Search a number
-
+
4444292458398 = 2313792274197583
BaseRepresentation
bin100000010101100010001…
…1110010010011110011110
3120201212111101100002101010
41000223010132102132132
51040303402332132043
613241402455200050
7636042465410652
oct100530436223636
916655441302333
104444292458398
1114638a5259591
125b9400676026
13263130897c30
14115167bd2a62
157a916130133
hex40ac479279e

4444292458398 has 128 divisors (see below), whose sum is σ = 9760717209600. Its totient is φ = 1340831935872.

The previous prime is 4444292458379. The next prime is 4444292458433. The reversal of 4444292458398 is 8938542924444.

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, 586082515 + ... + 586090097.

It is an arithmetic number, because the mean of its divisors is an integer number (76255603200).

Almost surely, 24444292458398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4444292458398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4880358604800).

4444292458398 is an abundant number, since it is smaller than the sum of its proper divisors (5316424751202).

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

4444292458398 is a wasteful number, since it uses less digits than its factorization.

4444292458398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8326.

The product of its digits is 318504960, while the sum is 66.

The spelling of 4444292458398 in words is "four trillion, four hundred forty-four billion, two hundred ninety-two million, four hundred fifty-eight thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 13 26 39 78 79 158 227 237 419 454 474 681 838 1027 1257 1362 2054 2514 2951 3081 5447 5902 6162 7583 8853 10894 15166 16341 17706 17933 22749 32682 33101 35866 45498 53799 66202 95113 98579 99303 107598 190226 197158 198606 233129 285339 295737 430313 466258 570678 591474 599057 699387 860626 1198114 1236469 1290939 1398774 1721341 1797171 2472938 2581878 3177277 3442682 3594342 3709407 5164023 6354554 7418814 7513927 7787741 9531831 10328046 15027854 15575482 19063662 22377433 22541781 23363223 41304601 44754866 45083562 46726446 67132299 82609202 97681051 123913803 134264598 135985939 195362102 247827606 251004883 271971878 293043153 407957817 502009766 586086306 721241879 753014649 815915634 1442483758 1506029298 1767817207 2163725637 3263063479 3535634414 4327451274 5303451621 6526126958 9376144427 9789190437 10606903242 18752288854 19578380874 28128433281 56256866562 56978108441 113956216882 170934325323 341868650646 740715409733 1481430819466 2222146229199 4444292458398