

It is an arithmetic number, because the mean of its divisors is an integer number (3831934932).

Almost surely, 2124412231420 is an apocalyptic number.

124412231420 is a gapful number since it is divisible by the number (10) 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 124412231420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137949657552).

124412231420 is an abundant number, since it is smaller than the sum of its proper divisors (151487083684).

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

124412231420 is a wasteful number, since it uses less digits than its factorization.

124412231420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9987 (or 9966 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 124412231420 its reverse (24132214421), we get a palindrome (148544445841).

The spelling of 124412231420 in words is "one hundred twenty-four billion, four hundred twelve million, two hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 361 380 722 1444 1805 2237 3610 4474 7220 7703 8948 11185 15406 22370 30812 38515 42503 44740 77030 85006 146357 154060 170012 212515 292714 425030 585428 731785 807557 850060 1463570 1615114 2780783 2927140 3230228 4037785 5561566 8075570 11123132 13903915 16151140 17231611 27807830 34463222 55615660 68926444 86158055 172316110 327400609 344632220 654801218 1309602436 1637003045 3274006090 6220611571 6548012180 12441223142 24882446284 31103057855 62206115710 124412231420