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40312243433120 = 255359701814823
BaseRepresentation
bin10010010101001111011001…
…11100110010111010100000
312021201210221120000212212112
421022213230330302322200
520240433433304324440
6221423104452414452
711330314654324361
oct1112475474627240
9167653846025775
1040312243433120
111193236553093a
124630948917428
131965574b11549
149d51a16c5b68
1549d9321d4965
hex24a9ecf32ea0

40312243433120 has 48 divisors (see below), whose sum is σ = 95502961249920. Its totient is φ = 16079981201664.

The previous prime is 40312243433093. The next prime is 40312243433197. The reversal of 40312243433120 is 2133434221304.

40312243433120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×403122434331202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 350849972 + ... + 350964851.

It is an arithmetic number, because the mean of its divisors is an integer number (1989645026040).

Almost surely, 240312243433120 is an apocalyptic number.

40312243433120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40312243433120 is an abundant number, since it is smaller than the sum of its proper divisors (55190717816800).

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

40312243433120 is a wasteful number, since it uses less digits than its factorization.

40312243433120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701815197 (or 701815189 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 40312243433120 its reverse (2133434221304), we get a palindrome (42445677654424).

The spelling of 40312243433120 in words is "forty trillion, three hundred twelve billion, two hundred forty-three million, four hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 359 718 1436 1795 2872 3590 5744 7180 11488 14360 28720 57440 701814823 1403629646 2807259292 3509074115 5614518584 7018148230 11229037168 14036296460 22458074336 28072592920 56145185840 112290371680 251951521457 503903042914 1007806085828 1259757607285 2015612171656 2519515214570 4031224343312 5039030429140 8062448686624 10078060858280 20156121716560 40312243433120