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13805462040 = 2335235001979
BaseRepresentation
bin11001101101101111…
…01010001000011000
31022122010102010122220
430312313222020120
5211233144241130
610201522544040
7666053330316
oct146667521030
938563363586
1013805462040
115944906a67
122813508020
1313c0217a66
1494d7170b6
1555c007410
hex336dea218

13805462040 has 64 divisors (see below), whose sum is σ = 43217107200. Its totient is φ = 3521392512.

The previous prime is 13805462023. The next prime is 13805462059. The reversal of 13805462040 is 4026450831.

13805462040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13805461992 and 13805462010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2498230 + ... + 2503749.

It is an arithmetic number, because the mean of its divisors is an integer number (675267300).

Almost surely, 213805462040 is an apocalyptic number.

13805462040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13805462040 is an abundant number, since it is smaller than the sum of its proper divisors (29411645160).

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

13805462040 is a wasteful number, since it uses less digits than its factorization.

13805462040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5002016 (or 5002012 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 13805462040 in words is "thirteen billion, eight hundred five million, four hundred sixty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 5001979 10003958 15005937 20007916 25009895 30011874 40015832 50019790 60023748 75029685 100039580 115045517 120047496 150059370 200079160 230091034 300118740 345136551 460182068 575227585 600237480 690273102 920364136 1150455170 1380546204 1725682755 2300910340 2761092408 3451365510 4601820680 6902731020 13805462040