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2331300404040 = 2335311381453797
BaseRepresentation
bin100001111011001100010…
…101010001101101001000
322020212111100000011001220
4201323030111101231020
5301144000400412130
64542552402242040
7330300540321606
oct41731425215510
98225440004056
102331300404040
118197763349a3
123179a3956320
1313bac0ca4bca
1480b9aa24876
1540998535410
hex21ecc551b48

2331300404040 has 128 divisors (see below), whose sum is σ = 7224754590720. Its totient is φ = 601188940800.

The previous prime is 2331300404003. The next prime is 2331300404093. The reversal of 2331300404040 is 404040031332.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2331300404040.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4910422 + ... + 5364218.

It is an arithmetic number, because the mean of its divisors is an integer number (56443395240).

Almost surely, 22331300404040 is an apocalyptic number.

2331300404040 is a gapful number since it is divisible by the number (20) 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 2331300404040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3612377295360).

2331300404040 is an abundant number, since it is smaller than the sum of its proper divisors (4893454186680).

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

2331300404040 is a wasteful number, since it uses less digits than its factorization.

2331300404040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455223 (or 455219 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 2331300404040 its reverse (404040031332), we get a palindrome (2735340435372).

The spelling of 2331300404040 in words is "two trillion, three hundred thirty-one billion, three hundred million, four hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1381 1860 2762 3720 4143 5524 6905 8286 11048 13810 16572 20715 27620 33144 41430 42811 55240 82860 85622 128433 165720 171244 214055 256866 342488 428110 453797 513732 642165 856220 907594 1027464 1284330 1361391 1712440 1815188 2268985 2568660 2722782 3630376 4537970 5137320 5445564 6806955 9075940 10891128 13613910 14067707 18151880 27227820 28135414 42203121 54455640 56270828 70338535 84406242 112541656 140677070 168812484 211015605 281354140 337624968 422031210 562708280 626693657 844062420 1253387314 1688124840 1880080971 2506774628 3133468285 3760161942 5013549256 6266936570 7520323884 9400404855 12533873140 15040647768 18800809710 19427503367 25067746280 37601619420 38855006734 58282510101 75203238840 77710013468 97137516835 116565020202 155420026936 194275033670 233130040404 291412550505 388550067340 466260080808 582825101010 777100134680 1165650202020 2331300404040