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4314748474134 = 233744041259183
BaseRepresentation
bin111110110010011011000…
…011001101001100010110
3120021111010020110211202000
4332302123003031030112
51031143101102133014
613102100150100130
7623505326616360
oct76623303151426
916244106424660
104314748474134
11141396903486a
1259828864a646
13253b573182c7
1410cb9910dd30
1577383347509
hex3ec9b0cd316

4314748474134 has 64 divisors (see below), whose sum is σ = 10958382458880. Its totient is φ = 1232752530240.

The previous prime is 4314748474117. The next prime is 4314748474151.

4314748474134 is a `hidden beast` number, since 4 + 3 + 147 + 4 + 84 + 7 + 413 + 4 = 666.

4314748474134 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4314748474117) and next prime (4314748474151).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 16517907 + ... + 16777089.

It is an arithmetic number, because the mean of its divisors is an integer number (171224725920).

Almost surely, 24314748474134 is an apocalyptic number.

4314748474134 is an abundant number, since it is smaller than the sum of its proper divisors (6643633984746).

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

4314748474134 is a wasteful number, since it uses less digits than its factorization.

4314748474134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303242 (or 303236 counting only the distinct ones).

The product of its digits is 14450688, while the sum is 54.

The spelling of 4314748474134 in words is "four trillion, three hundred fourteen billion, seven hundred forty-eight million, four hundred seventy-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 44041 88082 132123 259183 264246 308287 396369 518366 616574 777549 792738 924861 1189107 1555098 1814281 1849722 2332647 2378214 2774583 3628562 4665294 5442843 5549166 6997941 8323749 10885686 13995882 16328529 16647498 32657058 48985587 97971174 11414678503 22829357006 34244035509 68488071018 79902749521 102732106527 159805499042 205464213054 239708248563 308196319581 479416497126 616392639162 719124745689 1438249491378 2157374237067 4314748474134