Search a number
-
+
421113322044520 = 23572653329025629
BaseRepresentation
bin101111111000000000001010…
…1111110000111110001101000
32001020001001002110120101000121
41133300000111332013301220
5420144010040420411040
64051344442304213024
7154462301456131600
oct13760002576076150
92036031073511017
10421113322044520
111121a817a98a976
123b2926bb60a174
13150c8a7b627421
1475dbdca3a9c00
1533a41cd2ccc4a
hex17f0015f87c68

421113322044520 has 96 divisors (see below), whose sum is σ = 1103887569162600. Its totient is φ = 144160604754432.

The previous prime is 421113322044491. The next prime is 421113322044557. The reversal of 421113322044520 is 25440223311124.

It can be written as a sum of positive squares in 4 ways, for example, as 148405948111204 + 272707373933316 = 12182198^2 + 16513854^2 .

It is a super-2 number, since 2×4211133220445202 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163232935 + ... + 165792694.

Almost surely, 2421113322044520 is an apocalyptic number.

421113322044520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

421113322044520 is an abundant number, since it is smaller than the sum of its proper divisors (682774247118080).

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

421113322044520 is a wasteful number, since it uses less digits than its factorization.

421113322044520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329026307 (or 329026296 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 421113322044520 its reverse (25440223311124), we get a palindrome (446553545355644).

The spelling of 421113322044520 in words is "four hundred twenty-one trillion, one hundred thirteen billion, three hundred twenty-two million, forty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 653 980 1306 1960 2612 3265 4571 5224 6530 9142 13060 18284 22855 26120 31997 36568 45710 63994 91420 127988 159985 182840 255976 319970 639940 1279880 329025629 658051258 1316102516 1645128145 2303179403 2632205032 3290256290 4606358806 6580512580 9212717612 11515897015 13161025160 16122255821 18425435224 23031794030 32244511642 46063588060 64489023284 80611279105 92127176120 128978046568 161222558210 214853735737 322445116420 429707471474 644890232840 859414942948 1074268678685 1503976150159 1718829885896 2148537357370 3007952300318 4297074714740 6015904600636 7519880750795 8594149429480 10527833051113 12031809201272 15039761501590 21055666102226 30079523003180 42111332204452 52639165255565 60159046006360 84222664408904 105278330511130 210556661022260 421113322044520