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42112031424 = 2632343221773
BaseRepresentation
bin100111001110000100…
…101001101011000000
311000200212012211221120
4213032010221223000
51142221140001144
631202422552240
73020401234551
oct471604515300
9130625184846
1042112031424
1116950164561
1281b3298680
133c817c37b8
142076caa328
151167128e19
hex9ce129ac0

42112031424 has 112 divisors (see below), whose sum is σ = 118970218752. Its totient is φ = 13114708992.

The previous prime is 42112031393. The next prime is 42112031441. The reversal of 42112031424 is 42413021124.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 42112031394 and 42112031403.

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, 79002 + ... + 300774.

It is an arithmetic number, because the mean of its divisors is an integer number (1062234096).

Almost surely, 242112031424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42112031424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59485109376).

42112031424 is an abundant number, since it is smaller than the sum of its proper divisors (76858187328).

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

42112031424 is a wasteful number, since it uses less digits than its factorization.

42112031424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221854 (or 221844 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 42112031424 its reverse (42413021124), we get a palindrome (84525052548).

The spelling of 42112031424 in words is "forty-two billion, one hundred twelve million, thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 43 46 48 64 69 86 92 96 129 138 172 184 192 258 276 344 368 516 552 688 736 989 1032 1104 1376 1472 1978 2064 2208 2752 2967 3956 4128 4416 5934 7912 8256 11868 15824 23736 31648 47472 63296 94944 189888 221773 443546 665319 887092 1330638 1774184 2661276 3548368 5100779 5322552 7096736 9536239 10201558 10645104 14193472 15302337 19072478 20403116 21290208 28608717 30604674 38144956 40806232 42580416 57217434 61209348 76289912 81612464 114434868 122418696 152579824 163224928 219333497 228869736 244837392 305159648 326449856 438666994 457739472 489674784 610319296 658000491 877333988 915478944 979349568 1316000982 1754667976 1830957888 2632001964 3509335952 5264003928 7018671904 10528007856 14037343808 21056015712 42112031424