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480820213420000 = 255424199755231
BaseRepresentation
bin110110101010011011010111…
…0000001011000111111100000
32100001102222000101101000012121
41231110312232001120333200
51001010224244113420000
64422341431235434024
7203164054056101446
oct15524665601307740
92301388011330177
10480820213420000
1112a227786578113
1245b16218755914
131783a1c800998c
1486a3b72d22b96
153a8c3856d0b1a
hex1b54dae058fe0

480820213420000 has 120 divisors (see below), whose sum is σ = 1187798116583232. Its totient is φ = 191530041600000.

The previous prime is 480820213419983. The next prime is 480820213420009. The reversal of 480820213420000 is 24312028084.

It is a super-3 number, since 3×4808202134200003 (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480820213420009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45057616 + ... + 54697615.

Almost surely, 2480820213420000 is an apocalyptic number.

480820213420000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480820213420000 is an abundant number, since it is smaller than the sum of its proper divisors (706977903163232).

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

480820213420000 is an equidigital number, since it uses as much as digits as its factorization.

480820213420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99755502 (or 99755479 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

Adding to 480820213420000 its reverse (24312028084), we get a palindrome (480844525448084).

The spelling of 480820213420000 in words is "four hundred eighty trillion, eight hundred twenty billion, two hundred thirteen million, four hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 241 250 400 482 500 625 800 964 1000 1205 1250 1928 2000 2410 2500 3856 4000 4820 5000 6025 7712 9640 10000 12050 19280 20000 24100 30125 38560 48200 60250 96400 120500 150625 192800 241000 301250 482000 602500 964000 1205000 2410000 4820000 99755231 199510462 399020924 498776155 798041848 997552310 1596083696 1995104620 2493880775 3192167392 3990209240 4987761550 7980418480 9975523100 12469403875 15960836960 19951046200 24041010671 24938807750 39902092400 48082021342 49877615500 62347019375 79804184800 96164042684 99755231000 120205053355 124694038750 192328085368 199510462000 240410106710 249388077500 384656170736 399020924000 480820213420 498776155000 601025266775 769312341472 961640426840 997552310000 1202050533550 1923280853680 1995104620000 2404101067100 3005126333875 3846561707360 4808202134200 6010252667750 9616404268400 12020505335500 15025631669375 19232808536800 24041010671000 30051263338750 48082021342000 60102526677500 96164042684000 120205053355000 240410106710000 480820213420000