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1150134440 = 2357131072953
BaseRepresentation
bin100010010001101…
…1010100010101000
32222011011212211212
41010203122202220
54323413300230
6310043212252
740333660430
oct10443324250
92864155755
101150134440
11540248034
12281217088
13154385330
14aca6d2c0
156ae8a895
hex448da8a8

1150134440 has 128 divisors (see below), whose sum is σ = 3215842560. Its totient is φ = 360474624.

The previous prime is 1150134437. The next prime is 1150134449. The reversal of 1150134440 is 444310511.

It is a super-2 number, since 2×11501344402 = 2645618460148227200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1150134449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388004 + ... + 390956.

It is an arithmetic number, because the mean of its divisors is an integer number (25123770).

Almost surely, 21150134440 is an apocalyptic number.

1150134440 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 1150134440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607921280).

1150134440 is an abundant number, since it is smaller than the sum of its proper divisors (2065708120).

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

1150134440 is a wasteful number, since it uses less digits than its factorization.

1150134440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3091 (or 3087 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 1150134440 is about 33913.6320673560. The cubic root of 1150134440 is about 1047.7303780688.

Adding to 1150134440 its reverse (444310511), we get a palindrome (1594444951).

The spelling of 1150134440 in words is "one billion, one hundred fifty million, one hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 107 130 140 182 214 260 280 364 428 455 520 535 728 749 856 910 1070 1391 1498 1820 2140 2782 2953 2996 3640 3745 4280 5564 5906 5992 6955 7490 9737 11128 11812 13910 14765 14980 19474 20671 23624 27820 29530 29960 38389 38948 41342 48685 55640 59060 76778 77896 82684 97370 103355 118120 153556 165368 191945 194740 206710 268723 307112 315971 383890 389480 413420 537446 631942 767780 826840 1074892 1263884 1343615 1535560 1579855 2149784 2211797 2527768 2687230 3159710 4107623 4423594 5374460 6319420 8215246 8847188 10748920 11058985 12638840 16430492 17694376 20538115 22117970 28753361 32860984 41076230 44235940 57506722 82152460 88471880 115013444 143766805 164304920 230026888 287533610 575067220 1150134440