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11140316544 = 27378946567
BaseRepresentation
bin10100110000000001…
…11011110110000000
31001202101110201100110
422120000323312000
5140303410112134
65041235351320
7543032061660
oct123000736600
931671421313
1011140316544
1147a7466785
1221aaa52540
131087015aa6
147797981a0
154530597e9
hex29803bd80

11140316544 has 128 divisors (see below), whose sum is σ = 34199539200. Its totient is φ = 3147116544.

The previous prime is 11140316533. The next prime is 11140316567. The reversal of 11140316544 is 44561304111.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215949 + ... + 262515.

It is an arithmetic number, because the mean of its divisors is an integer number (267183900).

Almost surely, 211140316544 is an apocalyptic number.

11140316544 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 11140316544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17099769600).

11140316544 is an abundant number, since it is smaller than the sum of its proper divisors (23059222656).

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

11140316544 is an equidigital number, since it uses as much as digits as its factorization.

11140316544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46680 (or 46668 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 11140316544 in words is "eleven billion, one hundred forty million, three hundred sixteen thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 89 96 112 128 168 178 192 224 267 336 356 384 448 534 623 672 712 896 1068 1246 1344 1424 1869 2136 2492 2688 2848 3738 4272 4984 5696 7476 8544 9968 11392 14952 17088 19936 29904 34176 39872 46567 59808 79744 93134 119616 139701 186268 239232 279402 325969 372536 558804 651938 745072 977907 1117608 1303876 1490144 1955814 2235216 2607752 2980288 3911628 4144463 4470432 5215504 5960576 7823256 8288926 8940864 10431008 12433389 15646512 16577852 17881728 20862016 24866778 29011241 31293024 33155704 41724032 49733556 58022482 62586048 66311408 87033723 99467112 116044964 125172096 132622816 174067446 198934224 232089928 265245632 348134892 397868448 464179856 530491264 696269784 795736896 928359712 1392539568 1591473792 1856719424 2785079136 3713438848 5570158272 11140316544