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141012213221040 = 2435783935841203
BaseRepresentation
bin100000000011111111110110…
…111000001100011010110000
3200111021122011120222212201020
4200003333312320030122300
5121440321003041033130
61215524041053135440
741462540045512410
oct4003776670143260
9614248146885636
10141012213221040
1140a26a42200947
1213995140a8a580
13608b519076a45
1426b70557b6640
1511480b808ee10
hex803ff6e0c6b0

141012213221040 has 80 divisors (see below), whose sum is σ = 499586126846208. Its totient is φ = 32231363021568.

The previous prime is 141012213221017. The next prime is 141012213221051. The reversal of 141012213221040 is 40122312210141.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 141012213221040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41967918922 + ... + 41967922281.

Almost surely, 2141012213221040 is an apocalyptic number.

141012213221040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141012213221040 is an abundant number, since it is smaller than the sum of its proper divisors (358573913625168).

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

141012213221040 is a wasteful number, since it uses less digits than its factorization.

141012213221040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83935841226 (or 83935841220 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 141012213221040 its reverse (40122312210141), we get a palindrome (181134525431181).

The spelling of 141012213221040 in words is "one hundred forty-one trillion, twelve billion, two hundred thirteen million, two hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 83935841203 167871682406 251807523609 335743364812 419679206015 503615047218 587550888421 671486729624 839358412030 1007230094436 1175101776842 1259037618045 1342973459248 1678716824060 1762652665263 2014460188872 2350203553684 2518075236090 2937754442105 3357433648120 3525305330526 4028920377744 4700407107368 5036150472180 5875508884210 6714867296240 7050610661052 8813263326315 9400814214736 10072300944360 11751017768420 14101221322104 17626526652630 20144601888720 23502035536840 28202442644208 35253053305260 47004071073680 70506106610520 141012213221040