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2110488338040 = 2335532833117133
BaseRepresentation
bin11110101101100010111…
…010000101111001111000
321110202112120010222012020
4132231202322011321320
5234034240003304130
64253313413314440
7305322603611415
oct36554272057170
97422476128166
102110488338040
11744064712555
122a103a335a20
13124030c921a4
147421087110c
1539d72dd7e10
hex1eb62e85e78

2110488338040 has 128 divisors (see below), whose sum is σ = 6453258776640. Its totient is φ = 551978459136.

The previous prime is 2110488338009. The next prime is 2110488338053. The reversal of 2110488338040 is 408338840112.

It is a super-2 number, since 2×21104883380402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2110488337983 and 2110488338001.

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, 17959314 + ... + 18076446.

Almost surely, 22110488338040 is an apocalyptic number.

2110488338040 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 2110488338040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3226629388320).

2110488338040 is an abundant number, since it is smaller than the sum of its proper divisors (4342770438600).

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

2110488338040 is a wasteful number, since it uses less digits than its factorization.

2110488338040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120033 (or 120029 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 2110488338040 in words is "two trillion, one hundred ten billion, four hundred eighty-eight million, three hundred thirty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1590 2120 2833 3180 5666 6360 8499 11332 14165 16998 22664 28330 33996 42495 56660 67992 84990 113320 117133 150149 169980 234266 300298 339960 351399 450447 468532 585665 600596 702798 750745 900894 937064 1171330 1201192 1405596 1501490 1756995 1801788 2252235 2342660 2811192 3002980 3513990 3603576 4504470 4685320 6005960 6208049 7027980 9008940 12416098 14055960 18017880 18624147 24832196 31040245 37248294 49664392 62080490 74496588 93120735 124160980 148993176 186241470 248321960 331837789 372482940 663675578 744965880 995513367 1327351156 1659188945 1991026734 2654702312 3318377890 3982053468 4977566835 6636755780 7964106936 9955133670 13273511560 17587402817 19910267340 35174805634 39820534680 52762208451 70349611268 87937014085 105524416902 140699222536 175874028170 211048833804 263811042255 351748056340 422097667608 527622084510 703496112680 1055244169020 2110488338040