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141172140 = 223531711069
BaseRepresentation
bin10000110101000…
…01110110101100
3100211122021202210
420122201312230
5242120002030
622001450420
73332641404
oct1032416654
9324567683
10141172140
117276279a
123b340a10
132332aa15
1414a6b804
15c5d8bb0
hex86a1dac

141172140 has 96 divisors (see below), whose sum is σ = 414167040. Its totient is φ = 35884800.

The previous prime is 141172133. The next prime is 141172169. The reversal of 141172140 is 41271141.

It is a super-2 number, since 2×1411721402 = 39859146224359200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131526 + ... + 132594.

It is an arithmetic number, because the mean of its divisors is an integer number (4314240).

Almost surely, 2141172140 is an apocalyptic number.

141172140 is a gapful number since it is divisible by the number (10) 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 141172140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207083520).

141172140 is an abundant number, since it is smaller than the sum of its proper divisors (272994900).

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

141172140 is a wasteful number, since it uses less digits than its factorization.

141172140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 141172140 is about 11881.5882776673. The cubic root of 141172140 is about 520.6945108559.

Subtracting from 141172140 its reverse (41271141), we obtain a palindrome (99900999).

The spelling of 141172140 in words is "one hundred forty-one million, one hundred seventy-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 71 93 124 142 155 186 213 284 310 355 372 426 465 620 710 852 930 1065 1069 1420 1860 2130 2138 2201 3207 4260 4276 4402 5345 6414 6603 8804 10690 11005 12828 13206 16035 21380 22010 26412 32070 33015 33139 44020 64140 66030 66278 75899 99417 132060 132556 151798 165695 198834 227697 303596 331390 379495 397668 455394 497085 662780 758990 910788 994170 1138485 1517980 1988340 2276970 2352869 4553940 4705738 7058607 9411476 11764345 14117214 23528690 28234428 35293035 47057380 70586070 141172140