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4431004111105 = 5111343475951973
BaseRepresentation
bin100000001111010110001…
…1011010001000100000001
3120200121012021222002210021
41000132230123101010001
51040044144023023410
613231324123533441
7635062261335445
oct100365433210401
916617167862707
104431004111105
1114591a6339590
125b691238a281
13261ac3848340
14114667048825
157a3d9721eda
hex407ac6d1101

4431004111105 has 128 divisors (see below), whose sum is σ = 6638834442240. Its totient is φ = 2795411727360.

The previous prime is 4431004111103. The next prime is 4431004111141. The reversal of 4431004111105 is 5011114001344.

It is not a de Polignac number, because 4431004111105 - 21 = 4431004111103 is a prime.

It is a super-2 number, since 2×44310041111052 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4431004111105.

It is not an unprimeable number, because it can be changed into a prime (4431004111103) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 85229899 + ... + 85281871.

It is an arithmetic number, because the mean of its divisors is an integer number (51865894080).

Almost surely, 24431004111105 is an apocalyptic number.

It is an amenable number.

4431004111105 is a deficient number, since it is larger than the sum of its proper divisors (2207830331135).

4431004111105 is a wasteful number, since it uses less digits than its factorization.

4431004111105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52151.

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 4431004111105 its reverse (5011114001344), we get a palindrome (9442118112449).

The spelling of 4431004111105 in words is "four trillion, four hundred thirty-one billion, four million, one hundred eleven thousand, one hundred five".

Divisors: 1 5 11 13 43 47 55 59 65 143 215 235 295 473 517 559 611 649 715 767 2021 2365 2537 2585 2773 2795 3055 3245 3835 6149 6721 8437 10105 12685 13865 22231 26273 27907 30503 30745 32981 33605 36049 42185 51973 111155 119239 131365 139535 152515 164905 180245 259865 289003 362791 396539 571703 596195 675649 1311629 1445015 1550107 1813955 1982695 2234839 2442731 2858515 3066407 3378245 6558145 7432139 7750535 11174195 12213655 15332035 17051177 24583229 26870041 29052907 31755503 33730477 37160695 39863291 85255885 105037433 122916145 131855501 134350205 144121129 145264535 158777515 168652385 199316455 319581977 349310533 438496201 525187165 659277505 720605645 1155411763 1365486629 1450410511 1585332419 1597909885 1714121513 1746552665 1873574677 2192481005 5777058815 6197208547 6827433145 7252052555 7926662095 8570607565 9367873385 15020352919 18855336643 20609321447 30986042735 68169294017 75101764595 80563711111 94276683215 103046607235 340846470085 402818555555 886200822221 4431004111105