Search a number
-
+
141112062 = 232721331397
BaseRepresentation
bin10000110100100…
…11001011111110
3100211112020100200
420122103023332
5242111041222
622000304330
73332301300
oct1032231376
9324466320
10141112062
1172721643
123b3120a6
1323309580
1414a53970
15c5c5eac
hex86932fe

141112062 has 144 divisors (see below), whose sum is σ = 396369792. Its totient is φ = 35925120.

The previous prime is 141112033. The next prime is 141112063. The reversal of 141112062 is 260211141.

It is a super-2 number, since 2×1411120622 = 39825228083783688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141112063) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 355248 + ... + 355644.

It is an arithmetic number, because the mean of its divisors is an integer number (2752568).

Almost surely, 2141112062 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141112062, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198184896).

141112062 is an abundant number, since it is smaller than the sum of its proper divisors (255257730).

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

141112062 is a wasteful number, since it uses less digits than its factorization.

141112062 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 141112062 is about 11879.0598112814. The cubic root of 141112062 is about 520.6206371595.

The spelling of 141112062 in words is "one hundred forty-one million, one hundred twelve thousand, sixty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 31 39 42 49 62 63 78 91 93 98 117 126 147 182 186 217 234 273 279 294 397 403 434 441 546 558 637 651 794 806 819 882 1191 1209 1274 1302 1519 1638 1911 1953 2382 2418 2779 2821 3038 3573 3627 3822 3906 4557 5161 5558 5642 5733 7146 7254 8337 8463 9114 10322 11466 12307 13671 15483 16674 16926 19453 19747 24614 25011 25389 27342 30966 36127 36921 38906 39494 46449 50022 50778 58359 59241 72254 73842 86149 92898 108381 110763 116718 118482 159991 172298 175077 177723 216762 221526 252889 258447 319982 325143 350154 355446 479973 505778 516894 603043 650286 758667 775341 959946 1119937 1206086 1439919 1517334 1550682 1809129 2239874 2276001 2879838 3359811 3618258 4552002 5427387 6719622 7839559 10079433 10854774 15679118 20158866 23518677 47037354 70556031 141112062