Search a number
-
+
4335121434 = 237319293823
BaseRepresentation
bin1000000100110010…
…01011010000011010
3102012010021222122010
410002121023100122
532334242341214
61554100410350
7212266632000
oct40231132032
912163258563
104335121434
111925076996
12a0b9a69b6
13541198617
142d1a6aa70
151a58c0659
hex10264b41a

4335121434 has 128 divisors (see below), whose sum is σ = 11013120000. Its totient is φ = 1132657344.

The previous prime is 4335121423. The next prime is 4335121459. The reversal of 4335121434 is 4341215334.

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, 1132047 + ... + 1135869.

It is an arithmetic number, because the mean of its divisors is an integer number (86040000).

Almost surely, 24335121434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4335121434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5506560000).

4335121434 is an abundant number, since it is smaller than the sum of its proper divisors (6677998566).

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

4335121434 is a wasteful number, since it uses less digits than its factorization.

4335121434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3897 (or 3883 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 4335121434 is about 65841.6390591850. The cubic root of 4335121434 is about 1630.5486296024.

Adding to 4335121434 its reverse (4341215334), we get a palindrome (8676336768).

The spelling of 4335121434 in words is "four billion, three hundred thirty-five million, one hundred twenty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 19 21 29 38 42 49 57 58 87 98 114 133 147 174 203 266 294 343 399 406 551 609 686 798 931 1029 1102 1218 1421 1653 1862 2058 2793 2842 3306 3823 3857 4263 5586 6517 7646 7714 8526 9947 11469 11571 13034 19551 19894 22938 23142 26761 26999 29841 39102 53522 53998 59682 72637 80283 80997 110867 145274 160566 161994 187327 188993 217911 221734 332601 374654 377986 435822 508459 561981 566979 665202 776069 1016918 1123962 1133958 1311289 1525377 1552138 2106473 2328207 2622578 3050754 3559213 3933867 4212946 4656414 5432483 6319419 7118426 7867734 10677639 10864966 12638838 14745311 16297449 21355278 24914491 29490622 32594898 38027381 44235933 49828982 74743473 76054762 88471866 103217177 114082143 149486946 206434354 228164286 309651531 619303062 722520239 1445040478 2167560717 4335121434