Search a number
-
+
5034400025004 = 2232783643374333
BaseRepresentation
bin100100101000010100110…
…1000000000100110101100
3122211021122222211110101100
41021100221220000212230
51124440422401300004
614412434344243100
71026503061102210
oct111205150004654
918737588743340
105034400025004
111671093627499
1269384a470490
132a6984bca84c
14135948314940
158ae5278b739
hex49429a009ac

5034400025004 has 144 divisors (see below), whose sum is σ = 14741979662592. Its totient is φ = 1418856034176.

The previous prime is 5034400024991. The next prime is 5034400025047. The reversal of 5034400025004 is 4005200044305.

5034400025004 is a `hidden beast` number, since 5 + 0 + 3 + 4 + 400 + 0 + 250 + 0 + 4 = 666.

It is a super-2 number, since 2×50344000250042 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13261822 + ... + 13636154.

It is an arithmetic number, because the mean of its divisors is an integer number (102374858768).

Almost surely, 25034400025004 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 5034400025004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7370989831296).

5034400025004 is an abundant number, since it is smaller than the sum of its proper divisors (9707579637588).

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

5034400025004 is a wasteful number, since it uses less digits than its factorization.

5034400025004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375076 (or 375071 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 5034400025004 its reverse (4005200044305), we get a palindrome (9039600069309).

The spelling of 5034400025004 in words is "five trillion, thirty-four billion, four hundred million, twenty-five thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 83 84 126 166 249 252 332 498 581 643 747 996 1162 1286 1494 1743 1929 2324 2572 2988 3486 3858 4501 5229 5787 6972 7716 9002 10458 11574 13503 18004 20916 23148 27006 40509 53369 54012 81018 106738 160107 162036 213476 320214 373583 374333 480321 640428 747166 748666 960642 1120749 1122999 1494332 1497332 1921284 2241498 2245998 2620331 3362247 3368997 4482996 4491996 5240662 6724494 6737994 7860993 10481324 13448988 13475988 15721986 23582979 31069639 31443972 47165958 62139278 93208917 94331916 124278556 186417834 217487473 240696119 279626751 372835668 434974946 481392238 559253502 652462419 722088357 869949892 962784476 1118507004 1304924838 1444176714 1684872833 1957387257 2166265071 2609849676 2888353428 3369745666 3914774514 4332530142 5054618499 6739491332 7829549028 8665060284 10109236998 15163855497 19977777877 20218473996 30327710994 39955555754 59933333631 60655421988 79911111508 119866667262 139844445139 179800000893 239733334524 279688890278 359600001786 419533335417 559377780556 719200003572 839066670834 1258600006251 1678133341668 2517200012502 5034400025004