Search a number
-
+
1141340144 = 247231151311
BaseRepresentation
bin100010000000111…
…0111011111110000
32221112122002100012
41010001313133300
54314140341034
6305130514052
740166142200
oct10401673760
92845562305
101141340144
1153629081a
1227a295928
131525c64c9
14ab820400
156a2eecce
hex440777f0

1141340144 has 120 divisors (see below), whose sum is σ = 2681542656. Its totient is φ = 468720000.

The previous prime is 1141340141. The next prime is 1141340171. The reversal of 1141340144 is 4410431411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141340141) 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, 3669749 + ... + 3670059.

Almost surely, 21141340144 is an apocalyptic number.

1141340144 is a gapful number since it is divisible by the number (14) 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 1141340144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340771328).

1141340144 is an abundant number, since it is smaller than the sum of its proper divisors (1540202512).

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

1141340144 is a wasteful number, since it uses less digits than its factorization.

1141340144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 1141340144 is about 33783.7260230425. The cubic root of 1141340144 is about 1045.0531154370.

Adding to 1141340144 its reverse (4410431411), we get a palindrome (5551771555).

The spelling of 1141340144 in words is "one billion, one hundred forty-one million, three hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 49 56 62 98 112 124 151 196 217 248 302 311 392 434 496 604 622 784 868 1057 1208 1244 1519 1736 2114 2177 2416 2488 3038 3472 4228 4354 4681 4976 6076 7399 8456 8708 9362 9641 12152 14798 15239 16912 17416 18724 19282 24304 29596 30478 32767 34832 37448 38564 46961 59192 60956 65534 67487 74896 77128 93922 118384 121912 131068 134974 154256 187844 229369 243824 262136 269948 328727 375688 458738 472409 524272 539896 657454 751376 917476 944818 1079792 1314908 1455791 1834952 1889636 2301089 2629816 2911582 3669904 3779272 4602178 5259632 5823164 7558544 9204356 10190537 11646328 18408712 20381074 23292656 36817424 40762148 71333759 81524296 142667518 163048592 285335036 570670072 1141340144