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480876331240340 = 225733314133249497
BaseRepresentation
bin110110101010110101011111…
…0111001111000101110010100
32100001122022212022221122121222
41231111222332321320232110
51001012134211244142330
64422423311543225512
7203201111525515220
oct15525527671705624
92301568768848558
10480876331240340
1112a249563624132
1245b2507a448298
131784259c388229
1486a6777d71780
153a8da6c1d30e5
hex1b55abee78b94

480876331240340 has 96 divisors (see below), whose sum is σ = 1154733621560064. Its totient is φ = 164781848724480.

The previous prime is 480876331240241. The next prime is 480876331240369. The reversal of 480876331240340 is 43042133678084.

It is a happy number.

It is a super-3 number, since 3×4808763312403403 (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1927258472 + ... + 1927507968.

It is an arithmetic number, because the mean of its divisors is an integer number (12028475224584).

Almost surely, 2480876331240340 is an apocalyptic number.

It is an amenable number.

480876331240340 is an abundant number, since it is smaller than the sum of its proper divisors (673857290319724).

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

480876331240340 is a wasteful number, since it uses less digits than its factorization.

480876331240340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256977 (or 256975 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 53.

The spelling of 480876331240340 in words is "four hundred eighty trillion, eight hundred seventy-six billion, three hundred thirty-one million, two hundred forty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 3331 4133 6662 8266 13324 16532 16655 20665 23317 28931 33310 41330 46634 57862 66620 82660 93268 115724 116585 144655 233170 249497 289310 466340 498994 578620 997988 1247485 1746479 2494970 3492958 4989940 6985916 8732395 13767023 17464790 27534046 34929580 55068092 68835115 96369161 137670230 192738322 275340460 385476644 481845805 831074507 963691610 1031171101 1662149014 1927383220 2062342202 3324298028 4124684404 4155372535 5155855505 5817521549 7218197707 8310745070 10311711010 11635043098 14436395414 16621490140 20623422020 23270086196 28872790828 29087607745 36090988535 58175215490 72181977070 116350430980 144363954140 3434830937431 6869661874862 13739323749724 17174154687155 24043816562017 34348309374310 48087633124034 68696618748620 96175266248068 120219082810085 240438165620170 480876331240340