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41472074231 = 7193116771481
BaseRepresentation
bin100110100111111011…
…011010000111110111
310222001021000122201022
4212213323122013313
51134413322333411
631015122251355
72665500546260
oct464773320767
9128037018638
1041472074231
11166519a5215
128054ab6b5b
133bac0479c3
142015cc1967
15112ad66edb
hex9a7eda1f7

41472074231 has 32 divisors (see below), whose sum is σ = 50159416320. Its totient is φ = 33496070400.

The previous prime is 41472074173. The next prime is 41472074233. The reversal of 41472074231 is 13247027414.

It is a cyclic number.

It is not a de Polignac number, because 41472074231 - 230 = 40398332407 is a prime.

It is a super-4 number, since 4×414720742314 (a number of 44 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 41472074191 and 41472074200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41472074233) 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, 28002011 + ... + 28003491.

It is an arithmetic number, because the mean of its divisors is an integer number (1567481760).

Almost surely, 241472074231 is an apocalyptic number.

41472074231 is a deficient number, since it is larger than the sum of its proper divisors (8687342089).

41472074231 is a wasteful number, since it uses less digits than its factorization.

41472074231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2495.

The product of its (nonzero) digits is 37632, while the sum is 35.

The spelling of 41472074231 in words is "forty-one billion, four hundred seventy-two million, seventy-four thousand, two hundred thirty-one".

Divisors: 1 7 19 133 311 677 1481 2177 4739 5909 10367 12863 28139 41363 90041 196973 210547 460591 1002637 1473829 3224137 4000393 7018459 8751229 19050103 28002751 61258603 133350721 311820107 2182740749 5924582033 41472074231