Search a number
-
+
1144403101424 = 2411375922913007
BaseRepresentation
bin10000101001110011101…
…111011000011011110000
311001101220102100000212202
4100221303233120123300
5122222214143221144
62233422002042332
7145452242601512
oct20516357303360
94041812300782
101144403101424
1140137a797330
121659623493a8
1383bbc13839b
143d564759bb2
151eb7dcd564e
hex10a73bd86f0

1144403101424 has 160 divisors (see below), whose sum is σ = 2537559014400. Its totient is φ = 495335070720.

The previous prime is 1144403101423. The next prime is 1144403101481. The reversal of 1144403101424 is 4241013044411.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144403101423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87977129 + ... + 87990135.

It is an arithmetic number, because the mean of its divisors is an integer number (15859743840).

Almost surely, 21144403101424 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 1144403101424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268779507200).

1144403101424 is an abundant number, since it is smaller than the sum of its proper divisors (1393155912976).

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

1144403101424 is a wasteful number, since it uses less digits than its factorization.

1144403101424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13351 (or 13345 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 1144403101424 its reverse (4241013044411), we get a palindrome (5385416145835).

The spelling of 1144403101424 in words is "one trillion, one hundred forty-four billion, four hundred three million, one hundred one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 37 44 59 74 88 118 148 176 229 236 296 407 458 472 592 649 814 916 944 1298 1628 1832 2183 2519 2596 3256 3664 4366 5038 5192 6512 8473 8732 10076 10384 13007 13511 16946 17464 20152 24013 26014 27022 33892 34928 40304 48026 52028 54044 67784 93203 96052 104056 108088 135568 143077 148621 186406 192104 208112 216176 286154 297242 372812 384208 481259 499907 572308 594484 745624 767413 962518 999814 1144616 1188968 1491248 1534826 1925036 1999628 2289232 2377936 2978603 3069652 3850072 3999256 5293849 5498977 5957206 6139304 7700144 7998512 8441543 10587698 10997954 11914412 12278608 16883086 21175396 21995908 23828824 28394281 32764633 33766172 42350792 43991816 47657648 56788562 65529266 67532344 84701584 87983632 110208311 113577124 131058532 135064688 175737577 220416622 227154248 262117064 312337091 351475154 440833244 454308496 524234128 624674182 702950308 881666488 1212291421 1249348364 1405900616 1763332976 1933113347 2424582842 2498696728 2811801232 3866226694 4849165684 4997393456 6502290349 7732453388 9698331368 13004580698 15464906776 19396662736 26009161396 30929813552 52018322792 71525193839 104036645584 143050387678 286100775356 572201550712 1144403101424