Search a number
-
+
1003210301440 = 2135132718457
BaseRepresentation
bin11101001100100111111…
…11100110000000000000
310112220110110011122011101
432212103333212000000
5112414033314121230
62044511330224144
7132323325602314
oct16462377460000
93486413148141
101003210301440
11357506074986
12142519125054
13737aa4031a9
14367ac953b44
151b1684ebaca
hexe993fe6000

1003210301440 has 112 divisors (see below), whose sum is σ = 2409502594752. Its totient is φ = 400959995904.

The previous prime is 1003210301411. The next prime is 1003210301449. The reversal of 1003210301440 is 441030123001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003210301449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54344692 + ... + 54363148.

Almost surely, 21003210301440 is an apocalyptic number.

1003210301440 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 1003210301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204751297376).

1003210301440 is an abundant number, since it is smaller than the sum of its proper divisors (1406292293312).

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

1003210301440 is an equidigital number, since it uses as much as digits as its factorization.

1003210301440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19815 (or 19791 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 1003210301440 its reverse (441030123001), we get a palindrome (1444240424441).

The spelling of 1003210301440 in words is "one trillion, three billion, two hundred ten million, three hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 1327 2048 2560 2654 4096 5120 5308 6635 8192 10240 10616 13270 18457 20480 21232 26540 36914 40960 42464 53080 73828 84928 92285 106160 147656 169856 184570 212320 295312 339712 369140 424640 590624 679424 738280 849280 1181248 1358848 1476560 1698560 2362496 2717696 2953120 3397120 4724992 5435392 5906240 6794240 9449984 10870784 11812480 13588480 18899968 23624960 24492439 27176960 37799936 47249920 48984878 54353920 75599872 94499840 97969756 122462195 151199744 188999680 195939512 244924390 377999360 391879024 489848780 755998720 783758048 979697560 1567516096 1959395120 3135032192 3918790240 6270064384 7837580480 12540128768 15675160960 25080257536 31350321920 50160515072 62700643840 100321030144 125401287680 200642060288 250802575360 501605150720 1003210301440