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4258424324024 = 23131713957130347
BaseRepresentation
bin111101111101111101110…
…111100111111110111000
3120002002201220122120002022
4331331331313213332320
51024232223111332044
613020143152054012
7616442503343243
oct75757567477670
916062656576068
104258424324024
1113a1a95572182
12589389834308
1324b74c2a7630
1410a17491225a
1575b8868a3ee
hex3df7dde7fb8

4258424324024 has 128 divisors (see below), whose sum is σ = 9186412435200. Its totient is φ = 1833228564480.

The previous prime is 4258424323987. The next prime is 4258424324039. The reversal of 4258424324024 is 4204234248524.

It is a Cunningham number, because it is equal to 20635952-1.

It is a super-2 number, since 2×42584243240242 (a number of 26 digits) contains 22 as substring.

It is a congruent 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, 140309219 + ... + 140339565.

It is an arithmetic number, because the mean of its divisors is an integer number (71768847150).

Almost surely, 24258424324024 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 4258424324024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4593206217600).

4258424324024 is an abundant number, since it is smaller than the sum of its proper divisors (4927988111176).

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

4258424324024 is a wasteful number, since it uses less digits than its factorization.

4258424324024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31093 (or 31089 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 44.

The spelling of 4258424324024 in words is "four trillion, two hundred fifty-eight billion, four hundred twenty-four million, three hundred twenty-four thousand, twenty-four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 139 221 278 442 556 571 884 1112 1142 1768 1807 2284 2363 3614 4568 4726 7228 7423 9452 9707 14456 14846 18904 19414 29692 30347 30719 38828 59384 60694 61438 77656 79369 121388 122876 126191 158738 242776 245752 252382 317476 394511 504764 515899 634952 789022 1009528 1031797 1031798 1349273 1578044 2063594 2063596 2698546 3156088 4127188 4127192 4218233 5397092 6706687 8254376 8436466 10794184 13413374 16872932 17328137 17540549 26826748 33745864 34656274 35081098 53653496 54837029 69312548 70162196 71709961 109674058 138625096 140324392 143419922 219348116 225265781 286839844 294578329 438696232 450531562 573679688 589156658 901063124 932229493 1178313316 1802126248 1864458986 2356626632 2408611043 3728917972 3829518277 4817222086 7457835944 7659036554 9634444172 15318073108 19268888344 30636146216 31311943559 40946387731 62623887118 81892775462 125247774236 163785550924 250495548472 327571101848 532303040503 1064606081006 2129212162012 4258424324024