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402241021020 = 223252638496853
BaseRepresentation
bin1011101101001110110…
…11101110010001011100
31102110020212110000220100
411312213123232101130
523042242200133040
6504441553021100
741026623156666
oct5664733562134
91373225400810
10402241021020
1114565362a693
1265b59854790
132bc14a03197
141567ba7b536
15a6e3519b30
hex5da76ee45c

402241021020 has 72 divisors (see below), whose sum is σ = 1224770522976. Its totient is φ = 106856410752.

The previous prime is 402241020991. The next prime is 402241021109. The reversal of 402241021020 is 20120142204.

402241021020 is a `hidden beast` number, since 4 + 0 + 22 + 410 + 210 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 402241020984 and 402241021002.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4201087 + ... + 4295766.

It is an arithmetic number, because the mean of its divisors is an integer number (17010701708).

Almost surely, 2402241021020 is an apocalyptic number.

It is an amenable number.

402241021020 is an abundant number, since it is smaller than the sum of its proper divisors (822529501956).

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

402241021020 is a wasteful number, since it uses less digits than its factorization.

402241021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8497131 (or 8497126 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 402241021020 its reverse (20120142204), we get a palindrome (422361163224).

The spelling of 402241021020 in words is "four hundred two billion, two hundred forty-one million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 263 526 789 1052 1315 1578 2367 2630 3156 3945 4734 5260 7890 9468 11835 15780 23670 47340 8496853 16993706 25490559 33987412 42484265 50981118 76471677 84968530 101962236 127452795 152943354 169937060 254905590 305886708 382358385 509811180 764716770 1529433540 2234672339 4469344678 6704017017 8938689356 11173361695 13408034034 20112051051 22346723390 26816068068 33520085085 40224102102 44693446780 67040170170 80448204204 100560255255 134080340340 201120510510 402241021020