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42121352420 = 22571600118803
BaseRepresentation
bin100111001110101000…
…001101010011100100
311000201111202101221122
4213032220031103210
51142231031234140
631203354433112
73020543405510
oct471650152344
9130644671848
1042121352420
1116955450564
1281b6432798
133c83708294
142078215140
151167d6aab5
hex9cea0d4e4

42121352420 has 48 divisors (see below), whose sum is σ = 101102940288. Its totient is φ = 14439936000.

The previous prime is 42121352401. The next prime is 42121352423. The reversal of 42121352420 is 2425312124.

It is a self number, because there is not a number n which added to its sum of digits gives 42121352420.

It is not an unprimeable number, because it can be changed into a prime (42121352423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2230739 + ... + 2249541.

It is an arithmetic number, because the mean of its divisors is an integer number (2106311256).

Almost surely, 242121352420 is an apocalyptic number.

It is an amenable number.

42121352420 is an abundant number, since it is smaller than the sum of its proper divisors (58981587868).

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

42121352420 is a wasteful number, since it uses less digits than its factorization.

42121352420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34820 (or 34818 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 42121352420 its reverse (2425312124), we get a palindrome (44546664544).

The spelling of 42121352420 in words is "forty-two billion, one hundred twenty-one million, three hundred fifty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 16001 18803 32002 37606 64004 75212 80005 94015 112007 131621 160010 188030 224014 263242 320020 376060 448028 526484 560035 658105 1120070 1316210 2240140 2632420 300866803 601733606 1203467212 1504334015 2106067621 3008668030 4212135242 6017336060 8424270484 10530338105 21060676210 42121352420