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421122440514120 = 233517896047324397
BaseRepresentation
bin101111111000000100011010…
…1011110010100101001001000
32001020001220121221120121202220
41133300020311132110221020
5420144132224232422440
64051352551200454040
7154463043440631222
oct13760106536245110
92036056557517686
10421122440514120
1111220102a038064
123b29442531a320
13150c98a27b6b77
1475dc61341d412
1533a4563aab8d0
hex17f0235794a48

421122440514120 has 128 divisors (see below), whose sum is σ = 1264286446617600. Its totient is φ = 112217638726656.

The previous prime is 421122440514107. The next prime is 421122440514121. The reversal of 421122440514120 is 21415044221124.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (421122440514121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1298007762 + ... + 1298332158.

It is an arithmetic number, because the mean of its divisors is an integer number (9877237864200).

Almost surely, 2421122440514120 is an apocalyptic number.

421122440514120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

421122440514120 is an abundant number, since it is smaller than the sum of its proper divisors (843164006103480).

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

421122440514120 is a wasteful number, since it uses less digits than its factorization.

421122440514120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332247 (or 332243 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

Adding to 421122440514120 its reverse (21415044221124), we get a palindrome (442537484735244).

The spelling of 421122440514120 in words is "four hundred twenty-one trillion, one hundred twenty-two billion, four hundred forty million, five hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1789 3578 5367 6047 7156 8945 10734 12094 14312 17890 18141 21468 24188 26835 30235 35780 36282 42936 48376 53670 60470 71560 72564 90705 107340 120940 145128 181410 214680 241880 324397 362820 648794 725640 973191 1297588 1621985 1946382 2595176 3243970 3892764 4865955 6487940 7785528 9731910 10818083 12975880 19463820 21636166 32454249 38927640 43272332 54090415 64908498 86544664 108180830 129816996 162271245 216361660 259633992 324542490 432723320 580346233 649084980 1160692466 1298169960 1741038699 1961628659 2321384932 2901731165 3482077398 3923257318 4642769864 5803462330 5884885977 6964154796 7846514636 8705193495 9808143295 11606924660 11769771954 13928309592 15693029272 17410386990 19616286590 23213849320 23539543908 29424429885 34820773980 39232573180 47079087816 58848859770 69641547960 78465146360 117697719540 235395439080 3509353670951 7018707341902 10528061012853 14037414683804 17546768354755 21056122025706 28074829367608 35093536709510 42112244051412 52640305064265 70187073419020 84224488102824 105280610128530 140374146838040 210561220257060 421122440514120