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3444125454 = 2337111316323
BaseRepresentation
bin1100110101001001…
…0010111100001110
322220000201200221000
43031102102330032
524023144003304
61325431321130
7151230404040
oct31522227416
98800650830
103444125454
111508134480
128015201a6
1342b705373
142495b5a90
15152571939
hexcd492f0e

3444125454 has 128 divisors (see below), whose sum is σ = 9616527360. Its totient is φ = 887608800.

The previous prime is 3444125417. The next prime is 3444125491. The reversal of 3444125454 is 4545214443.

3444125454 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3444125417) and next prime (3444125491).

It is a super-2 number, since 2×34441254542 = 23724000285781412232, which 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 63 ways as a sum of consecutive naturals, for example, 541537 + ... + 547859.

It is an arithmetic number, because the mean of its divisors is an integer number (75129120).

Almost surely, 23444125454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3444125454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4808263680).

3444125454 is an abundant number, since it is smaller than the sum of its proper divisors (6172401906).

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

3444125454 is a wasteful number, since it uses less digits than its factorization.

3444125454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6483 (or 6477 counting only the distinct ones).

The product of its digits is 153600, while the sum is 36.

The square root of 3444125454 is about 58686.6718599717. The cubic root of 3444125454 is about 1510.1716767514.

Adding to 3444125454 its reverse (4545214443), we get a palindrome (7989339897).

It can be divided in two parts, 344412 and 5454, that added together give a triangular number (349866 = T836).

The spelling of 3444125454 in words is "three billion, four hundred forty-four million, one hundred twenty-five thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 131 154 189 198 231 262 297 378 393 462 594 693 786 917 1179 1386 1441 1834 2079 2358 2751 2882 3537 4158 4323 5502 6323 7074 8253 8646 10087 12646 12969 16506 18969 20174 24759 25938 30261 37938 38907 44261 49518 56907 60522 69553 77814 88522 90783 113814 132783 139106 170721 181566 208659 265566 272349 341442 398349 417318 486871 544698 625977 796698 828313 973742 1195047 1251954 1460613 1656626 1877931 2390094 2484939 2921226 3755862 4381839 4969878 5798191 7454817 8763678 9111443 11596382 13145517 14909634 17394573 18222886 22364451 26291034 27334329 34789146 44728902 52183719 54668658 63780101 82002987 104367438 127560202 156551157 164005974 191340303 246008961 313102314 382680606 492017922 574020909 1148041818 1722062727 3444125454