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323042042222040 = 233565914249286687
BaseRepresentation
bin100100101110011100001011…
…0001011001001010111011000
31120100210111222100112112102210
41021130320112023021113120
5314320210100302101130
63103015244312355120
7125021005644663021
oct11134702613112730
91510714870475383
10323042042222040
1193a273a7166989
12302938663a5aa0
1310b339704093bb
1459ab465483c48
1527530e8d735b0
hex125ce162c95d8

323042042222040 has 128 divisors (see below), whose sum is σ = 970668230400000. Its totient is φ = 86007488007168.

The previous prime is 323042042222023. The next prime is 323042042222161. The reversal of 323042042222040 is 40222240240323.

It is a super-2 number, since 2×3230420422220402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 323042042221989 and 323042042222007.

It is a congruent number.

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, 1126667577 + ... + 1126954263.

It is an arithmetic number, because the mean of its divisors is an integer number (7583345550000).

Almost surely, 2323042042222040 is an apocalyptic number.

323042042222040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

323042042222040 is an abundant number, since it is smaller than the sum of its proper divisors (647626188177960).

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

323042042222040 is a wasteful number, since it uses less digits than its factorization.

323042042222040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301609 (or 301605 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 323042042222040 its reverse (40222240240323), we get a palindrome (363264282462363).

The spelling of 323042042222040 in words is "three hundred twenty-three trillion, forty-two billion, forty-two million, two hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 659 1318 1977 2636 3295 3954 5272 6590 7908 9885 13180 14249 15816 19770 26360 28498 39540 42747 56996 71245 79080 85494 113992 142490 170988 213735 284980 286687 341976 427470 569960 573374 854940 860061 1146748 1433435 1709880 1720122 2293496 2866870 3440244 4300305 5733740 6880488 8600610 9390091 11467480 17201220 18780182 28170273 34402440 37560364 46950455 56340546 75120728 93900910 112681092 140851365 187801820 188926733 225362184 281702730 375603640 377853466 563405460 566780199 755706932 944633665 1126810920 1133560398 1511413864 1889267330 2267120796 2833900995 3778534660 4085003063 4534241592 5667801990 7557069320 8170006126 11335603980 12255009189 16340012252 20425015315 22671207960 24510018378 32680024504 40850030630 49020036756 61275045945 81700061260 98040073512 122550091890 163400122520 245100183780 490200367560 2692017018517 5384034037034 8076051055551 10768068074068 13460085092585 16152102111102 21536136148136 26920170185170 32304204222204 40380255277755 53840340370340 64608408444408 80760510555510 107680680740680 161521021111020 323042042222040