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141983799280 = 24518142123291
BaseRepresentation
bin1000010000111011100…
…1001101011111110000
3111120111002120022202121
42010032321031133300
54311240323034110
6145120525324024
713154330244451
oct2041671153760
9446432508677
10141983799280
1155240175984
1223626106614
131050988631b
146c2ccab128
153a5ee83cda
hex210ee4d7f0

141983799280 has 80 divisors (see below), whose sum is σ = 332738890848. Its totient is φ = 56343168000.

The previous prime is 141983799263. The next prime is 141983799337. The reversal of 141983799280 is 82997389141.

141983799280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6084435 + ... + 6107725.

Almost surely, 2141983799280 is an apocalyptic number.

141983799280 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 141983799280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166369445424).

141983799280 is an abundant number, since it is smaller than the sum of its proper divisors (190755091568).

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

141983799280 is a wasteful number, since it uses less digits than its factorization.

141983799280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23906 (or 23900 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 61.

The spelling of 141983799280 in words is "one hundred forty-one billion, nine hundred eighty-three million, seven hundred ninety-nine thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 181 362 421 724 842 905 1448 1684 1810 2105 2896 3368 3620 4210 6736 7240 8420 14480 16840 23291 33680 46582 76201 93164 116455 152402 186328 232910 304804 372656 381005 465820 609608 762010 931640 1219216 1524020 1863280 3048040 4215671 6096080 8431342 9805511 16862684 19611022 21078355 33725368 39222044 42156710 49027555 67450736 78444088 84313420 98055110 156888176 168626840 196110220 337253680 392220440 784440880 1774797491 3549594982 7099189964 8873987455 14198379928 17747974910 28396759856 35495949820 70991899640 141983799280