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14221134135032 = 231123193360710093
BaseRepresentation
bin1100111011110001110110…
…1001011111111011111000
31212100112020021210221021212
43032330131221133323320
53330444340314310112
650125033203022252
72665304650444436
oct316743551377370
955315207727255
1014221134135032
114593170525290
12171819906a988
137c207c8c0866
143724412dbd56
15199dce968522
hexcef1da5fef8

14221134135032 has 128 divisors (see below), whose sum is σ = 30522162908160. Its totient is φ = 6148750417920.

The previous prime is 14221134135029. The next prime is 14221134135049. The reversal of 14221134135032 is 23053143112241.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 14221134135032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1409004578 + ... + 1409014670.

It is an arithmetic number, because the mean of its divisors is an integer number (238454397720).

Almost surely, 214221134135032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14221134135032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15261081454080).

14221134135032 is an abundant number, since it is smaller than the sum of its proper divisors (16301028773128).

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

14221134135032 is a wasteful number, since it uses less digits than its factorization.

14221134135032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13933 (or 13929 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 14221134135032 its reverse (23053143112241), we get a palindrome (37274277247273).

It can be divided in two parts, 142211 and 34135032, that added together give a palindrome (34277243).

The spelling of 14221134135032 in words is "fourteen trillion, two hundred twenty-one billion, one hundred thirty-four million, one hundred thirty-five thousand, thirty-two".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 193 253 386 506 772 1012 1544 2024 2123 3607 4246 4439 7214 8492 8878 10093 14428 16984 17756 20186 28856 35512 39677 40372 48829 79354 80744 82961 97658 111023 158708 165922 195316 222046 232139 317416 331844 390632 444092 464278 663688 696151 888184 912571 928556 1392302 1825142 1857112 1947949 2553529 2784604 3650284 3895898 5107058 5569208 7300568 7657661 7791796 10214116 15315322 15583592 16011473 20428232 21427439 30630644 32022946 36405451 42854878 44802827 61261288 64045892 72810902 85709756 89605654 128091784 145621804 171419512 176126203 179211308 291243608 352252406 358422616 400459961 492831097 704504812 800919922 837325373 985662194 1409009624 1601839844 1674650746 1971324388 3203679688 3349301492 3942648776 6698602984 7026252043 9210579103 14052504086 18421158206 28105008172 36842316412 56210016344 73684632824 77288772473 154577544946 161603796989 309155089892 323207593978 618310179784 646415187956 1292830375912 1777641766879 3555283533758 7110567067516 14221134135032