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8014148141349 = 37283983668203
BaseRepresentation
bin111010010011111000001…
…1101000000000100100101
31001101010220202121110011110
41310213300131000010211
52022300433411010344
625013352051455233
71455001030143600
oct164476035000445
931333822543143
108014148141349
11260a865774239
12a95241bb7519
13461966b00c2c
141d9c5b6b9337
15dd6ee0ac3b9
hex749f0740125

8014148141349 has 48 divisors (see below), whose sum is σ = 12592683919872. Its totient is φ = 4519729019232.

The previous prime is 8014148141269. The next prime is 8014148141359. The reversal of 8014148141349 is 9431418414108.

It is not a de Polignac number, because 8014148141349 - 211 = 8014148139301 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8014148141298 and 8014148141307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8014148141359) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11659482 + ... + 12327684.

It is an arithmetic number, because the mean of its divisors is an integer number (262347581664).

Almost surely, 28014148141349 is an apocalyptic number.

It is an amenable number.

8014148141349 is a deficient number, since it is larger than the sum of its proper divisors (4578535778523).

8014148141349 is a wasteful number, since it uses less digits than its factorization.

8014148141349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669286 (or 669279 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 8014148141349 in words is "eight trillion, fourteen billion, one hundred forty-eight million, one hundred forty-one thousand, three hundred forty-nine".

Divisors: 1 3 7 21 49 83 147 249 581 983 1743 2949 4067 6881 12201 20643 48167 81589 144501 244767 571123 668203 1713369 2004609 3997861 4677421 11993583 14032263 32741947 55460849 98225841 166382547 388225943 656843549 1164677829 1970530647 2717581601 4597904843 8152744803 13793714529 32185333901 54518014567 96556001703 163554043701 381626101969 1144878305907 2671382713783 8014148141349