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11234936040 = 23352337110017
BaseRepresentation
bin10100111011010011…
…11000010011101000
31001222222111212220020
422131221320103220
5141002120423130
65054455400440
7545261244366
oct123551702350
931888455806
1011234936040
114845912809
122216683120
1310a07c4563
14788188636
1545b4e9e10
hex29da784e8

11234936040 has 128 divisors (see below), whose sum is σ = 36121109760. Its totient is φ = 2788245504.

The previous prime is 11234936029. The next prime is 11234936057. The reversal of 11234936040 is 4063943211.

11234936040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11234935992 and 11234936010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47112 + ... + 157128.

It is an arithmetic number, because the mean of its divisors is an integer number (282196170).

Almost surely, 211234936040 is an apocalyptic number.

11234936040 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 11234936040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18060554880).

11234936040 is an abundant number, since it is smaller than the sum of its proper divisors (24886173720).

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

11234936040 is a wasteful number, since it uses less digits than its factorization.

11234936040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110091 (or 110087 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 11234936040 in words is "eleven billion, two hundred thirty-four million, nine hundred thirty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 37 40 46 60 69 74 92 111 115 120 138 148 184 185 222 230 276 296 345 370 444 460 552 555 690 740 851 888 920 1110 1380 1480 1702 2220 2553 2760 3404 4255 4440 5106 6808 8510 10212 12765 17020 20424 25530 34040 51060 102120 110017 220034 330051 440068 550085 660102 880136 1100170 1320204 1650255 2200340 2530391 2640408 3300510 4070629 4400680 5060782 6601020 7591173 8141258 10121564 12211887 12651955 13202040 15182346 16282516 20243128 20353145 24423774 25303910 30364692 32565032 37955865 40706290 48847548 50607820 60729384 61059435 75911730 81412580 93624467 97695096 101215640 122118870 151823460 162825160 187248934 244237740 280873401 303646920 374497868 468122335 488475480 561746802 748995736 936244670 1123493604 1404367005 1872489340 2246987208 2808734010 3744978680 5617468020 11234936040