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141141430402300 = 225211318175419151
BaseRepresentation
bin100000000101111000001100…
…110100100111110011111100
3200111201222200221220210220101
4200011320030310213303330
5121444430122140333200
61220103251125530444
741505063135442366
oct4005701464476374
9614658627823811
10141141430402300
1140a76820a04739
12139b61a3573a24
13609a76ca02b03
1426bd3d2d09d36
15114b62c32226a
hex805e0cd27cfc

141141430402300 has 144 divisors (see below), whose sum is σ = 310769588473344. Its totient is φ = 55634342400000.

The previous prime is 141141430402253. The next prime is 141141430402307. The reversal of 141141430402300 is 3204034141141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141141430402307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15423602725 + ... + 15423611875.

It is an arithmetic number, because the mean of its divisors is an integer number (2158122142176).

Almost surely, 2141141430402300 is an apocalyptic number.

141141430402300 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 141141430402300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155384794236672).

141141430402300 is an abundant number, since it is smaller than the sum of its proper divisors (169628158071044).

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

141141430402300 is a wasteful number, since it uses less digits than its factorization.

141141430402300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17000 (or 16993 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 141141430402300 its reverse (3204034141141), we get a palindrome (144345464543441).

The spelling of 141141430402300 in words is "one hundred forty-one trillion, one hundred forty-one billion, four hundred thirty million, four hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 181 226 362 452 565 724 905 1130 1810 2260 2825 3620 4525 5650 7541 9050 9151 11300 15082 18100 18302 20453 30164 36604 37705 40906 45755 75410 81812 91510 102265 150820 183020 188525 204530 228775 377050 409060 457550 511325 754100 852133 915100 1022650 1034063 1364921 1656331 1704266 2045300 2068126 2729842 3312662 3408532 4136252 4260665 5170315 5459684 6625324 6824605 8281655 8521330 10340630 13649210 16563310 17042660 20681260 21303325 25851575 27298420 33126620 34123025 41408275 42606650 51703150 68246050 69007691 82816550 85213300 103406300 136492100 138015382 154236073 165633100 187165403 276030764 308472146 345038455 374330806 616944292 690076910 748661612 771180365 935827015 1380153820 1542360730 1725192275 1871654030 3084721460 3450384550 3743308060 3855901825 4679135075 6900769100 7711803650 7797869083 9358270150 12490392071 15423607300 15595738166 18716540300 24980784142 31191476332 38989345415 49961568284 62451960355 77978690830 124903920710 155957381660 194946727075 249807841420 312259801775 389893454150 624519603550 779786908300 1249039207100 1411414304023 2822828608046 5645657216092 7057071520115 14114143040230 28228286080460 35285357600575 70570715201150 141141430402300