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202042433440 = 2556120701069
BaseRepresentation
bin1011110000101010101…
…0101101111110100000
3201022111200111001110101
42330022222231332200
511302240330332230
6232452250312144
720411541230311
oct2741252557640
9638450431411
10202042433440
117875a760721
12331a7728654
131608b502883
149ac9464608
1553c7919aca
hex2f0aaadfa0

202042433440 has 48 divisors (see below), whose sum is σ = 485150276520. Its totient is φ = 79492101120.

The previous prime is 202042433419. The next prime is 202042433479. The reversal of 202042433440 is 44334240202.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 156141941904 + 45900491536 = 395148^2 + 214244^2 .

It is a super-2 number, since 2×2020424334402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202042433399 and 202042433408.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10340775 + ... + 10360294.

Almost surely, 2202042433440 is an apocalyptic number.

202042433440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202042433440 is an abundant number, since it is smaller than the sum of its proper divisors (283107843080).

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

202042433440 is a wasteful number, since it uses less digits than its factorization.

202042433440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20701145 (or 20701137 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 202042433440 its reverse (44334240202), we get a palindrome (246376673642).

The spelling of 202042433440 in words is "two hundred two billion, forty-two million, four hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 244 305 488 610 976 1220 1952 2440 4880 9760 20701069 41402138 82804276 103505345 165608552 207010690 331217104 414021380 662434208 828042760 1262765209 1656085520 2525530418 3312171040 5051060836 6313826045 10102121672 12627652090 20204243344 25255304180 40408486688 50510608360 101021216720 202042433440