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31434444221401 = 132349532958821
BaseRepresentation
bin1110010010110111001101…
…11000011010101111011001
311010022002210110120021222201
413021123212320122233121
513110010220210041101
6150504441225050201
76423030555162634
oct711334670325731
9133262713507881
1031434444221401
11a01a3002a5721
123638257926961
131470342085300
147a961434ac1b
15397a36cd3e01
hex1c96e6e1abd9

31434444221401 has 12 divisors (see below), whose sum is σ = 34136012549100. Its totient is φ = 28933268420160.

The previous prime is 31434444221339. The next prime is 31434444221483. The reversal of 31434444221401 is 10412244443413.

It can be written as a sum of positive squares in 6 ways, for example, as 6703679376 + 31427740542025 = 81876^2 + 5606045^2 .

It is not a de Polignac number, because 31434444221401 - 213 = 31434444213209 is a prime.

It is a super-2 number, since 2×314344442214012 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31434444221701) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 266420430 + ... + 266538391.

It is an arithmetic number, because the mean of its divisors is an integer number (2844667712425).

Almost surely, 231434444221401 is an apocalyptic number.

It is an amenable number.

31434444221401 is a deficient number, since it is larger than the sum of its proper divisors (2701568327699).

31434444221401 is a wasteful number, since it uses less digits than its factorization.

31434444221401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532959196 (or 532959183 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 37.

Adding to 31434444221401 its reverse (10412244443413), we get a palindrome (41846688664814).

The spelling of 31434444221401 in words is "thirty-one trillion, four hundred thirty-four billion, four hundred forty-four million, two hundred twenty-one thousand, four hundred one".

Divisors: 1 13 169 349 4537 58981 532958821 6928464673 90070040749 186002628529 2418034170877 31434444221401