Search a number
-
+
1003242440000 = 265473334217
BaseRepresentation
bin11101001100101011110…
…10001100010101000000
310112220112200122102222102
432212111322030111000
5112414120031040000
62044514435125532
7132324166015613
oct16462572142500
93486480572872
101003242440000
11357522226079
12142527a438a8
13737b3c766a8
14367b2d1c17a
151b16b2493d5
hexe995e8c540

1003242440000 has 140 divisors (see below), whose sum is σ = 2491181882244. Its totient is φ = 400737792000.

The previous prime is 1003242439961. The next prime is 1003242440003. The reversal of 1003242440000 is 442423001.

It can be written as a sum of positive squares in 10 ways, for example, as 198231533824 + 805010906176 = 445232^2 + 897224^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003242440003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29302892 + ... + 29337108.

Almost surely, 21003242440000 is an apocalyptic number.

1003242440000 is a gapful number since it is divisible by the number (10) 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 1003242440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245590941122).

1003242440000 is an abundant number, since it is smaller than the sum of its proper divisors (1487939442244).

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

1003242440000 is an frugal number, since it uses more digits than its factorization.

1003242440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34982 (or 34957 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 1003242440000 its reverse (442423001), we get a palindrome (1003684863001).

The spelling of 1003242440000 in words is "one trillion, three billion, two hundred forty-two million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 733 800 1000 1250 1466 1600 2000 2500 2932 3665 4000 5000 5864 7330 8000 10000 11728 14660 18325 20000 23456 29320 34217 36650 40000 46912 58640 68434 73300 91625 117280 136868 146600 171085 183250 234560 273736 293200 342170 366500 458125 547472 586400 684340 733000 855425 916250 1094944 1172800 1368680 1466000 1710850 1832500 2189888 2737360 2932000 3421700 3665000 4277125 5474720 5864000 6843400 7330000 8554250 10949440 13686800 14660000 17108500 21385625 25081061 27373600 29320000 34217000 42771250 50162122 54747200 68434000 85542500 100324244 125405305 136868000 171085000 200648488 250810610 273736000 342170000 401296976 501621220 627026525 684340000 802593952 1003242440 1254053050 1368680000 1605187904 2006484880 2508106100 3135132625 4012969760 5016212200 6270265250 8025939520 10032424400 12540530500 15675663125 20064848800 25081061000 31351326250 40129697600 50162122000 62702652500 100324244000 125405305000 200648488000 250810610000 501621220000 1003242440000