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247231141132742 = 213172919287809419
BaseRepresentation
bin111000001101101011111100…
…010110000011100111000110
31012102101001210022100011222022
4320031223330112003213012
5224401113334112221432
62233452230204003142
7103034601103014164
oct7015537426034706
91172331708304868
10247231141132742
11718591579598a8
122388b074b304b2
13a7c4a480b91a0
14450a0a022a234
151d8b0b1816b12
hexe0dafc5839c6

247231141132742 has 32 divisors (see below), whose sum is σ = 437447517645600. Its totient is φ = 103691263431168.

The previous prime is 247231141132609. The next prime is 247231141132757.

247231141132742 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2472311411327422 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 247231141132693 and 247231141132702.

It is a congruent number.

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, 9643891892 + ... + 9643917527.

It is an arithmetic number, because the mean of its divisors is an integer number (13670234926425).

Almost surely, 2247231141132742 is an apocalyptic number.

247231141132742 is a deficient number, since it is larger than the sum of its proper divisors (190216376512858).

247231141132742 is a wasteful number, since it uses less digits than its factorization.

247231141132742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19287809480.

The product of its digits is 451584, while the sum is 44.

The spelling of 247231141132742 in words is "two hundred forty-seven trillion, two hundred thirty-one billion, one hundred forty-one million, one hundred thirty-two thousand, seven hundred forty-two".

Divisors: 1 2 13 17 26 29 34 58 221 377 442 493 754 986 6409 12818 19287809419 38575618838 250741522447 327892760123 501483044894 559346473151 655785520246 1118692946302 4262605881599 7271504150963 8525211763198 9508890043567 14543008301926 19017780087134 123615570566371 247231141132742