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3434443014002 = 2711213831878977
BaseRepresentation
bin110001111110100100110…
…000010111111101110010
3110011022220020110001020012
4301332210300113331302
5422232214402422002
611145432241014522
7503062461642410
oct61764460277562
913138806401205
103434443014002
1111045a2600300
12475750024442
131bbb35b769b0
14bc3296182b0
155e50ed49d52
hex31fa4c17f72

3434443014002 has 96 divisors (see below), whose sum is σ = 7053292584576. Its totient is φ = 1220282173440.

The previous prime is 3434443013993. The next prime is 3434443014011. The reversal of 3434443014002 is 2004103444343.

It is an interprime number because it is at equal distance from previous prime (3434443013993) and next prime (3434443014011).

It is a self number, because there is not a number n which added to its sum of digits gives 3434443014002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 888338 + ... + 2767314.

It is an arithmetic number, because the mean of its divisors is an integer number (73471797756).

Almost surely, 23434443014002 is an apocalyptic number.

3434443014002 is an abundant number, since it is smaller than the sum of its proper divisors (3618849570574).

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

3434443014002 is a wasteful number, since it uses less digits than its factorization.

3434443014002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1879104 (or 1879093 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 3434443014002 its reverse (2004103444343), we get a palindrome (5438546458345).

The spelling of 3434443014002 in words is "three trillion, four hundred thirty-four billion, four hundred forty-three million, fourteen thousand, two".

Divisors: 1 2 7 11 13 14 22 26 77 83 91 121 143 154 166 182 242 286 581 847 913 1001 1079 1162 1573 1694 1826 2002 2158 3146 6391 7553 10043 11011 11869 12782 15106 20086 22022 23738 70301 83083 130559 140602 166166 261118 913913 1827826 1878977 3757954 13152839 20668747 24426701 26305678 41337494 48853402 144681229 155955091 170986907 227356217 268693711 289362458 311910182 341973814 454712434 537387422 1091685637 1591493519 1715506001 1880855977 2027416183 2183371274 2955630821 3182987038 3431012002 3761711954 4054832366 5911261642 12008542007 14191913281 18870566011 20689415747 22301578013 24017084014 28383826562 37741132022 41378831494 44603156026 132093962077 156111046091 245317358143 264187924154 312222092182 490634716286 1717221507001 3434443014002