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141124441140 = 223254143494397
BaseRepresentation
bin1000001101101110101…
…1000001010000110100
3111111021012112102000100
42003123223001100310
54303010324104030
6144455350314100
713124123646234
oct2033353012064
9444235472010
10141124441140
115493a082441
1223426358930
131040081c697
146b8aacdcc4
153a0e7d4360
hex20dbac1434

141124441140 has 144 divisors (see below), whose sum is σ = 438718971600. Its totient is φ = 36698511360.

The previous prime is 141124441091. The next prime is 141124441147. The reversal of 141124441140 is 41144421141.

141124441140 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 244 + 411 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 55904819364 + 85219621776 = 236442^2 + 291924^2 .

It is a super-2 number, since 2×1411244411402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141124441147) 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, 32093422 + ... + 32097818.

It is an arithmetic number, because the mean of its divisors is an integer number (3046659525).

Almost surely, 2141124441140 is an apocalyptic number.

141124441140 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 141124441140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219359485800).

141124441140 is an abundant number, since it is smaller than the sum of its proper divisors (297594530460).

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

141124441140 is a wasteful number, since it uses less digits than its factorization.

141124441140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8802 (or 8797 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 141124441140 its reverse (41144421141), we get a palindrome (182268862281).

The spelling of 141124441140 in words is "one hundred forty-one billion, one hundred twenty-four million, four hundred forty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 4349 4397 7380 8698 8794 13047 13191 17396 17588 21745 21985 26094 26382 39141 39573 43490 43970 52188 52764 65235 65955 78282 79146 86980 87940 130470 131910 156564 158292 178309 180277 195705 197865 260940 263820 356618 360554 391410 395730 534927 540831 713236 721108 782820 791460 891545 901385 1069854 1081662 1604781 1622493 1783090 1802770 2139708 2163324 2674635 2704155 3209562 3244986 3566180 3605540 5349270 5408310 6419124 6489972 8023905 8112465 10698540 10816620 16047810 16224930 19122553 32095620 32449860 38245106 57367659 76490212 95612765 114735318 172102977 191225530 229470636 286838295 344205954 382451060 573676590 688411908 784024673 860514885 1147353180 1568049346 1721029770 2352074019 3136098692 3442059540 3920123365 4704148038 7056222057 7840246730 9408296076 11760370095 14112444114 15680493460 23520740190 28224888228 35281110285 47041480380 70562220570 141124441140