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201401431441 = 7193896416073
BaseRepresentation
bin1011101110010001110…
…1011111010110010001
3201020212000022210000121
42323210131133112101
511244432231301231
6232304511350241
720356625630650
oct2734435372621
9636760283017
10201401431441
1178460948401
1233048b22381
1315cb877c352
149a68287197
15538b4ed311
hex2ee475f591

201401431441 has 32 divisors (see below), whose sum is σ = 243329299200. Its totient is φ = 162842296320.

The previous prime is 201401431423. The next prime is 201401431481. The reversal of 201401431441 is 144134104102.

It is a cyclic number.

It is not a de Polignac number, because 201401431441 - 219 = 201400907153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201401431411) 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, 33160381 + ... + 33166453.

It is an arithmetic number, because the mean of its divisors is an integer number (7604040600).

Almost surely, 2201401431441 is an apocalyptic number.

It is an amenable number.

201401431441 is a deficient number, since it is larger than the sum of its proper divisors (41927867759).

201401431441 is a wasteful number, since it uses less digits than its factorization.

201401431441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7129.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 201401431441 its reverse (144134104102), we get a palindrome (345535535543).

The spelling of 201401431441 in words is "two hundred one billion, four hundred one million, four hundred thirty-one thousand, four hundred forty-one".

Divisors: 1 7 19 133 389 641 2723 4487 6073 7391 12179 42511 51737 85253 115387 249349 807709 1745443 2362397 3892793 4737631 16536779 27249551 33163417 44885543 73963067 314198801 517741469 1514296477 10600075339 28771633063 201401431441