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1145154440 = 235373971949
BaseRepresentation
bin100010001000001…
…1010101110001000
32221210210212120102
41010100122232020
54321124420230
6305344344532
740243436453
oct10420325610
92853725512
101145154440
11538456531
1227b615148
131533306a1
14ac13449a
156a805045
hex4441ab88

1145154440 has 64 divisors (see below), whose sum is σ = 2654262000. Its totient is φ = 444331008.

The previous prime is 1145154427. The next prime is 1145154449. The reversal of 1145154440 is 444515411.

It can be written as a sum of positive squares in 8 ways, for example, as 989354116 + 155800324 = 31454^2 + 12482^2 .

It is a super-2 number, since 2×11451544402 = 2622757382903427200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1145154449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 586586 + ... + 588534.

Almost surely, 21145154440 is an apocalyptic number.

1145154440 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 1145154440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327131000).

1145154440 is an abundant number, since it is smaller than the sum of its proper divisors (1509107560).

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

1145154440 is a wasteful number, since it uses less digits than its factorization.

1145154440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2394 (or 2390 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

The square root of 1145154440 is about 33840.1306144051. The cubic root of 1145154440 is about 1046.2159909905.

Adding to 1145154440 its reverse (444515411), we get a palindrome (1589669851).

The spelling of 1145154440 in words is "one billion, one hundred forty-five million, one hundred fifty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 397 740 794 1480 1588 1949 1985 3176 3898 3970 7796 7940 9745 14689 15592 15880 19490 29378 38980 58756 72113 73445 77960 117512 144226 146890 288452 293780 360565 576904 587560 721130 773753 1442260 1547506 2884520 3095012 3868765 6190024 7737530 15475060 28628861 30950120 57257722 114515444 143144305 229030888 286288610 572577220 1145154440