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141464310 = 2351317191123
BaseRepresentation
bin10000110111010…
…01001011110110
3100212012010112220
420123221023312
5242203324220
622012023210
73335266251
oct1033511366
9325163486
10141464310
1172942259
123b461b06
13234009c0
1414b06098
15c645540
hex86e92f6

141464310 has 128 divisors (see below), whose sum is σ = 407877120. Its totient is φ = 31021056.

The previous prime is 141464303. The next prime is 141464311. The reversal of 141464310 is 13464141.

141464310 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1414643102 = 40024302007552200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141464311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125409 + ... + 126531.

It is an arithmetic number, because the mean of its divisors is an integer number (3186540).

Almost surely, 2141464310 is an apocalyptic number.

141464310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141464310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203938560).

141464310 is an abundant number, since it is smaller than the sum of its proper divisors (266412810).

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

141464310 is a wasteful number, since it uses less digits than its factorization.

141464310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182.

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

The square root of 141464310 is about 11893.8769961691. The cubic root of 141464310 is about 521.0534732908.

The spelling of 141464310 in words is "one hundred forty-one million, four hundred sixty-four thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 13 15 17 19 26 30 34 38 39 51 57 65 78 85 95 102 114 130 170 190 195 221 247 255 285 323 390 442 494 510 570 646 663 741 969 1105 1123 1235 1326 1482 1615 1938 2210 2246 2470 3230 3315 3369 3705 4199 4845 5615 6630 6738 7410 8398 9690 11230 12597 14599 16845 19091 20995 21337 25194 29198 33690 38182 41990 42674 43797 57273 62985 64011 72995 87594 95455 106685 114546 125970 128022 145990 190910 213370 218985 248183 277381 286365 320055 362729 437970 496366 554762 572730 640110 725458 744549 832143 1088187 1240915 1386905 1489098 1664286 1813645 2176374 2481830 2773810 3627290 3722745 4160715 4715477 5440935 7445490 8321430 9430954 10881870 14146431 23577385 28292862 47154770 70732155 141464310