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401441343441 = 31713971517919
BaseRepresentation
bin1011101011101111100…
…01001100011111010001
31102101012010201012111020
411311313301030133101
523034122440442231
6504230345110053
741001043055325
oct5656761143721
91371163635436
10401441343441
1114528319a026
1265975a88329
132bb18133c98
1415603797985
15a698208396
hex5d77c4c7d1

401441343441 has 32 divisors (see below), whose sum is σ = 570969907200. Its totient is φ = 250006099200.

The previous prime is 401441343437. The next prime is 401441343461. The reversal of 401441343441 is 144343144104.

It is not a de Polignac number, because 401441343441 - 22 = 401441343437 is a prime.

It is a super-3 number, since 3×4014413434413 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (401441343461) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 50689480 + ... + 50697398.

It is an arithmetic number, because the mean of its divisors is an integer number (17842809600).

Almost surely, 2401441343441 is an apocalyptic number.

It is an amenable number.

401441343441 is a deficient number, since it is larger than the sum of its proper divisors (169528563759).

401441343441 is a wasteful number, since it uses less digits than its factorization.

401441343441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15229.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 401441343441 its reverse (144343144104), we get a palindrome (545784487545).

The spelling of 401441343441 in words is "four hundred one billion, four hundred forty-one million, three hundred forty-three thousand, four hundred forty-one".

Divisors: 1 3 17 51 139 417 2363 7089 7151 7919 21453 23757 121567 134623 364701 403869 993989 1100741 2981967 3302223 16897813 18712597 50693439 56137791 56628769 169886307 962689073 2888067219 7871398891 23614196673 133813781147 401441343441