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141214010013020 = 225711375711791673
BaseRepresentation
bin100000000110111011110010…
…111001110111010101011100
3200111222221001011021001102202
4200012323302321313111130
5122002122243030404040
61220200453130511032
741513242545113120
oct4006736271672534
9614887034231382
10141214010013020
1140aa458623549a
1213a0827a295478
1360a4568701a29
1426c2b1a377580
15114d479137015
hex806ef2e7755c

141214010013020 has 96 divisors (see below), whose sum is σ = 342364556919168. Its totient is φ = 47924373676032.

The previous prime is 141214010012981. The next prime is 141214010013023. The reversal of 141214010013020 is 20310010412141.

141214010013020 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-3 number, since 3×1412140100130203 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 141214010012983 and 141214010013001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141214010013023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6079904 + ... + 17871576.

It is an arithmetic number, because the mean of its divisors is an integer number (3566297467908).

Almost surely, 2141214010013020 is an apocalyptic number.

141214010013020 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 141214010013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171182278459584).

141214010013020 is an abundant number, since it is smaller than the sum of its proper divisors (201150546906148).

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

141214010013020 is a wasteful number, since it uses less digits than its factorization.

141214010013020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11792559 (or 11792557 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 141214010013020 its reverse (20310010412141), we get a palindrome (161524020425161).

The spelling of 141214010013020 in words is "one hundred forty-one trillion, two hundred fourteen billion, ten million, thirteen thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 113 140 226 452 565 757 791 1130 1514 1582 2260 3028 3164 3785 3955 5299 7570 7910 10598 15140 15820 21196 26495 52990 85541 105980 171082 342164 427705 598787 855410 1197574 1710820 2395148 2993935 5987870 11791673 11975740 23583346 47166692 58958365 82541711 117916730 165083422 235833460 330166844 412708555 825417110 1332459049 1650834220 2664918098 5329836196 6662295245 8926296461 9327213343 13324590490 17852592922 18654426686 26649180980 35705185844 37308853372 44631482305 46636066715 62484075227 89262964610 93272133430 124968150454 178525929220 186544266860 249936300908 312420376135 624840752270 1008671500093 1249681504540 2017343000186 4034686000372 5043357500465 7060700500651 10086715000930 14121401001302 20173430001860 28242802002604 35303502503255 70607005006510 141214010013020