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141107148 = 2232713192267
BaseRepresentation
bin10000110100100…
…01111111001100
3100211111222121200
420122101333030
5242110412043
622000225500
73332251050
oct1032217714
9324458550
10141107148
1172718986
123b30b290
1323307270
1414a51c60
15c5c47d3
hex8691fcc

141107148 has 144 divisors (see below), whose sum is σ = 462309120. Its totient is φ = 35240832.

The previous prime is 141107143. The next prime is 141107177. The reversal of 141107148 is 841701141.

141107148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1411071482 = 39822454433387808, which contains 22 as substring.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (141107143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61111 + ... + 63377.

It is an arithmetic number, because the mean of its divisors is an integer number (3210480).

Almost surely, 2141107148 is an apocalyptic number.

141107148 is a gapful number since it is divisible by the number (18) 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 141107148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231154560).

141107148 is an abundant number, since it is smaller than the sum of its proper divisors (321201972).

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

141107148 is a wasteful number, since it uses less digits than its factorization.

141107148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2316 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 141107148 is about 11878.8529749299. The cubic root of 141107148 is about 520.6145938313.

Adding to 141107148 its reverse (841701141), we get a palindrome (982808289).

The spelling of 141107148 in words is "one hundred forty-one million, one hundred seven thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 19 21 26 28 36 38 39 42 52 57 63 76 78 84 91 114 117 126 133 156 171 182 228 234 247 252 266 273 342 364 399 468 494 532 546 684 741 798 819 988 1092 1197 1482 1596 1638 1729 2223 2267 2394 2964 3276 3458 4446 4534 4788 5187 6801 6916 8892 9068 10374 13602 15561 15869 20403 20748 27204 29471 31122 31738 40806 43073 47607 58942 62244 63476 81612 86146 88413 95214 117884 129219 142821 172292 176826 190428 206297 258438 265239 285642 301511 353652 387657 412594 516876 530478 559949 571284 603022 618891 775314 825188 904533 1060956 1119898 1206044 1237782 1550628 1679847 1809066 1856673 2239796 2475564 2713599 3359694 3618132 3713346 3919643 5039541 5427198 6719388 7426692 7839286 10079082 10854396 11758929 15678572 20158164 23517858 35276787 47035716 70553574 141107148