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311443120040 = 235131931522583
BaseRepresentation
bin1001000100000110111…
…01001101111110101000
31002202220000011202101212
410202003131031332220
520100313414320130
6355024110532252
731333564561343
oct4420335157650
91082800152355
10311443120040
1111009a5817a8
1250439807088
13234a47b4560
1411106bdd45a
15817c0cce95
hex488374dfa8

311443120040 has 64 divisors (see below), whose sum is σ = 794369116800. Its totient is φ = 108942043392.

The previous prime is 311443120039. The next prime is 311443120049. The reversal of 311443120040 is 40021344113.

It is a junction number, because it is equal to n+sod(n) for n = 311443119988 and 311443120015.

It is not an unprimeable number, because it can be changed into a prime (311443120049) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15751412 + ... + 15771171.

It is an arithmetic number, because the mean of its divisors is an integer number (12412017450).

Almost surely, 2311443120040 is an apocalyptic number.

It is an amenable number.

311443120040 is an abundant number, since it is smaller than the sum of its proper divisors (482925996760).

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

311443120040 is a wasteful number, since it uses less digits than its factorization.

311443120040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31522626 (or 31522622 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 311443120040 its reverse (40021344113), we get a palindrome (351464464153).

The spelling of 311443120040 in words is "three hundred eleven billion, four hundred forty-three million, one hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 190 247 260 380 494 520 760 988 1235 1976 2470 4940 9880 31522583 63045166 126090332 157612915 252180664 315225830 409793579 598929077 630451660 819587158 1197858154 1260903320 1639174316 2048967895 2395716308 2994645385 3278348632 4097935790 4791432616 5989290770 7786078001 8195871580 11978581540 15572156002 16391743160 23957163080 31144312004 38930390005 62288624008 77860780010 155721560020 311443120040