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1002143301444 = 22359531081859
BaseRepresentation
bin11101001010101000110…
…01010011111101000100
310112210201002102102100000
432211110121103331010
5112404342141121234
62044213412521300
7132255021341205
oct16452431237504
93483632372300
101002143301444
11357008849aaa
1214227b920230
137366a337b4c
143670ad655ac
151b1049d3899
hexe954653f44

1002143301444 has 72 divisors (see below), whose sum is σ = 2629776633120. Its totient is φ = 333696936384.

The previous prime is 1002143301409. The next prime is 1002143301449. The reversal of 1002143301444 is 4441033412001.

1002143301444 is a `hidden beast` number, since 1 + 0 + 0 + 214 + 3 + 3 + 0 + 1 + 444 = 666.

1002143301444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1002143301449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 385387 + ... + 1467245.

It is an arithmetic number, because the mean of its divisors is an integer number (36524675460).

Almost surely, 21002143301444 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 1002143301444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314888316560).

1002143301444 is an abundant number, since it is smaller than the sum of its proper divisors (1627633331676).

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

1002143301444 is a wasteful number, since it uses less digits than its factorization.

1002143301444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082831 (or 1082817 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1002143301444 its reverse (4441033412001), we get a palindrome (5443176713445).

The spelling of 1002143301444 in words is "one trillion, two billion, one hundred forty-three million, three hundred one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 953 972 1906 2859 3812 5718 8577 11436 17154 25731 34308 51462 77193 102924 154386 231579 308772 463158 926316 1081859 2163718 3245577 4327436 6491154 9736731 12982308 19473462 29210193 38946924 58420386 87630579 116840772 175261158 262891737 350522316 525783474 1031011627 1051566948 2062023254 3093034881 4124046508 6186069762 9279104643 12372139524 18558209286 27837313929 37116418572 55674627858 83511941787 111349255716 167023883574 250535825361 334047767148 501071650722 1002143301444