Search a number
-
+
1143112101144 = 2331394717532207
BaseRepresentation
bin10000101000100110110…
…010100110110100011000
311001021120110002102102120
4100220212302212310120
5122212043144214034
62233045523301240
7145405245353346
oct20504662466430
94037513072376
101143112101144
11400877a86752
12165661b1a820
1383a448318b0
143d4810dc996
151eb057c1c49
hex10a26ca6d18

1143112101144 has 128 divisors (see below), whose sum is σ = 3084013578240. Its totient is φ = 350995848192.

The previous prime is 1143112101121. The next prime is 1143112101191. The reversal of 1143112101144 is 4411012113411.

It is a happy number.

It is a super-2 number, since 2×11431121011442 (a number of 25 digits) contains 22 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 517947289 + ... + 517949495.

It is an arithmetic number, because the mean of its divisors is an integer number (24093856080).

Almost surely, 21143112101144 is an apocalyptic number.

It is an amenable number.

1143112101144 is an abundant number, since it is smaller than the sum of its proper divisors (1940901477096).

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

1143112101144 is a wasteful number, since it uses less digits than its factorization.

1143112101144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4929 (or 4925 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 1143112101144 its reverse (4411012113411), we get a palindrome (5554124214555).

The spelling of 1143112101144 in words is "one trillion, one hundred forty-three billion, one hundred twelve million, one hundred one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 947 1753 1894 2207 2841 3506 3788 4414 5259 5682 6621 7012 7576 8828 10518 11364 12311 13242 14024 17656 21036 22728 22789 24622 26484 28691 36933 42072 45578 49244 52968 57382 68367 73866 86073 91156 98488 114764 136734 147732 172146 182312 229528 273468 295464 344292 546936 688584 1660091 2090029 3320182 3868871 4180058 4980273 6270087 6640364 7737742 8360116 9960546 11606613 12540174 13280728 15475484 16720232 19921092 21581183 23213226 25080348 27170377 30950968 39842184 43162366 46426452 50160696 50295323 54340754 64743549 81511131 86324732 92852904 100590646 108681508 129487098 150885969 163022262 172649464 201181292 217363016 258974196 301771938 326044524 402362584 517948392 603543876 652089048 1207087752 3663820837 7327641674 10991462511 14655283348 21982925022 29310566696 43965850044 47629670881 87931700088 95259341762 142889012643 190518683524 285778025286 381037367048 571556050572 1143112101144