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425120516040 = 233511415377549
BaseRepresentation
bin1100010111110110010…
…10000100011111001000
31111122022101020210201210
412023323022010133020
523431121323003130
6523144144013120
742466611523053
oct6137312043710
91448271223653
10425120516040
111543244a2960
126a4840011a0
133111cb1c60c
141680c55ba9a
15b0d1e745b0
hex62fb2847c8

425120516040 has 128 divisors (see below), whose sum is σ = 1391656464000. Its totient is φ = 103033374720.

The previous prime is 425120516039. The next prime is 425120516069. The reversal of 425120516040 is 40615021524.

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 = 425120515989 and 425120516007.

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, 5443186 + ... + 5520734.

It is an arithmetic number, because the mean of its divisors is an integer number (10872316125).

Almost surely, 2425120516040 is an apocalyptic number.

425120516040 is a gapful number since it is divisible by the number (40) 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 425120516040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695828232000).

425120516040 is an abundant number, since it is smaller than the sum of its proper divisors (966535947960).

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

425120516040 is a wasteful number, since it uses less digits than its factorization.

425120516040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81727 (or 81723 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 425120516040 its reverse (40615021524), we get a palindrome (465735537564).

The spelling of 425120516040 in words is "four hundred twenty-five billion, one hundred twenty million, five hundred sixteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 4153 8306 12459 16612 20765 24918 33224 41530 45683 49836 62295 77549 83060 91366 99672 124590 137049 155098 166120 182732 228415 232647 249180 274098 310196 365464 387745 456830 465294 498360 548196 620392 685245 775490 853039 913660 930588 1096392 1163235 1370490 1550980 1706078 1827320 1861176 2326470 2559117 2740980 3101960 3412156 4265195 4652940 5118234 5481960 6824312 8530390 9305880 10236468 12795585 17060780 20472936 25591170 34121560 51182340 102364680 322060997 644121994 966182991 1288243988 1610304985 1932365982 2576487976 3220609970 3542670967 3864731964 4830914955 6441219940 7085341934 7729463928 9661829910 10628012901 12882439880 14170683868 17713354835 19323659820 21256025802 28341367736 35426709670 38647319640 42512051604 53140064505 70853419340 85024103208 106280129010 141706838680 212560258020 425120516040