Search a number
-
+
34003400201124 = 223791011019334841
BaseRepresentation
bin1111011101101000010001…
…00101110001001110100100
311110101200201102110120111020
413232310020211301032210
513424102430422413444
6200152540231211140
710106443645545204
oct756641045611644
9143350642416436
1034003400201124
11a91a840a460a2
123992105b16ab0
1315c86788011c3
14857ab810a404
153de78e52b119
hex1eed089713a4

34003400201124 has 96 divisors (see below), whose sum is σ = 81151377431040. Its totient is φ = 11078785536000.

The previous prime is 34003400201117. The next prime is 34003400201191. The reversal of 34003400201124 is 42110200430043.

It is a junction number, because it is equal to n+sod(n) for n = 34003400201094 and 34003400201103.

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, 975941944 + ... + 975976784.

It is an arithmetic number, because the mean of its divisors is an integer number (845326848240).

Almost surely, 234003400201124 is an apocalyptic number.

It is an amenable number.

34003400201124 is an abundant number, since it is smaller than the sum of its proper divisors (47147977229916).

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

34003400201124 is a wasteful number, since it uses less digits than its factorization.

34003400201124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45221 (or 45219 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 34003400201124 its reverse (42110200430043), we get a palindrome (76113600631167).

The spelling of 34003400201124 in words is "thirty-four trillion, three billion, four hundred million, two hundred one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 79 101 158 202 237 303 316 404 474 606 948 1212 7979 10193 15958 20386 23937 30579 31916 34841 40772 47874 61158 69682 95748 104523 122316 139364 209046 418092 805247 1029493 1610494 2058986 2415741 2752439 3088479 3220988 3518941 4117972 4831482 5504878 6176958 7037882 8257317 9662964 10556823 11009756 12353916 14075764 16514634 21113646 33029268 42227292 81329947 162659894 243989841 277996339 325319788 355134313 487979682 555992678 710268626 833989017 975959364 1065402939 1111985356 1420537252 1667978034 2130805878 3335956068 4261611756 28055610727 35868565613 56111221454 71737131226 84166832181 107605696839 112222442908 143474262452 168333664362 215211393678 336667328724 430422787356 2833616683427 5667233366854 8500850050281 11334466733708 17001700100562 34003400201124