Search a number
-
+
141203021430300 = 223524710691936713
BaseRepresentation
bin100000000110110001100011…
…111011101111111000011100
3200111221212200100022012202120
4200012301203323233320130
5122001432241441232200
61220151434511222540
741512403334521604
oct4006614373577034
9614855610265676
10141203021430300
1140a9a957495675
1213a06112217a50
1360a3506c7408b
1426c2396bd9c04
15114d0345a09a0
hex806c63eefe1c

141203021430300 has 144 divisors (see below), whose sum is σ = 417279379410432. Its totient is φ = 36849500710400.

The previous prime is 141203021430293. The next prime is 141203021430379. The reversal of 141203021430300 is 3034120302141.

It is a happy number.

It is a super-2 number, since 2×1412030214303002 (a number of 29 digits) contains 22 as substring.

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, 150274744 + ... + 151211456.

It is an arithmetic number, because the mean of its divisors is an integer number (2897773468128).

Almost surely, 2141203021430300 is an apocalyptic number.

141203021430300 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 141203021430300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208639689705216).

141203021430300 is an abundant number, since it is smaller than the sum of its proper divisors (276076357980132).

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

141203021430300 is a wasteful number, since it uses less digits than its factorization.

141203021430300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947468 (or 947461 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 141203021430300 its reverse (3034120302141), we get a palindrome (144237141732441).

The spelling of 141203021430300 in words is "one hundred forty-one trillion, two hundred three billion, twenty-one million, four hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 141 150 188 235 282 300 470 564 705 940 1175 1410 2350 2820 3525 4700 7050 10691 14100 21382 32073 42764 53455 64146 106910 128292 160365 213820 267275 320730 502477 534550 641460 801825 936713 1004954 1069100 1507431 1603650 1873426 2009908 2512385 2810139 3014862 3207300 3746852 4683565 5024770 5620278 6029724 7537155 9367130 10049540 11240556 12561925 14050695 15074310 18734260 23417825 25123850 28101390 30148620 37685775 44025511 46835650 50247700 56202780 70253475 75371550 88051022 93671300 132076533 140506950 150743100 176102044 220127555 264153066 281013900 440255110 528306132 660382665 880510220 1100637775 1320765330 2201275550 2641530660 3301913325 4402551100 6603826650 10014398683 13207653300 20028797366 30043196049 40057594732 50071993415 60086392098 100143986830 120172784196 150215980245 200287973660 250359967075 300431960490 470676738101 500719934150 600863920980 751079901225 941353476202 1001439868300 1412030214303 1502159802450 1882706952404 2353383690505 2824060428606 3004319604900 4706767381010 5648120857212 7060151071515 9413534762020 11766918452525 14120302143030 23533836905050 28240604286060 35300755357575 47067673810100 70601510715150 141203021430300