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1140302124312 = 233132613458629
BaseRepresentation
bin10000100101111111010…
…011011001010100011000
311001000022121121210212120
4100211333103121110120
5122140314320434222
62231503023541240
7145245515063151
oct20457723312430
94030277553776
101140302124312
113aa66590454a
12164bb8a5a820
13836b7620500
143d295c3c928
151e9ddc6615c
hex1097f4d9518

1140302124312 has 96 divisors (see below), whose sum is σ = 3091955043600. Its totient is φ = 350289059328.

The previous prime is 1140302124257. The next prime is 1140302124317. The reversal of 1140302124312 is 2134212030411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140302124317) 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, 2257014 + ... + 2715642.

Almost surely, 21140302124312 is an apocalyptic number.

1140302124312 is a gapful number since it is divisible by the number (12) 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 1140302124312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545977521800).

1140302124312 is an abundant number, since it is smaller than the sum of its proper divisors (1951652919288).

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

1140302124312 is a wasteful number, since it uses less digits than its factorization.

1140302124312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459277 (or 459260 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1140302124312 its reverse (2134212030411), we get a palindrome (3274514154723).

The spelling of 1140302124312 in words is "one trillion, one hundred forty billion, three hundred two million, one hundred twenty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 613 676 1014 1226 1352 1839 2028 2452 3678 4056 4904 7356 7969 14712 15938 23907 31876 47814 63752 95628 103597 191256 207194 310791 414388 458629 621582 828776 917258 1243164 1375887 1834516 2486328 2751774 3669032 5503548 5962177 11007096 11924354 17886531 23848708 35773062 47697416 71546124 77508301 143092248 155016602 232524903 281139577 310033204 465049806 562279154 620066408 843418731 930099612 1124558308 1686837462 1860199224 2249116616 3373674924 3654814501 6747349848 7309629002 10964443503 14619258004 21928887006 29238516008 43857774012 47512588513 87715548024 95025177026 142537765539 190050354052 285075531078 380100708104 570151062156 1140302124312