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40003030431200 = 2552190126303939
BaseRepresentation
bin10010001100001111011100…
…11010110011010111100000
312020122020210222012212102002
421012013232122303113200
520220402201242244300
6221025045524543132
711266060246222064
oct1106075632632740
9166566728185362
1040003030431200
111182320a88a971
1245a0a31b51aa8
131942367375315
149c422ab63aa4
15495885cc25d5
hex2461ee6b35e0

40003030431200 has 72 divisors (see below), whose sum is σ = 97708773347640. Its totient is φ = 15992794304000.

The previous prime is 40003030431179. The next prime is 40003030431211. The reversal of 40003030431200 is 213403030004.

40003030431200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 11631170 + ... + 14672769.

It is an arithmetic number, because the mean of its divisors is an integer number (1357066296495).

Almost surely, 240003030431200 is an apocalyptic number.

40003030431200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40003030431200 is an abundant number, since it is smaller than the sum of its proper divisors (57705742916440).

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

40003030431200 is a wasteful number, since it uses less digits than its factorization.

40003030431200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26305860 (or 26305847 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 40003030431200 its reverse (213403030004), we get a palindrome (40216433461204).

The spelling of 40003030431200 in words is "forty trillion, three billion, thirty million, four hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 1901 3802 7604 9505 15208 19010 30416 38020 47525 60832 76040 95050 152080 190100 304160 380200 760400 1520800 26303939 52607878 105215756 131519695 210431512 263039390 420863024 526078780 657598475 841726048 1052157560 1315196950 2104315120 2630393900 4208630240 5260787800 10521575600 21043151200 50003788039 100007576078 200015152156 250018940195 400030304312 500037880390 800060608624 1000075760780 1250094700975 1600121217248 2000151521560 2500189401950 4000303043120 5000378803900 8000606086240 10000757607800 20001515215600 40003030431200