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1149181344 = 25341273491
BaseRepresentation
bin100010001111111…
…0001110110100000
32222002101110110000
41010133301312200
54323142300334
6310010540000
740322610633
oct10437616640
92862343400
101149181344
1153a756a53
12280a37600
1315411057c
14ac8a1c1a
156ad4d299
hex447f1da0

1149181344 has 120 divisors (see below), whose sum is σ = 3407298048. Its totient is φ = 379935360.

The previous prime is 1149181331. The next prime is 1149181373. The reversal of 1149181344 is 4431819411.

It is a super-2 number, since 2×11491813442 = 2641235522795292672, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1149181299 and 1149181308.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 327439 + ... + 330929.

Almost surely, 21149181344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1149181344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703649024).

1149181344 is an abundant number, since it is smaller than the sum of its proper divisors (2258116704).

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

1149181344 is a wasteful number, since it uses less digits than its factorization.

1149181344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3640 (or 3623 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 1149181344 is about 33899.5773424979. The cubic root of 1149181344 is about 1047.4408862314.

The spelling of 1149181344 in words is "one billion, one hundred forty-nine million, one hundred eighty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 127 144 162 216 254 288 324 381 432 508 648 762 864 1016 1143 1296 1524 2032 2286 2592 3048 3429 3491 4064 4572 6096 6858 6982 9144 10287 10473 12192 13716 13964 18288 20574 20946 27432 27928 31419 36576 41148 41892 54864 55856 62838 82296 83784 94257 109728 111712 125676 164592 167568 188514 251352 282771 329184 335136 377028 443357 502704 565542 754056 886714 1005408 1131084 1330071 1508112 1773428 2262168 2660142 3016224 3546856 3990213 4524336 5320284 7093712 7980426 9048672 10640568 11970639 14187424 15960852 21281136 23941278 31921704 35911917 42562272 47882556 63843408 71823834 95765112 127686816 143647668 191530224 287295336 383060448 574590672 1149181344