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34020444021441 = 3193137095190947
BaseRepresentation
bin1111011110001000000000…
…11110110010001011000001
311110110022201020102100120120
413233010000132302023001
513424342332132141231
6200204435355330453
710110616213615353
oct757040036621301
9143408636370516
1034020444021441
11a926a97814609
123995481a50a29
1315ca1638c7c97
148588539550d3
153dee3a9abd96
hex1ef1007b22c1

34020444021441 has 32 divisors (see below), whose sum is σ = 49301547724800. Its totient is φ = 20787869989440.

The previous prime is 34020444021439. The next prime is 34020444021451. The reversal of 34020444021441 is 14412044402043.

It is not a de Polignac number, because 34020444021441 - 21 = 34020444021439 is a prime.

It is a super-2 number, since 2×340204440214412 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34020444021401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3958330 + ... + 9149276.

It is an arithmetic number, because the mean of its divisors is an integer number (1540673366400).

Almost surely, 234020444021441 is an apocalyptic number.

34020444021441 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

34020444021441 is a deficient number, since it is larger than the sum of its proper divisors (15281103703359).

34020444021441 is a wasteful number, since it uses less digits than its factorization.

34020444021441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5194709.

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 34020444021441 its reverse (14412044402043), we get a palindrome (48432488423484).

The spelling of 34020444021441 in words is "thirty-four trillion, twenty billion, four hundred forty-four million, twenty-one thousand, four hundred forty-one".

Divisors: 1 3 19 31 57 93 589 1767 3709 11127 70471 114979 211413 344937 2184601 5190947 6553803 15572841 98627993 160919357 295883979 482758071 3057467783 9172403349 19253222423 57759667269 365811226037 596849895113 1097433678111 1790549685339 11340148007147 34020444021441