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3103410144 = 253192149601
BaseRepresentation
bin1011100011111010…
…0100011111100000
322000021121120101110
42320332210133200
522323433111034
61231540503320
7136622356662
oct27076443740
98007546343
103103410144
111352880a7a
127273aab40
133a5c50283
14216244532
151326bdde9
hexb8fa47e0

3103410144 has 144 divisors (see below), whose sum is σ = 8669883600. Its totient is φ = 971827200.

The previous prime is 3103410139. The next prime is 3103410179. The reversal of 3103410144 is 4410143013.

It is a self number, because there is not a number n which added to its sum of digits gives 3103410144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5163444 + ... + 5164044.

It is an arithmetic number, because the mean of its divisors is an integer number (60207525).

Almost surely, 23103410144 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 3103410144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4334941800).

3103410144 is an abundant number, since it is smaller than the sum of its proper divisors (5566473456).

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

3103410144 is a wasteful number, since it uses less digits than its factorization.

3103410144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3103410144 is about 55708.2592081282. The cubic root of 3103410144 is about 1458.6341990433.

Adding to 3103410144 its reverse (4410143013), we get a palindrome (7513553157).

The spelling of 3103410144 in words is "three billion, one hundred three million, four hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 149 152 228 298 304 361 447 456 596 601 608 722 894 912 1083 1192 1202 1444 1788 1803 1824 2166 2384 2404 2831 2888 3576 3606 4332 4768 4808 5662 5776 7152 7212 8493 8664 9616 11324 11419 11552 14304 14424 16986 17328 19232 22648 22838 28848 33972 34257 34656 45296 45676 53789 57696 67944 68514 89549 90592 91352 107578 135888 137028 161367 179098 182704 215156 216961 268647 271776 274056 322734 358196 365408 430312 433922 537294 548112 645468 650883 716392 860624 867844 1074588 1096224 1290936 1301766 1432784 1701431 1721248 1735688 2149176 2581872 2603532 2865568 3402862 3471376 4298352 5104293 5163744 5207064 6805724 6942752 8596704 10208586 10414128 13611448 20417172 20828256 27222896 32327189 40834344 54445792 64654378 81668688 96981567 129308756 163337376 193963134 258617512 387926268 517235024 775852536 1034470048 1551705072 3103410144