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11134154240 = 295112711459
BaseRepresentation
bin10100101111010010…
…11011011000000000
31001201221212122020222
422113221123120000
5140300320413430
65040455322212
7542625515036
oct122751333000
931657778228
1011134154240
1147a3a37970
1221a8980368
131085968c61
14778a32556
1545273d9e5
hex297a5b600

11134154240 has 160 divisors (see below), whose sum is σ = 29250270720. Its totient is φ = 4031078400.

The previous prime is 11134154221. The next prime is 11134154243. The reversal of 11134154240 is 4245143111.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11134154243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7630631 + ... + 7632089.

It is an arithmetic number, because the mean of its divisors is an integer number (182814192).

Almost surely, 211134154240 is an apocalyptic number.

11134154240 is a gapful number since it is divisible by the number (10) 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 11134154240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14625135360).

11134154240 is an abundant number, since it is smaller than the sum of its proper divisors (18116116480).

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

11134154240 is a wasteful number, since it uses less digits than its factorization.

11134154240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 11134154240 its reverse (4245143111), we get a palindrome (15379297351).

The spelling of 11134154240 in words is "eleven billion, one hundred thirty-four million, one hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 271 320 352 440 512 542 640 704 880 1084 1280 1355 1408 1459 1760 2168 2560 2710 2816 2918 2981 3520 4336 5420 5632 5836 5962 7040 7295 8672 10840 11672 11924 14080 14590 14905 16049 17344 21680 23344 23848 28160 29180 29810 32098 34688 43360 46688 47696 58360 59620 64196 69376 80245 86720 93376 95392 116720 119240 128392 138752 160490 173440 186752 190784 233440 238480 256784 320980 346880 373504 381568 395389 466880 476960 513568 641960 693760 747008 763136 790778 933760 953920 1027136 1283920 1526272 1581556 1867520 1907840 1976945 2054272 2567840 3163112 3735040 3815680 3953890 4108544 4349279 5135680 6326224 7631360 7907780 8217088 8698558 10271360 12652448 15815560 17397116 20542720 21746395 25304896 31631120 34794232 41085440 43492790 50609792 63262240 69588464 86985580 101219584 126524480 139176928 173971160 202439168 253048960 278353856 347942320 506097920 556707712 695884640 1012195840 1113415424 1391769280 2226830848 2783538560 5567077120 11134154240