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34414211244413 = 711135910323923671
BaseRepresentation
bin1111101001100101011101…
…10101100010000101111101
311111211222002112220211211202
413310302232311202011331
514002320301034310123
6201105400445425245
710151226144030650
oct764625665420575
9144758075824752
1034414211244413
11aa68a92086310
123a3985586b225
131628327b78280
1486d92a033897
153ea2d50dba28
hex1f4caed6217d

34414211244413 has 128 divisors (see below), whose sum is σ = 47646395596800. Its totient is φ = 23995835539200.

The previous prime is 34414211244409. The next prime is 34414211244481. The reversal of 34414211244413 is 31444211241443.

It is not a de Polignac number, because 34414211244413 - 22 = 34414211244409 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34414211244313) 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, 1453843568 + ... + 1453867238.

It is an arithmetic number, because the mean of its divisors is an integer number (372237465600).

Almost surely, 234414211244413 is an apocalyptic number.

It is an amenable number.

34414211244413 is a deficient number, since it is larger than the sum of its proper divisors (13232184352387).

34414211244413 is a wasteful number, since it uses less digits than its factorization.

34414211244413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24103.

The product of its digits is 147456, while the sum is 38.

Adding to 34414211244413 its reverse (31444211241443), we get a palindrome (65858422485856).

The spelling of 34414211244413 in words is "thirty-four trillion, four hundred fourteen billion, two hundred eleven million, two hundred forty-four thousand, four hundred thirteen".

Divisors: 1 7 11 13 59 77 91 103 143 239 413 649 721 767 1001 1133 1339 1673 2629 3107 4543 5369 6077 7931 8437 9373 14101 14729 18403 21749 23671 24617 34177 42539 59059 66847 79001 98707 103103 155111 165697 172319 183313 239239 260381 270787 307723 320021 467929 553007 869011 1085777 1283191 1396589 1452403 1822667 1895509 2016443 2154061 2240147 2438113 3384953 3520231 5657369 6083077 9776123 10166821 14115101 15362479 15976433 17066791 18155657 18881239 23694671 24641617 26819243 31695469 39601583 62231059 73545797 107537353 111835031 127089599 132168673 143848667 187734701 199712227 207693629 221868283 333784771 348650159 435617413 514820579 582709007 809003767 1006940669 1397985589 1453855403 1582335337 1870032671 2336493397 2440551113 3671632481 4078963049 4339202023 5663026369 6409799077 7575217091 11076347359 13090228697 20570359381 25701427367 30374414161 34379831413 44868593539 47731222253 53026519637 83327388001 143992515667 240658819891 334118555771 378178145543 446937808369 583291716007 2647247018801 3128564658583 4916315892059 34414211244413