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1143133421412 = 2231737412736697
BaseRepresentation
bin10000101000101000000…
…011111011111101100100
311001021121221012121100010
4100220220003323331210
5122212114123441122
62233052004250220
7145405624521513
oct20505003737544
94037557177303
101143133421412
11400889018a04
121656690a0970
1383a49087c38
143d483c8c67a
151eb075d3e0c
hex10a280fbf64

1143133421412 has 96 divisors (see below), whose sum is σ = 2901323916288. Its totient is φ = 348843331584.

The previous prime is 1143133421393. The next prime is 1143133421503. The reversal of 1143133421412 is 2141243313411.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1143133421412.

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 31 ways as a sum of consecutive naturals, for example, 31132248 + ... + 31168944.

It is an arithmetic number, because the mean of its divisors is an integer number (30222124128).

Almost surely, 21143133421412 is an apocalyptic number.

1143133421412 is a gapful number since it is divisible by the number (12) 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 1143133421412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450661958144).

1143133421412 is an abundant number, since it is smaller than the sum of its proper divisors (1758190494876).

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

1143133421412 is a wasteful number, since it uses less digits than its factorization.

1143133421412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40885 (or 40883 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

Adding to 1143133421412 its reverse (2141243313411), we get a palindrome (3284376734823).

The spelling of 1143133421412 in words is "one trillion, one hundred forty-three billion, one hundred thirty-three million, four hundred twenty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 37 51 68 74 102 111 148 204 222 444 629 1258 1887 2516 3774 4127 7548 8254 12381 16508 24762 36697 49524 70159 73394 110091 140318 146788 152699 210477 220182 280636 305398 420954 440364 458097 610796 623849 841908 916194 1247698 1357789 1832388 1871547 2495396 2595883 2715578 3743094 4073367 5191766 5431156 7486188 7787649 8146734 10383532 15575298 16293468 23082413 31150596 46164826 69247239 92329652 138494478 151448519 276988956 302897038 454345557 605794076 908691114 1817382228 2574624823 5149249646 5603595203 7723874469 10298499292 11207190406 15447748938 16810785609 22414380812 30895497876 33621571218 67243142436 95261118451 190522236902 285783355353 381044473804 571566710706 1143133421412