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12422354040 = 23325103133469
BaseRepresentation
bin10111001000110111…
…00001010001111000
31012001201211222011200
423210123201101320
5200420110312130
65412354054200
7616560160425
oct134433412170
935051758150
1012422354040
1152a51054a8
1224a827a360
13122c801b65
1485bb60d4c
154ca89c760
hex2e46e1478

12422354040 has 96 divisors (see below), whose sum is σ = 40413016800. Its totient is φ = 3309315840.

The previous prime is 12422354017. The next prime is 12422354057. The reversal of 12422354040 is 4045322421.

12422354040 is a `hidden beast` number, since 1 + 24 + 2 + 235 + 404 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12422353995 and 12422354013.

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, 354426 + ... + 387894.

It is an arithmetic number, because the mean of its divisors is an integer number (420968925).

Almost surely, 212422354040 is an apocalyptic number.

12422354040 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 12422354040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20206508400).

12422354040 is an abundant number, since it is smaller than the sum of its proper divisors (27990662760).

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

12422354040 is a wasteful number, since it uses less digits than its factorization.

12422354040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34517 (or 34510 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 12422354040 its reverse (4045322421), we get a palindrome (16467676461).

The spelling of 12422354040 in words is "twelve billion, four hundred twenty-two million, three hundred fifty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1031 2062 3093 4124 5155 6186 8248 9279 10310 12372 15465 18558 20620 24744 30930 33469 37116 41240 46395 61860 66938 74232 92790 100407 123720 133876 167345 185580 200814 267752 301221 334690 371160 401628 502035 602442 669380 803256 1004070 1204884 1338760 1506105 2008140 2409768 3012210 4016280 6024420 12048840 34506539 69013078 103519617 138026156 172532695 207039234 276052312 310558851 345065390 414078468 517598085 621117702 690130780 828156936 1035196170 1242235404 1380261560 1552794255 2070392340 2484470808 3105588510 4140784680 6211177020 12422354040