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41457439321 = 37255032
BaseRepresentation
bin100110100111000011…
…100101001001011001
310222000020111010101121
4212213003211021121
51134401101024241
631013440445241
72665232264014
oct464703451131
9128006433347
1041457439321
1116644709851
128050019821
133ba8cc25ac
142013d9237b
151129925ad1
hex9a70e5259

41457439321 has 9 divisors (see below), whose sum is σ = 42615937791. Its totient is φ = 40329637992.

The previous prime is 41457439313. The next prime is 41457439339. The reversal of 41457439321 is 12393475414.

The square root of 41457439321 is 203611.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 37096686025 + 4360753296 = 192605^2 + 66036^2 .

It is not a de Polignac number, because 41457439321 - 23 = 41457439313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41457439421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7530856 + ... + 7536358.

It is an arithmetic number, because the mean of its divisors is an integer number (4735104199).

Almost surely, 241457439321 is an apocalyptic number.

41457439321 is the 203611-st square number.

41457439321 is the 101806-th centered octagonal number.

It is an amenable number.

41457439321 is a deficient number, since it is larger than the sum of its proper divisors (1158498470).

41457439321 is an frugal number, since it uses more digits than its factorization.

41457439321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11080 (or 5540 counting only the distinct ones).

The product of its digits is 362880, while the sum is 43.

The spelling of 41457439321 in words is "forty-one billion, four hundred fifty-seven million, four hundred thirty-nine thousand, three hundred twenty-one".

Divisors: 1 37 1369 5503 203611 7533607 30283009 1120471333 41457439321