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42121442413220 = 22517317390809449
BaseRepresentation
bin10011001001111001010011…
…00111001100101010100100
312112010202210202002122201212
421210330221213030222210
521010104203224210340
6225330153513410552
711605113416035412
oct1144745147145244
9175122722078655
1042121442413220
111246a670158415
124883501a09a58
131a6705bac4a31
14a5898daa42b2
154d0a1e621a65
hex264f299ccaa4

42121442413220 has 48 divisors (see below), whose sum is σ = 93953718255600. Its totient is φ = 15807460552704.

The previous prime is 42121442413151. The next prime is 42121442413313. The reversal of 42121442413220 is 2231424412124.

It can be written as a sum of positive squares in 8 ways, for example, as 115774145536 + 42005668267684 = 340256^2 + 6481178^2 .

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, 195296945 + ... + 195512504.

It is an arithmetic number, because the mean of its divisors is an integer number (1957369130325).

Almost surely, 242121442413220 is an apocalyptic number.

It is an amenable number.

42121442413220 is an abundant number, since it is smaller than the sum of its proper divisors (51832275842380).

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

42121442413220 is a wasteful number, since it uses less digits than its factorization.

42121442413220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390809792 (or 390809790 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 42121442413220 its reverse (2231424412124), we get a palindrome (44352866825344).

The spelling of 42121442413220 in words is "forty-two trillion, one hundred twenty-one billion, four hundred forty-two million, four hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 317 340 634 1268 1585 3170 5389 6340 10778 21556 26945 53890 107780 390809449 781618898 1563237796 1954047245 3908094490 6643760633 7816188980 13287521266 26575042532 33218803165 66437606330 123886595333 132875212660 247773190666 495546381332 619432976665 1238865953330 2106072120661 2477731906660 4212144241322 8424288482644 10530360603305 21060721206610 42121442413220