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43750071414 = 23272347931517
BaseRepresentation
bin101000101111101101…
…010001110001110110
311011221000110220101100
4220233231101301312
51204100004241124
632033135510530
73106111320420
oct505755216166
9134830426340
1043750071414
1117610858215
12858b988446
134182c87c2a
142190663810
151210d3e1c9
hexa2fb51c76

43750071414 has 96 divisors (see below), whose sum is σ = 113283256320. Its totient is φ = 11931201216.

The previous prime is 43750071397. The next prime is 43750071439. The reversal of 43750071414 is 41417005734.

43750071414 is a `hidden beast` number, since 4 + 3 + 7 + 500 + 7 + 141 + 4 = 666.

It is a super-3 number, since 3×437500714143 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

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, 1372384 + ... + 1403900.

It is an arithmetic number, because the mean of its divisors is an integer number (1180033920).

Almost surely, 243750071414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43750071414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56641628160).

43750071414 is an abundant number, since it is smaller than the sum of its proper divisors (69533184906).

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

43750071414 is a wasteful number, since it uses less digits than its factorization.

43750071414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32034 (or 32031 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 43750071414 in words is "forty-three billion, seven hundred fifty million, seventy-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 207 322 414 479 483 958 966 1437 1449 2874 2898 3353 4311 6706 8622 10059 11017 20118 22034 30177 31517 33051 60354 63034 66102 77119 94551 99153 154238 189102 198306 220619 231357 283653 441238 462714 567306 661857 694071 724891 1323714 1388142 1449782 1985571 2174673 3971142 4349346 5074237 6524019 10148474 13048038 15096643 15222711 30193286 30445422 45289929 45668133 90579858 91336266 105676501 135869787 211353002 271739574 317029503 347222789 634059006 694445578 951088509 1041668367 1902177018 2083336734 2430559523 3125005101 4861119046 6250010202 7291678569 14583357138 21875035707 43750071414