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11440136448 = 283213381949
BaseRepresentation
bin10101010011110001…
…01010000100000000
31002112021122010221100
422221320222010000
5141412133331243
65131105454400
7553332361326
oct125170520400
932467563840
1011440136448
114940727924
122273341400
13110417c910
147a7521d16
1546e5300d3
hex2a9e2a100

11440136448 has 108 divisors (see below), whose sum is σ = 35522113900. Its totient is φ = 3520032768.

The previous prime is 11440136401. The next prime is 11440136453. The reversal of 11440136448 is 84463104411.

It is a happy number.

11440136448 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 0 + 1 + 3 + 644 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7834374144 + 3605762304 = 88512^2 + 60048^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 161023 + ... + 220926.

Almost surely, 211440136448 is an apocalyptic number.

11440136448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11440136448 is an abundant number, since it is smaller than the sum of its proper divisors (24081977452).

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

11440136448 is a wasteful number, since it uses less digits than its factorization.

11440136448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381984 (or 381967 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 11440136448 in words is "eleven billion, four hundred forty million, one hundred thirty-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1872 2304 2496 3328 3744 4992 7488 9984 14976 29952 381949 763898 1145847 1527796 2291694 3055592 3437541 4583388 4965337 6111184 6875082 9166776 9930674 12222368 13750164 14896011 18333552 19861348 24444736 27500328 29792022 36667104 39722696 44688033 48889472 55000656 59584044 73334208 79445392 89376066 97778944 110001312 119168088 146668416 158890784 178752132 220002624 238336176 293336832 317781568 357504264 440005248 476672352 635563136 715008528 880010496 953344704 1271126272 1430017056 1906689408 2860034112 3813378816 5720068224 11440136448