Search a number
-
+
3454040414643 = 3721337263318553
BaseRepresentation
bin110010010000110100110…
…110100001100110110011
3110020012111000102010222120
4302100310312201212303
5423042333321232033
611202433025205323
7504355225050300
oct62206466414663
913205430363876
103454040414643
111111939849485
124794bb190843
131c093a00cb50
14bd2682600a7
155ecaa58c1b3
hex32434da19b3

3454040414643 has 96 divisors (see below), whose sum is σ = 5927885441856. Its totient is φ = 1771901816832.

The previous prime is 3454040414621. The next prime is 3454040414681. The reversal of 3454040414643 is 3464140404543.

It is a happy number.

It is not a de Polignac number, because 3454040414643 - 26 = 3454040414579 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3454040414595 and 3454040414604.

It is not an unprimeable number, because it can be changed into a prime (3454040414443) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 186162255 + ... + 186180807.

It is an arithmetic number, because the mean of its divisors is an integer number (61748806686).

Almost surely, 23454040414643 is an apocalyptic number.

3454040414643 is a deficient number, since it is larger than the sum of its proper divisors (2473845027213).

3454040414643 is a wasteful number, since it uses less digits than its factorization.

3454040414643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21253 (or 21246 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 42.

It can be divided in two parts, 3454040 and 414643, that added together give a palindrome (3868683).

The spelling of 3454040414643 in words is "three trillion, four hundred fifty-four billion, forty million, four hundred fourteen thousand, six hundred forty-three".

Divisors: 1 3 7 13 21 37 39 49 91 111 147 259 273 481 637 777 1443 1813 1911 2633 3367 5439 7899 10101 18431 18553 23569 34229 55293 55659 70707 97421 102687 129017 129871 239603 241189 292263 387051 389613 681947 686461 718809 723567 909097 1266473 1677221 1688323 2045841 2059383 2727291 3799419 4773629 4805227 5031663 5064969 8865311 8923993 11818261 14320887 14415681 26595933 26771979 33636589 35454783 48850049 62057177 62467951 100909767 146550147 186171531 187403853 341950343 437275657 635050637 1025851029 1311826971 1807451813 1905151911 2393652401 4445354459 5422355439 7180957203 12652162691 13336063377 23496873569 31117481213 37956488073 70490620707 88565138837 93352443639 164478114983 265695416511 493434344949 1151346804881 3454040414643