Search a number
-
+
122344052442340 = 225191734673985073
BaseRepresentation
bin11011110100010101110001…
…110010010100010011100100
3121001011222101100222211222011
4123310111301302110103210
5112013441104411123330
61112112025355444004
734525031446201231
oct3364256162242344
9531158340884864
10122344052442340
1135a89904112233
121187b11b756604
135335cc12c5871
14222d6ab514788
15e226b245c82a
hex6f4571c944e4

122344052442340 has 96 divisors (see below), whose sum is σ = 272590538613120. Its totient is φ = 45995254695936.

The previous prime is 122344052442331. The next prime is 122344052442361. The reversal of 122344052442340 is 43244250443221.

It is a junction number, because it is equal to n+sod(n) for n = 122344052442293 and 122344052442302.

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 31 ways as a sum of consecutive naturals, for example, 28708044 + ... + 32693116.

It is an arithmetic number, because the mean of its divisors is an integer number (2839484777220).

Almost surely, 2122344052442340 is an apocalyptic number.

122344052442340 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 122344052442340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136295269306560).

122344052442340 is an abundant number, since it is smaller than the sum of its proper divisors (150246486170780).

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

122344052442340 is a wasteful number, since it uses less digits than its factorization.

122344052442340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3985741 (or 3985739 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 40.

The spelling of 122344052442340 in words is "one hundred twenty-two trillion, three hundred forty-four billion, fifty-two million, four hundred forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 173 190 346 380 467 692 865 934 1730 1868 2335 3287 3460 4670 6574 8873 9340 13148 16435 17746 32870 35492 44365 65740 80791 88730 161582 177460 323164 403955 807910 1535029 1615820 3070058 3985073 6140116 7675145 7970146 15350290 15940292 19925365 30700580 39850730 75716387 79701460 151432774 302865548 378581935 689417629 757163870 1378835258 1514327740 1861029091 2757670516 3447088145 3722058182 6894176290 7444116364 9305145455 13098934951 13788352580 18610290910 26197869902 35359552729 37220581820 52395739804 65494674755 70719105458 130989349510 141438210916 176797763645 261978699020 321958032743 353595527290 643916065486 707191054580 1287832130972 1609790163715 3219580327430 6117202622117 6439160654860 12234405244234 24468810488468 30586013110585 61172026221170 122344052442340