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421214001343120 = 24543229534698387
BaseRepresentation
bin101111111000101111000011…
…0111011001010101010010000
32001020101122221222102122202201
41133301132012323022222100
5420202132233320434440
64051503012455052544
7154502464422061516
oct13761360673125220
92036348858378681
10421214001343120
11112236944806077
123b2aa118971154
1315105404aa87ab
147602c1b7364b6
1533a6b21e9b19a
hex17f1786ecaa90

421214001343120 has 80 divisors (see below), whose sum is σ = 1006473469700160. Its totient is φ = 163848695818752.

The previous prime is 421214001343111. The next prime is 421214001343193. The reversal of 421214001343120 is 21343100412124.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266561434 + ... + 268136953.

It is an arithmetic number, because the mean of its divisors is an integer number (12580918371252).

Almost surely, 2421214001343120 is an apocalyptic number.

421214001343120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

421214001343120 is an abundant number, since it is smaller than the sum of its proper divisors (585259468357040).

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

421214001343120 is a wasteful number, since it uses less digits than its factorization.

421214001343120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534698672 (or 534698666 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 421214001343120 its reverse (21343100412124), we get a palindrome (442557101755244).

The spelling of 421214001343120 in words is "four hundred twenty-one trillion, two hundred fourteen billion, one million, three hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 229 344 430 458 688 860 916 1145 1720 1832 2290 3440 3664 4580 9160 9847 18320 19694 39388 49235 78776 98470 157552 196940 393880 787760 534698387 1069396774 2138793548 2673491935 4277587096 5346983870 8555174192 10693967740 21387935480 22992030641 42775870960 45984061282 91968122564 114960153205 122445930623 183936245128 229920306410 244891861246 367872490256 459840612820 489783722492 612229653115 919681225640 979567444984 1224459306230 1839362451280 1959134889968 2448918612460 4897837224920 5265175016789 9795674449840 10530350033578 21060700067156 26325875083945 42121400134312 52651750167890 84242800268624 105303500335780 210607000671560 421214001343120