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141214041420 = 22356797362143
BaseRepresentation
bin1000001110000100000…
…0110100010101001100
3111111111110010120111020
42003201000310111030
54303201243311140
6144512310554140
713126262355444
oct2034100642514
9444443116436
10141214041420
1154985710461
1223450368950
13104162616ba
146b98975124
153a175d26d0
hex20e103454c

141214041420 has 96 divisors (see below), whose sum is σ = 405439039488. Its totient is φ = 36712507392.

The previous prime is 141214041407. The next prime is 141214041439. The reversal of 141214041420 is 24140412141.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208869 + ... + 571011.

It is an arithmetic number, because the mean of its divisors is an integer number (4223323328).

Almost surely, 2141214041420 is an apocalyptic number.

141214041420 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 141214041420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202719519744).

141214041420 is an abundant number, since it is smaller than the sum of its proper divisors (264224998068).

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

141214041420 is a wasteful number, since it uses less digits than its factorization.

141214041420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362319 (or 362317 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 141214041420 its reverse (24140412141), we get a palindrome (165354453561).

The spelling of 141214041420 in words is "one hundred forty-one billion, two hundred fourteen million, forty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 97 134 194 201 268 291 335 388 402 485 582 670 804 970 1005 1164 1340 1455 1940 2010 2910 4020 5820 6499 12998 19497 25996 32495 38994 64990 77988 97485 129980 194970 362143 389940 724286 1086429 1448572 1810715 2172858 3621430 4345716 5432145 7242860 10864290 21728580 24263581 35127871 48527162 70255742 72790743 97054324 105383613 121317905 140511484 145581486 175639355 210767226 242635810 291162972 351278710 363953715 421534452 485271620 526918065 702557420 727907430 1053836130 1455814860 2107672260 2353567357 4707134714 7060702071 9414269428 11767836785 14121404142 23535673570 28242808284 35303510355 47071347140 70607020710 141214041420