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123420343424 = 2772328121313
BaseRepresentation
bin111001011110001101…
…1001111110010000000
3102210120101011001121112
41302330123033302000
54010231101442144
6132410514142452
711626320416060
oct1627433176200
9383511131545
10123420343424
1148384625824
121bb05281a28
13b83b9b3a11
145d8b6cb3a0
1533253ca99e
hex1cbc6cfc80

123420343424 has 128 divisors (see below), whose sum is σ = 294276430080. Its totient is φ = 50412257280.

The previous prime is 123420343411. The next prime is 123420343427. The reversal of 123420343424 is 424343024321.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (123420343427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5780192 + ... + 5801504.

It is an arithmetic number, because the mean of its divisors is an integer number (2299034610).

Almost surely, 2123420343424 is an apocalyptic number.

123420343424 is a gapful number since it is divisible by the number (14) 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 123420343424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147138215040).

123420343424 is an abundant number, since it is smaller than the sum of its proper divisors (170856086656).

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

123420343424 is a wasteful number, since it uses less digits than its factorization.

123420343424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21638 (or 21626 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 123420343424 its reverse (424343024321), we get a palindrome (547763367745).

The spelling of 123420343424 in words is "one hundred twenty-three billion, four hundred twenty million, three hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 281 322 368 448 562 644 736 896 1124 1288 1472 1967 2248 2576 2944 3934 4496 5152 6463 7868 8992 10304 12926 15736 17984 20608 21313 25852 31472 35968 42626 45241 51704 62944 85252 90482 103408 125888 149191 170504 180964 206816 251776 298382 341008 361928 413632 490199 596764 682016 723856 827264 980398 1193528 1364032 1447712 1960796 2387056 2728064 2895424 3431393 3921592 4774112 5790848 5988953 6862786 7843184 9548224 11977906 13725572 15686368 19096448 23955812 27451144 31372736 41922671 47911624 54902288 62745472 83845342 95823248 109804576 137745919 167690684 191646496 219609152 275491838 335381368 383292992 439218304 550983676 670762736 766585984 964221433 1101967352 1341525472 1928442866 2203934704 2683050944 3856885732 4407869408 5366101888 7713771464 8815738816 15427542928 17631477632 30855085856 61710171712 123420343424