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141434130300 = 223523161249311
BaseRepresentation
bin1000001110111000100…
…0011000111101111100
3111112001210021020200020
42003232020120331330
54304124114132200
6144550212132140
713134604162131
oct2035610307574
9445053236606
10141434130300
1154a889744a1
12234b2007050
131044ca306c8
146bb9ca6588
153a2baa8ea0
hex20ee218f7c

141434130300 has 144 divisors (see below), whose sum is σ = 429343186944. Its totient is φ = 35900640000.

The previous prime is 141434130293. The next prime is 141434130307. The reversal of 141434130300 is 3031434141.

141434130300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (141434130293) and next prime (141434130307).

It is a super-2 number, since 2×1414341303002 (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 (141434130307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 442645 + ... + 691955.

Almost surely, 2141434130300 is an apocalyptic number.

141434130300 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 141434130300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214671593472).

141434130300 is an abundant number, since it is smaller than the sum of its proper divisors (287909056644).

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

141434130300 is a wasteful number, since it uses less digits than its factorization.

141434130300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249420 (or 249413 counting only the distinct ones).

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

Adding to 141434130300 its reverse (3031434141), we get a palindrome (144465564441).

The spelling of 141434130300 in words is "one hundred forty-one billion, four hundred thirty-four million, one hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 61 62 75 93 100 122 124 150 155 183 186 244 300 305 310 366 372 465 610 620 732 775 915 930 1220 1525 1550 1830 1860 1891 2325 3050 3100 3660 3782 4575 4650 5673 6100 7564 9150 9300 9455 11346 18300 18910 22692 28365 37820 47275 56730 94550 113460 141825 189100 249311 283650 498622 567300 747933 997244 1246555 1495866 2493110 2991732 3739665 4986220 6232775 7479330 7728641 12465550 14958660 15207971 15457282 18698325 23185923 24931100 30415942 30914564 37396650 38643205 45623913 46371846 60831884 74793300 76039855 77286410 91247826 92743692 115929615 152079710 154572820 182495652 193216025 228119565 231859230 304159420 380199275 386432050 456239130 463718460 471447101 579648075 760398550 772864100 912478260 942894202 1140597825 1159296150 1414341303 1520797100 1885788404 2281195650 2318592300 2357235505 2828682606 4562391300 4714471010 5657365212 7071706515 9428942020 11786177525 14143413030 23572355050 28286826060 35358532575 47144710100 70717065150 141434130300