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141416220721350 = 23526120837419743
BaseRepresentation
bin100000001001111000000111…
…100110100000000011000110
3200112201020222120101100122110
4200021320013212200003012
5122013430410001040400
61220433414232041450
741533661531555661
oct4011700746400306
9615636876340573
10141416220721350
114107231197a573
1213a3b4b2233286
1360ba652a31633
1426cc81dcc26d8
1511538616e0e50
hex809e079a00c6

141416220721350 has 96 divisors (see below), whose sum is σ = 356632785183744. Its totient is φ = 37074966825600.

The previous prime is 141416220721337. The next prime is 141416220721361. The reversal of 141416220721350 is 53127022614141.

It is a happy number.

141416220721350 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1414162207213502 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 141416220721299 and 141416220721308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15349579 + ... + 22769321.

It is an arithmetic number, because the mean of its divisors is an integer number (3714924845664).

Almost surely, 2141416220721350 is an apocalyptic number.

141416220721350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141416220721350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178316392591872).

141416220721350 is an abundant number, since it is smaller than the sum of its proper divisors (215216564462394).

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

141416220721350 is a wasteful number, since it uses less digits than its factorization.

141416220721350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7421902 (or 7421897 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 141416220721350 in words is "one hundred forty-one trillion, four hundred sixteen billion, two hundred twenty million, seven hundred twenty-one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 61 75 122 150 183 305 366 610 915 1525 1830 2083 3050 4166 4575 6249 9150 10415 12498 20830 31245 52075 62490 104150 127063 156225 254126 312450 381189 635315 762378 1270630 1905945 3176575 3811890 6353150 7419743 9529725 14839486 19059450 22259229 37098715 44518458 74197430 111296145 185493575 222592290 370987150 452604323 556480725 905208646 1112961450 1357812969 2263021615 2715625938 4526043230 6789064845 11315108075 13578129690 15455324669 22630216150 30910649338 33945324225 46365974007 67890648450 77276623345 92731948014 154553246690 231829870035 386383116725 463659740070 772766233450 942774804809 1159149350175 1885549609618 2318298700350 2828324414427 4713874024045 5656648828854 9427748048090 14141622072135 23569370120225 28283244144270 47138740240450 70708110360675 141416220721350