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41027272014 = 231719101239877
BaseRepresentation
bin100110001101011010…
…100111110101001110
310220220021001100210010
4212031122213311032
51133010440201024
630503032454050
72651460025641
oct461532476516
9126807040703
1041027272014
1116443909783
127b4bb4a326
133b3ab4ab21
141db2bb7a58
151101ca3b29
hex98d6a7d4e

41027272014 has 128 divisors (see below), whose sum is σ = 92851660800. Its totient is φ = 12008908800.

The previous prime is 41027271983. The next prime is 41027272037.

41027272014 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46780944 + ... + 46781820.

It is an arithmetic number, because the mean of its divisors is an integer number (725403600).

Almost surely, 241027272014 is an apocalyptic number.

41027272014 is an abundant number, since it is smaller than the sum of its proper divisors (51824388786).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41027272014 is a wasteful number, since it uses less digits than its factorization.

41027272014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258.

The product of its (nonzero) digits is 6272, while the sum is 30.

The spelling of 41027272014 in words is "forty-one billion, twenty-seven million, two hundred seventy-two thousand, fourteen".

Divisors: 1 2 3 6 17 19 34 38 51 57 101 102 114 202 239 303 323 478 606 646 717 877 969 1434 1717 1754 1919 1938 2631 3434 3838 4063 4541 5151 5262 5757 8126 9082 10302 11514 12189 13623 14909 16663 24139 24378 27246 29818 32623 33326 44727 48278 49989 65246 72417 77197 88577 89454 97869 99978 144834 154394 177154 195738 209603 231591 265731 283271 410363 419206 458641 463182 531462 566542 628809 820726 849813 917282 1231089 1257618 1375923 1505809 1682963 1699626 2462178 2751846 3011618 3365926 3563251 3982457 4517427 5048889 7126502 7796897 7964914 9034854 10097778 10689753 11947371 15593794 21169903 21379506 23390691 23894742 28610371 42339806 46781382 57220742 63509709 67701769 85831113 127019418 135403538 171662226 203105307 359888351 402228157 406210614 719776702 804456314 1079665053 1206684471 2159330106 2413368942 6837878669 13675757338 20513636007 41027272014