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2143546453412 = 227213101282469
BaseRepresentation
bin11111001100010101010…
…100110010110110100100
321120220212102211020012122
4133030111110302312210
5240104440343002122
64320422011405112
7310603036140500
oct37142524626644
97526772736178
102143546453412
117570890aa961
122a7525453798
1312719baa89c0
1475a690cd300
153ab5a235142
hex1f315532da4

2143546453412 has 108 divisors (see below), whose sum is σ = 4746359458260. Its totient is φ = 839590214400.

The previous prime is 2143546453387. The next prime is 2143546453421.

2143546453412 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 993024208036 + 1150522245376 = 996506^2 + 1072624^2 .

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25950914 + ... + 26033382.

Almost surely, 22143546453412 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 2143546453412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2373179729130).

2143546453412 is an abundant number, since it is smaller than the sum of its proper divisors (2602813004848).

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

2143546453412 is a wasteful number, since it uses less digits than its factorization.

2143546453412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82702 (or 82592 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 44.

The spelling of 2143546453412 in words is "two trillion, one hundred forty-three billion, five hundred forty-six million, four hundred fifty-three thousand, four hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 101 182 196 202 364 404 637 707 1274 1313 1414 2548 2626 2828 4949 5252 9191 9898 10201 18382 19796 20402 36764 40804 64337 71407 82469 128674 132613 142814 164938 257348 265226 285628 329876 499849 530452 577283 928291 999698 1072097 1154566 1856582 1999396 2144194 2309132 3713164 4040981 4288388 6498037 7504679 8081962 8329369 12996074 15009358 16163924 16658738 25992148 30018716 33317476 52532753 58305583 105065506 108281797 116611166 210131012 216563594 233222332 408139081 433127188 757972579 816278162 841266269 1515945158 1632556324 1682532538 3031890316 3365065076 5305808053 5888863883 10611616106 10936461497 11777727766 21223232212 21872922994 23555455532 41222047181 43745845988 76555230479 82444094362 153110460958 164888188724 306220921916 535886613353 1071773226706 2143546453412