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4473014103744 = 263434723114713
BaseRepresentation
bin100000100010111010001…
…1010101010111011000000
3120211121122001011211211120
41001011310122222323000
51041241213102304434
613302512503512240
7641110313360214
oct101056432527300
916747561154746
104473014103744
111474aa393986a
12602a97458680
13265a5a163354
141166d0552944
157b5478e2349
hex411746aaec0

4473014103744 has 112 divisors (see below), whose sum is σ = 12112748537472. Its totient is φ = 1456009132032.

The previous prime is 4473014103683. The next prime is 4473014103769.

4473014103744 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4473014103696 and 4473014103705.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38935732 + ... + 39050444.

Almost surely, 24473014103744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4473014103744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6056374268736).

4473014103744 is an abundant number, since it is smaller than the sum of its proper divisors (7639734433728).

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

4473014103744 is a wasteful number, since it uses less digits than its factorization.

4473014103744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119494 (or 119484 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 42.

The spelling of 4473014103744 in words is "four trillion, four hundred seventy-three billion, fourteen million, one hundred three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 344 516 688 1032 1376 2064 2752 4128 4723 8256 9446 14169 18892 28338 37784 56676 75568 113352 114713 151136 203089 226704 229426 302272 344139 406178 453408 458852 609267 688278 812356 906816 917704 1218534 1376556 1624712 1835408 2437068 2753112 3249424 3670816 4874136 4932659 5506224 6498848 7341632 9748272 9865318 11012448 12997696 14797977 19496544 19730636 22024896 29595954 38993088 39461272 59191908 78922544 118383816 157845088 236767632 315690176 473535264 541789499 947070528 1083578998 1625368497 2167157996 3250736994 4334315992 6501473988 8668631984 13002947976 17337263968 23296948457 26005895952 34674527936 46593896914 52011791904 69890845371 93187793828 104023583808 139781690742 186375587656 279563381484 372751175312 559126762968 745502350624 1118253525936 1491004701248 2236507051872 4473014103744