Search a number
-
+
143126306288 = 2472991148371
BaseRepresentation
bin1000010101001011111…
…1100001110111110000
3111200102201101200201222
42011102333201313300
54321110313300123
6145430141244212
713224542346620
oct2052277416760
9450381350658
10143126306288
1155777083349
12238a4863668
131065c49a984
146cda912880
153aca4146c8
hex2152fe1df0

143126306288 has 80 divisors (see below), whose sum is σ = 328217564160. Its totient is φ = 59158444800.

The previous prime is 143126306287. The next prime is 143126306327. The reversal of 143126306288 is 882603621341.

143126306288 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (143126306287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2934743 + ... + 2983113.

It is an arithmetic number, because the mean of its divisors is an integer number (4102719552).

Almost surely, 2143126306288 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 143126306288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164108782080).

143126306288 is an abundant number, since it is smaller than the sum of its proper divisors (185091257872).

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

143126306288 is a wasteful number, since it uses less digits than its factorization.

143126306288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49326 (or 49320 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 44.

The spelling of 143126306288 in words is "one hundred forty-three billion, one hundred twenty-six million, three hundred six thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 812 911 1624 1822 3248 3644 6377 7288 12754 14576 25508 26419 48371 51016 52838 96742 102032 105676 184933 193484 211352 338597 369866 386968 422704 677194 739732 773936 1354388 1402759 1479464 2708776 2805518 2958928 5417552 5611036 9819313 11222072 19638626 22444144 39277252 44065981 78554504 88131962 157109008 176263924 308461867 352527848 616923734 705055696 1233847468 1277913449 2467694936 2555826898 4935389872 5111653796 8945394143 10223307592 17890788286 20446615184 35781576572 71563153144 143126306288