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4434214120104 = 23317291632299169
BaseRepresentation
bin100000010000110101111…
…0000011110101010101000
3120200220111000011110022110
41000201223300132222220
51040122232303320404
613233014433322320
7635234650063326
oct100415360365250
916626430143273
104434214120104
11145a5a32a888a
125b74694063a0
132621b58ac852
1411488d4bad16
157a52644ab89
hex4086bc1eaa8

4434214120104 has 128 divisors (see below), whose sum is σ = 12216869712000. Its totient is φ = 1334915334144.

The previous prime is 4434214120099. The next prime is 4434214120129. The reversal of 4434214120104 is 4010214124344.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 779032 + ... + 3078200.

It is an arithmetic number, because the mean of its divisors is an integer number (95444294625).

Almost surely, 24434214120104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4434214120104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6108434856000).

4434214120104 is an abundant number, since it is smaller than the sum of its proper divisors (7782655591896).

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

4434214120104 is a wasteful number, since it uses less digits than its factorization.

4434214120104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2299387 (or 2299383 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 4434214120104 its reverse (4010214124344), we get a palindrome (8444428244448).

The spelling of 4434214120104 in words is "four trillion, four hundred thirty-four billion, two hundred fourteen million, one hundred twenty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 17 24 29 34 51 58 68 87 102 116 136 163 174 204 232 326 348 408 489 493 652 696 978 986 1304 1479 1956 1972 2771 2958 3912 3944 4727 5542 5916 8313 9454 11084 11832 14181 16626 18908 22168 28362 33252 37816 56724 66504 80359 113448 160718 241077 321436 482154 642872 964308 1928616 2299169 4598338 6897507 9196676 13795014 18393352 27590028 39085873 55180056 66675901 78171746 117257619 133351802 156343492 200027703 234515238 266703604 312686984 374764547 400055406 469030476 533407208 749529094 800110812 938060952 1124293641 1133490317 1499058188 1600221624 2248587282 2266980634 2998116376 3400470951 4497174564 4533961268 6370997299 6800941902 8994349128 9067922536 10868171863 12741994598 13601883804 19112991897 21736343726 25483989196 27203767608 32604515589 38225983794 43472687452 50967978392 65209031178 76451967588 86945374904 130418062356 152903935176 184758921671 260836124712 369517843342 554276765013 739035686684 1108553530026 1478071373368 2217107060052 4434214120104