Search a number
-
+
2024003014124 = 2271321737333373
BaseRepresentation
bin11101011100111111111…
…110110000110111101100
321011111022020202022021012
4131130333332300313230
5231130124232422444
64145451504524352
7266141452521050
oct35347776606754
97144266668235
102024003014124
11710413a32643
122883226206b8
13118b2a377600
146dd68671c60
15379b03b6b9e
hex1d73ffb0dec

2024003014124 has 144 divisors (see below), whose sum is σ = 4416004458432. Its totient is φ = 794754395136.

The previous prime is 2024003014109. The next prime is 2024003014129. The reversal of 2024003014124 is 4214103004202.

It is a self number, because there is not a number n which added to its sum of digits gives 2024003014124.

It is not an unprimeable number, because it can be changed into a prime (2024003014129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 600058502 + ... + 600061874.

It is an arithmetic number, because the mean of its divisors is an integer number (30666697628).

Almost surely, 22024003014124 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 2024003014124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208002229216).

2024003014124 is an abundant number, since it is smaller than the sum of its proper divisors (2392001444308).

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

2024003014124 is a wasteful number, since it uses less digits than its factorization.

2024003014124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4316 (or 4301 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 2024003014124 its reverse (4214103004202), we get a palindrome (6238106018326).

The spelling of 2024003014124 in words is "two trillion, twenty-four billion, three million, fourteen thousand, one hundred twenty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 169 173 182 338 346 364 676 692 733 1183 1211 1466 2249 2366 2422 2932 3373 4498 4732 4844 5131 6746 8996 9529 10262 13492 15743 19058 20524 23611 29237 31486 38116 43849 47222 58474 62972 66703 87698 94444 116948 123877 126809 133406 175396 204659 247754 253618 266812 306943 409318 495508 507236 570037 583529 613886 818636 867139 887663 1140074 1167058 1227772 1648517 1734278 1775326 2280148 2334116 2472409 3297034 3468556 3550652 3990259 4084703 4944818 6594068 7585877 7980518 8169406 9889636 11539619 15171754 15961036 16338812 17306863 21430721 23079238 30343508 32141317 34613726 42861442 46158476 53101139 64282634 69227452 85722884 98616401 106202278 128565268 150015047 197232802 212404556 224989219 300030094 394465604 417837121 427726757 449978438 600060188 690314807 835674242 855453514 899956876 1380629614 1671348484 1710907028 2761259228 2924859847 2994087299 5560447841 5849719694 5988174598 11120895682 11699439388 11976349196 22241791364 38923134887 72285821933 77846269774 144571643866 155692539548 289143287732 506000753531 1012001507062 2024003014124