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141160656 = 243713171901
BaseRepresentation
bin10000110100111…
…11000011010000
3100211121201000110
420122133003100
5242114120111
622001321320
73332563050
oct1032370320
9324551013
10141160656
11727550aa
123b336240
1323325720
1414a67560
15c5d55a6
hex869f0d0

141160656 has 160 divisors (see below), whose sum is σ = 475469568. Its totient is φ = 35020800.

The previous prime is 141160601. The next prime is 141160667. The reversal of 141160656 is 656061141.

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, 73306 + ... + 75206.

Almost surely, 2141160656 is an apocalyptic number.

141160656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141160656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237734784).

141160656 is an abundant number, since it is smaller than the sum of its proper divisors (334308912).

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

141160656 is a wasteful number, since it uses less digits than its factorization.

141160656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 141160656 is about 11881.1049991152. The cubic root of 141160656 is about 520.6803914083.

The spelling of 141160656 in words is "one hundred forty-one million, one hundred sixty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 17 21 24 26 28 34 39 42 48 51 52 56 68 78 84 91 102 104 112 119 136 156 168 182 204 208 221 238 272 273 312 336 357 364 408 442 476 546 624 663 714 728 816 884 952 1092 1326 1428 1456 1547 1768 1901 1904 2184 2652 2856 3094 3536 3802 4368 4641 5304 5703 5712 6188 7604 9282 10608 11406 12376 13307 15208 18564 22812 24713 24752 26614 30416 32317 37128 39921 45624 49426 53228 64634 74139 74256 79842 91248 96951 98852 106456 129268 148278 159684 172991 193902 197704 212912 226219 258536 296556 319368 345982 387804 395408 420121 452438 517072 518973 593112 638736 678657 691964 775608 840242 904876 1037946 1186224 1260363 1357314 1383928 1551216 1680484 1809752 2075892 2520726 2714628 2767856 2940847 3360968 3619504 4151784 5041452 5429256 5881694 6721936 8303568 8822541 10082904 10858512 11763388 17645082 20165808 23526776 35290164 47053552 70580328 141160656