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361144014 = 2374114353
BaseRepresentation
bin10101100001101…
…001111011001110
3221011120000110020
4111201221323032
51214423102024
655500323010
711643450000
oct2541517316
9834500406
10361144014
11175946930
12a0b43466
1359a886aa
1435d6c370
1521a8a979
hex15869ece

361144014 has 160 divisors (see below), whose sum is σ = 958345344. Its totient is φ = 89893440.

The previous prime is 361143967. The next prime is 361144019. The reversal of 361144014 is 410441163.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361144019) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6814012 + ... + 6814064.

Almost surely, 2361144014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361144014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479172672).

361144014 is an abundant number, since it is smaller than the sum of its proper divisors (597201330).

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

361144014 is a wasteful number, since it uses less digits than its factorization.

361144014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 361144014 is about 19003.7894642095. The cubic root of 361144014 is about 712.1314077513.

Adding to 361144014 its reverse (410441163), we get a palindrome (771585177).

The spelling of 361144014 in words is "three hundred sixty-one million, one hundred forty-four thousand, fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 43 49 53 66 77 86 98 106 129 147 154 159 231 258 294 301 318 343 371 462 473 539 583 602 686 742 903 946 1029 1078 1113 1166 1419 1617 1749 1806 2058 2107 2226 2279 2401 2597 2838 3234 3311 3498 3773 4081 4214 4558 4802 5194 6321 6622 6837 7203 7546 7791 8162 9933 11319 12243 12642 13674 14406 14749 15582 15953 18179 19866 22638 23177 24486 25069 26411 28567 29498 31906 36358 44247 46354 47859 50138 52822 54537 57134 69531 75207 79233 85701 88494 95718 103243 109074 111671 127253 139062 150414 158466 162239 171402 175483 199969 206486 223342 254506 309729 324478 335013 350966 381759 399938 486717 526449 599907 619458 670026 763518 781697 973434 1052898 1135673 1199814 1228381 1399783 1563394 2271346 2345091 2456762 2799566 3407019 3685143 4199349 4690182 5471879 6814038 7370286 8398698 8598667 10943758 16415637 17197334 25796001 32831274 51592002 60190669 120381338 180572007 361144014