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141061140 = 2232511191373
BaseRepresentation
bin10000110100001…
…10110000010100
3100211102122111200
420122012300110
5242102424030
621555232500
73331666653
oct1032066024
9324378450
10141061140
1172697360
123b2a8730
13232bc33c
1414a3d19a
15c5b5d60
hex8686c14

141061140 has 144 divisors (see below), whose sum is σ = 470486016. Its totient is φ = 33926400.

The previous prime is 141061127. The next prime is 141061159. The reversal of 141061140 is 41160141.

141061140 is a `hidden beast` number, since 1 + 4 + 10 + 611 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 377994 + ... + 378366.

It is an arithmetic number, because the mean of its divisors is an integer number (3267264).

Almost surely, 2141061140 is an apocalyptic number.

141061140 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 141061140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235243008).

141061140 is an abundant number, since it is smaller than the sum of its proper divisors (329424876).

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

141061140 is a wasteful number, since it uses less digits than its factorization.

141061140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 585 counting only the distinct ones).

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

The square root of 141061140 is about 11876.9162664389. The cubic root of 141061140 is about 520.5580055335.

Subtracting from 141061140 its reverse (41160141), we obtain a palindrome (99900999).

The spelling of 141061140 in words is "one hundred forty-one million, sixty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 191 198 220 330 373 382 396 495 573 660 746 764 955 990 1119 1146 1492 1719 1865 1910 1980 2101 2238 2292 2865 3357 3438 3730 3820 4103 4202 4476 5595 5730 6303 6714 6876 7460 8206 8404 8595 10505 11190 11460 12309 12606 13428 16412 16785 17190 18909 20515 21010 22380 24618 25212 31515 33570 34380 36927 37818 41030 42020 49236 61545 63030 67140 71243 73854 75636 82060 94545 123090 126060 142486 147708 184635 189090 213729 246180 284972 356215 369270 378180 427458 641187 712430 738540 783673 854916 1068645 1282374 1424860 1567346 2137290 2351019 2564748 3134692 3205935 3918365 4274580 4702038 6411870 7053057 7836730 9404076 11755095 12823740 14106114 15673460 23510190 28212228 35265285 47020380 70530570 141061140