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505415430040000 = 265412635385751
BaseRepresentation
bin111001011101011000011001…
…1001010111110100111000000
32110021112020120022121101111111
41302322300303022332213000
51012221211300042240000
64550532350533453104
7211313026341665314
oct16272606312764700
92407466508541444
10505415430040000
1113704a5311170a7
1248828a90aa1194
1318902616a40b6c
148cb434736db44
153d67036476cba
hex1cbac332be9c0

505415430040000 has 70 divisors (see below), whose sum is σ = 1253266006583624. Its totient is φ = 202166172000000.

The previous prime is 505415430039997. The next prime is 505415430040021. The reversal of 505415430040000 is 40034514505.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6317652876 + ... + 6317732875.

Almost surely, 2505415430040000 is an apocalyptic number.

505415430040000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

505415430040000 is an abundant number, since it is smaller than the sum of its proper divisors (747850576543624).

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

505415430040000 is an equidigital number, since it uses as much as digits as its factorization.

505415430040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12635385783 (or 12635385758 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

Adding to 505415430040000 its reverse (40034514505), we get a palindrome (505455464554505).

The spelling of 505415430040000 in words is "five hundred five trillion, four hundred fifteen billion, four hundred thirty million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 20000 40000 12635385751 25270771502 50541543004 63176928755 101083086008 126353857510 202166172016 252707715020 315884643775 404332344032 505415430040 631769287550 808664688064 1010830860080 1263538575100 1579423218875 2021661720160 2527077150200 3158846437750 4043323440320 5054154300400 6317692875500 7897116094375 10108308600800 12635385751000 15794232188750 20216617201600 25270771502000 31588464377500 50541543004000 63176928755000 101083086008000 126353857510000 252707715020000 505415430040000