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40422234023000 = 2353313833404551
BaseRepresentation
bin10010011000011100010001…
…11001100110010001011000
312022010022211222201202222122
421030032020321212101120
520244234213402214000
6221545415024440412
711341260433033154
oct1114161071462130
9168108758652878
1040422234023000
1111974a78333a95
12464a124479108
131972a5339521b
149da63753a064
154a171d56e085
hex24c388e66458

40422234023000 has 128 divisors (see below), whose sum is σ = 97894215843840. Its totient is φ = 15606457200000.

The previous prime is 40422234022999. The next prime is 40422234023063. The reversal of 40422234023000 is 32043222404.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 10170725 + ... + 13575275.

It is an arithmetic number, because the mean of its divisors is an integer number (764798561280).

Almost surely, 240422234023000 is an apocalyptic number.

40422234023000 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 40422234023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48947107921920).

40422234023000 is an abundant number, since it is smaller than the sum of its proper divisors (57471981820840).

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

40422234023000 is a wasteful number, since it uses less digits than its factorization.

40422234023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404986 (or 3404972 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 40422234023000 its reverse (32043222404), we get a palindrome (40454277245404).

The spelling of 40422234023000 in words is "forty trillion, four hundred twenty-two billion, two hundred thirty-four million, twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 155 200 248 250 310 383 500 620 766 775 1000 1240 1532 1550 1915 3064 3100 3830 3875 6200 7660 7750 9575 11873 15320 15500 19150 23746 31000 38300 47492 47875 59365 76600 94984 95750 118730 191500 237460 296825 383000 474920 593650 1187300 1484125 2374600 2968250 3404551 5936500 6809102 11873000 13618204 17022755 27236408 34045510 68091020 85113775 105541081 136182040 170227550 211082162 340455100 422164324 425568875 527705405 680910200 844328648 851137750 1055410810 1303943033 1702275500 2110821620 2607886066 2638527025 3404551000 4221643240 5215772132 5277054050 6519715165 10431544264 10554108100 13039430330 13192635125 21108216200 26078860660 26385270250 32598575825 40422234023 52157721320 52770540500 65197151650 80844468046 105541081000 130394303300 161688936092 162992879125 202111170115 260788606600 323377872184 325985758250 404222340230 651971516500 808444680460 1010555850575 1303943033000 1616889360920 2021111701150 4042223402300 5052779252875 8084446804600 10105558505750 20211117011500 40422234023000