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143436412900 = 22521143132
BaseRepresentation
bin1000010110010101111…
…0011111011111100100
3111201020022220202001001
42011211132133133210
54322224210203100
6145521020043044
713235326251544
oct2054536373744
9451208822031
10143436412900
1155916130000
1223970693484
13106ab7c6a01
146d29b97324
153ae776cd6a
hex216579f7e4

143436412900 has 135 divisors (see below), whose sum is σ = 343477954155. Its totient is φ = 51992054400.

The previous prime is 143436412897. The next prime is 143436412907. The reversal of 143436412900 is 9214634341.

The square root of 143436412900 is 378730.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 80579905956 + 62856506944 = 283866^2 + 250712^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 143436412900.

It is not an unprimeable number, because it can be changed into a prime (143436412907) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 458263144 + ... + 458263456.

Almost surely, 2143436412900 is an apocalyptic number.

143436412900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

143436412900 is the 378730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 143436412900

143436412900 is an abundant number, since it is smaller than the sum of its proper divisors (200041541255).

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

143436412900 is an frugal number, since it uses more digits than its factorization.

143436412900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 143436412900 in words is "one hundred forty-three billion, four hundred thirty-six million, four hundred twelve thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 313 484 550 605 626 1100 1210 1252 1331 1565 2420 2662 3025 3130 3443 5324 6050 6260 6655 6886 7825 12100 13310 13772 14641 15650 17215 26620 29282 31300 33275 34430 37873 58564 66550 68860 73205 75746 86075 97969 133100 146410 151492 172150 189365 195938 292820 344300 366025 378730 391876 416603 489845 732050 757460 833206 946825 979690 1077659 1464100 1666412 1893650 1959380 2083015 2155318 2449225 3787300 4166030 4310636 4582633 4898450 5388295 8332060 9165266 9796900 10415075 10776590 11854249 18330532 20830150 21553180 22913165 23708498 26941475 41660300 45826330 47416996 53882950 59271245 91652660 107765900 114565825 118542490 130396739 229131650 237084980 260793478 296356225 458263300 521586956 592712450 651983695 1185424900 1303967390 1434364129 2607934780 2868728258 3259918475 5737456516 6519836950 7171820645 13039673900 14343641290 28687282580 35859103225 71718206450 143436412900