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2243123110040 = 235293771736097
BaseRepresentation
bin100000101001000100100…
…011100110000010011000
321221102220002212111112012
4200221010203212002120
5243222404004010130
64434250533005052
7321026452561661
oct40510443460230
97842802774465
102243123110040
117953375768aa
12302895483788
131336aa9929b7
147a7d3c30368
153d5371e9995
hex20a448e6098

2243123110040 has 128 divisors (see below), whose sum is σ = 5437703145600. Its totient is φ = 831022940160.

The previous prime is 2243123109971. The next prime is 2243123110051. The reversal of 2243123110040 is 400113213422.

It is a junction number, because it is equal to n+sod(n) for n = 2243123109988 and 2243123110015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2679272 + ... + 3415368.

It is an arithmetic number, because the mean of its divisors is an integer number (42482055825).

Almost surely, 22243123110040 is an apocalyptic number.

2243123110040 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 2243123110040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2718851572800).

2243123110040 is an abundant number, since it is smaller than the sum of its proper divisors (3194580035560).

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

2243123110040 is a wasteful number, since it uses less digits than its factorization.

2243123110040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736245 (or 736241 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 2243123110040 its reverse (400113213422), we get a palindrome (2643236323462).

The spelling of 2243123110040 in words is "two trillion, two hundred forty-three billion, one hundred twenty-three million, one hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 37 40 58 71 74 116 142 145 148 185 232 284 290 296 355 370 568 580 710 740 1073 1160 1420 1480 2059 2146 2627 2840 4118 4292 5254 5365 8236 8584 10295 10508 10730 13135 16472 20590 21016 21460 26270 41180 42920 52540 76183 82360 105080 152366 304732 380915 609464 736097 761830 1472194 1523660 2944388 3047320 3680485 5888776 7360970 14721940 21346813 27235589 29443880 42693626 52262887 54471178 85387252 104525774 106734065 108942356 136177945 170774504 209051548 213468130 217884712 261314435 272355890 418103096 426936260 522628870 544711780 789832081 853872520 1045257740 1089423560 1515623723 1579664162 1933726819 2090515480 3031247446 3159328324 3867453638 3949160405 6062494892 6318656648 7578118615 7734907276 7898320810 9668634095 12124989784 15156237230 15469814552 15796641620 19337268190 30312474460 31593283240 38674536380 56078077751 60624948920 77349072760 112156155502 224312311004 280390388755 448624622008 560780777510 1121561555020 2243123110040