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40423121102200 = 2352594339789511
BaseRepresentation
bin10010011000011101111011…
…10001100010010101111000
312022010102010210221001212211
421030032331301202111320
520244243023000232300
6221550043033544504
711341321424055664
oct1114167561422570
9168112123831784
1040423121102200
11119753930407a1
12464a331575134
131972b650b6765
149da6bd2918a4
154a17713974ba
hex24c3bdc62578

40423121102200 has 96 divisors (see below), whose sum is σ = 95598850032000. Its totient is φ = 15891509923200.

The previous prime is 40423121102171. The next prime is 40423121102213. The reversal of 40423121102200 is 220112132404.

40423121102200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 50805445 + ... + 51594955.

It is an arithmetic number, because the mean of its divisors is an integer number (995821354500).

Almost surely, 240423121102200 is an apocalyptic number.

40423121102200 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 40423121102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47799425016000).

40423121102200 is an abundant number, since it is smaller than the sum of its proper divisors (55175728929800).

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

40423121102200 is a wasteful number, since it uses less digits than its factorization.

40423121102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793925 (or 793916 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 40423121102200 its reverse (220112132404), we get a palindrome (40643233234604).

The spelling of 40423121102200 in words is "forty trillion, four hundred twenty-three billion, one hundred twenty-one million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 200 236 295 472 590 1180 1475 2360 2950 4339 5900 8678 11800 17356 21695 34712 43390 86780 108475 173560 216950 256001 433900 512002 789511 867800 1024004 1280005 1579022 2048008 2560010 3158044 3947555 5120020 6316088 6400025 7895110 10240040 12800050 15790220 19737775 25600100 31580440 39475550 46581149 51200200 78951100 93162298 157902200 186324596 232905745 372649192 465811490 931622980 1164528725 1863245960 2329057450 3425688229 4658114900 6851376458 9316229800 13702752916 17128441145 27405505832 34256882290 68513764580 85642205725 137027529160 171284411450 202115605511 342568822900 404231211022 685137645800 808462422044 1010578027555 1616924844088 2021156055110 4042312110220 5052890137775 8084624220440 10105780275550 20211560551100 40423121102200