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11134141440 = 21035724879
BaseRepresentation
bin10100101111010010…
…11000010000000000
31001201221211222200220
422113221120100000
5140300320011230
65040455143040
7542625432522
oct122751302000
931657758626
1011134141440
1147a3a29294
1221a8974a80
131085963196
14778a2ba12
15452739d10
hex297a58400

11134141440 has 88 divisors (see below), whose sum is σ = 35611904640. Its totient is φ = 2969100288.

The previous prime is 11134141423. The next prime is 11134141463. The reversal of 11134141440 is 4414143111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11134141440.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 347080 + ... + 377799.

Almost surely, 211134141440 is an apocalyptic number.

11134141440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11134141440 is an abundant number, since it is smaller than the sum of its proper divisors (24477763200).

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

11134141440 is an equidigital number, since it uses as much as digits as its factorization.

11134141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724907 (or 724889 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 11134141440 its reverse (4414143111), we get a palindrome (15548284551).

The spelling of 11134141440 in words is "eleven billion, one hundred thirty-four million, one hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2560 3072 3840 5120 7680 15360 724879 1449758 2174637 2899516 3624395 4349274 5799032 7248790 8698548 10873185 11598064 14497580 17397096 21746370 23196128 28995160 34794192 43492740 46392256 57990320 69588384 86985480 92784512 115980640 139176768 173970960 185569024 231961280 278353536 347941920 371138048 463922560 556707072 695883840 742276096 927845120 1113414144 1391767680 1855690240 2226828288 2783535360 3711380480 5567070720 11134141440