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11412410004512 = 2511145934336473
BaseRepresentation
bin1010011000010010100010…
…1001001111010000100000
31111102000102110211121002222
42212010220221033100200
52443440103430121022
640134442213130212
72255343105321446
oct246045051172040
944360373747088
1011412410004512
1136aaa80a21390
121343975029968
1364a254b2c11a
142b65139a2b96
1514bce2811242
hexa6128a4f420

11412410004512 has 96 divisors (see below), whose sum is σ = 24538478852160. Its totient is φ = 5181592965120.

The previous prime is 11412410004509. The next prime is 11412410004517. The reversal of 11412410004512 is 21540001421411.

It is a happy number.

It is a super-2 number, since 2×114124100045122 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11412410004517) 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, 1763075708 + ... + 1763082180.

It is an arithmetic number, because the mean of its divisors is an integer number (255609154710).

Almost surely, 211412410004512 is an apocalyptic number.

It is an amenable number.

11412410004512 is an abundant number, since it is smaller than the sum of its proper divisors (13126068847648).

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

11412410004512 is a wasteful number, since it uses less digits than its factorization.

11412410004512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11386 (or 11378 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

Adding to 11412410004512 its reverse (21540001421411), we get a palindrome (32952411425923).

The spelling of 11412410004512 in words is "eleven trillion, four hundred twelve billion, four hundred ten million, four thousand, five hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 1459 2918 3433 5836 6473 6866 11672 12946 13732 16049 23344 25892 27464 32098 37763 46688 51784 54928 64196 71203 75526 103568 109856 128392 142406 151052 207136 256784 284812 302104 513568 569624 604208 1139248 1208416 2278496 5008747 9444107 10017494 18888214 20034988 22221809 37776428 40069976 44443618 55096217 75552856 80139952 88887236 103885177 110192434 151105712 160279904 177774472 207770354 220384868 244439899 302211424 355548944 415540708 440769736 488879798 711097888 831081416 881539472 977759596 1662162832 1763078944 1955519192 3324325664 3911038384 7822076768 32421619331 64843238662 129686477324 259372954648 356637812641 518745909296 713275625282 1037491818592 1426551250564 2853102501128 5706205002256 11412410004512