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40422222243300 = 22352675417371249
BaseRepresentation
bin10010011000011100010000…
…01100101010010111100100
312022010022211011120022021110
421030032020030222113210
520244234202343241200
6221545413524145020
711341260230642052
oct1114161014522744
9168108734508243
1040422222243300
1111974a717187a7
12464a120538170
131972a50acc5a1
149da635b511d2
154a171c4e3b50
hex24c38832a5e4

40422222243300 has 144 divisors (see below), whose sum is σ = 118722791880000. Its totient is φ = 10616386007040.

The previous prime is 40422222243287. The next prime is 40422222243317. The reversal of 40422222243300 is 334222222404.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 108696076 + ... + 109067324.

It is an arithmetic number, because the mean of its divisors is an integer number (824463832500).

Almost surely, 240422222243300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40422222243300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59361395940000).

40422222243300 is an abundant number, since it is smaller than the sum of its proper divisors (78300569636700).

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

40422222243300 is a wasteful number, since it uses less digits than its factorization.

40422222243300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376750 (or 376743 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 40422222243300 its reverse (334222222404), we get a palindrome (40756444465704).

The spelling of 40422222243300 in words is "forty trillion, four hundred twenty-two billion, two hundred twenty-two million, two hundred forty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 67 75 100 134 150 201 268 300 335 402 670 804 1005 1340 1675 2010 3350 4020 5025 5417 6700 10050 10834 16251 20100 21668 27085 32502 54170 65004 81255 108340 135425 162510 270850 325020 362939 371249 406275 541700 725878 742498 812550 1088817 1113747 1451756 1484996 1625100 1814695 1856245 2177634 2227494 3629390 3712490 4355268 4454988 5444085 5568735 7258780 7424980 9073475 9281225 10888170 11137470 18146950 18562450 21776340 22274940 24873683 27220425 27843675 36293900 37124900 49747366 54440850 55687350 74621049 99494732 108881700 111374700 124368415 149242098 248736830 298484196 373105245 497473660 621842075 746210490 1243684150 1492420980 1865526225 2011055833 2487368300 3731052450 4022111666 6033167499 7462104900 8044223332 10055279165 12066334998 20110558330 24132669996 30165837495 40221116660 50276395825 60331674990 100552791650 120663349980 134740740811 150829187475 201105583300 269481481622 301658374950 404222222433 538962963244 603316749900 673703704055 808444444866 1347407408110 1616888889732 2021111112165 2694814816220 3368518520275 4042222224330 6737037040550 8084444448660 10105555560825 13474074081100 20211111121650 40422222243300