Search a number
-
+
4444440067000 = 2353172111239041
BaseRepresentation
bin100000010101100110101…
…0001010111101110111000
3120201212212200002101022101
41000223031101113232320
51040304203124121000
613241425251033144
7636046240150513
oct100531521275670
916655780071271
104444440067000
11146397060806a
125b9441b9b7b4
1326315533a4bb
1411517d657d7a
157a92408ae6a
hex40acd457bb8

4444440067000 has 128 divisors (see below), whose sum is σ = 11063951196480. Its totient is φ = 1665269760000.

The previous prime is 4444440066971. The next prime is 4444440067003. The reversal of 4444440067000 is 7600444444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4444440067003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2967480 + ... + 4206520.

Almost surely, 24444440067000 is an apocalyptic number.

4444440067000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4444440067000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5531975598240).

4444440067000 is an abundant number, since it is smaller than the sum of its proper divisors (6619511129480).

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

4444440067000 is a wasteful number, since it uses less digits than its factorization.

4444440067000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239290 (or 1239276 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 37.

The spelling of 4444440067000 in words is "four trillion, four hundred forty-four billion, four hundred forty million, sixty-seven thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 211 250 340 422 425 500 680 844 850 1000 1055 1688 1700 2110 2125 3400 3587 4220 4250 5275 7174 8440 8500 10550 14348 17000 17935 21100 26375 28696 35870 42200 52750 71740 89675 105500 143480 179350 211000 358700 448375 717400 896750 1239041 1793500 2478082 3587000 4956164 6195205 9912328 12390410 21063697 24780820 30976025 42127394 49561640 61952050 84254788 105318485 123904100 154880125 168509576 210636970 247808200 261437651 309760250 421273940 522875302 526592425 619520500 842547880 1045750604 1053184850 1239041000 1307188255 2091501208 2106369700 2614376510 2632962125 4212739400 4444440067 5228753020 5265924250 6535941275 8888880134 10457506040 10531848500 13071882550 17777760268 21063697000 22222200335 26143765100 32679706375 35555520536 44444400670 52287530200 65359412750 88888801340 111111001675 130718825500 177777602680 222222003350 261437651000 444444006700 555555008375 888888013400 1111110016750 2222220033500 4444440067000