Search a number
-
+
11354040150376 = 23711177115270823
BaseRepresentation
bin1010010100111001000110…
…0001111010100101101000
31111012102202120122210002111
42211032101201322211220
52442011033234303001
640051550220412104
72251205461620550
oct245162141724550
944172676583074
1011354040150376
113688248736010
1213345a50a7034
136448b20311b1
142b3777810160
1514a528264851
hexa539187a968

11354040150376 has 128 divisors (see below), whose sum is σ = 28499022581760. Its totient is φ = 4104796953600.

The previous prime is 11354040150353. The next prime is 11354040150377. The reversal of 11354040150376 is 67305104045311.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11354040150377) 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, 6891900 + ... + 8378923.

It is an arithmetic number, because the mean of its divisors is an integer number (222648613920).

Almost surely, 211354040150376 is an apocalyptic number.

It is an amenable number.

11354040150376 is an abundant number, since it is smaller than the sum of its proper divisors (17144982431384).

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

11354040150376 is a wasteful number, since it uses less digits than its factorization.

11354040150376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15270935 (or 15270931 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

Adding to 11354040150376 its reverse (67305104045311), we get a palindrome (78659144195687).

The spelling of 11354040150376 in words is "eleven trillion, three hundred fifty-four billion, forty million, one hundred fifty thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 11 14 17 22 28 34 44 56 68 71 77 88 119 136 142 154 187 238 284 308 374 476 497 568 616 748 781 952 994 1207 1309 1496 1562 1988 2414 2618 3124 3976 4828 5236 5467 6248 8449 9656 10472 10934 13277 16898 21868 26554 33796 43736 53108 67592 92939 106216 185878 371756 743512 15270823 30541646 61083292 106895761 122166584 167979053 213791522 259603991 335958106 427583044 519207982 671916212 855166088 1038415964 1084228433 1175853371 1343832424 1817227937 2076831928 2168456866 2351706742 2855643901 3634455874 4336913732 4703413484 5711287802 7268911748 7589599031 8673827464 9406826968 11422575604 11926512763 14537823496 15179198062 18431883361 19989507307 22845151208 23853025526 30358396124 36863766722 39979014614 47706051052 60716792248 73727533444 79958029228 83485589341 95412102104 129023183527 147455066888 159916058456 166971178682 202750716971 258046367054 333942357364 405501433942 516092734108 667884714728 811002867884 1032185468216 1419255018797 1622005735768 2838510037594 5677020075188 11354040150376