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1138471125 = 353112931307
BaseRepresentation
bin100001111011011…
…1011000011010101
32221100020022210020
41003312323003111
54312422034000
6304545215353
740132562541
oct10366730325
92840208706
101138471125
11534701230
12279331559
13151b3066c
14ab2b4a21
1569e34ba0
hex43dbb0d5

1138471125 has 128 divisors (see below), whose sum is σ = 2214051840. Its totient is φ = 514080000.

The previous prime is 1138471099. The next prime is 1138471141. The reversal of 1138471125 is 5211748311.

It is not a de Polignac number, because 1138471125 - 211 = 1138469077 is a prime.

It is a super-2 number, since 2×11384711252 = 2592233004917531250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3708222 + ... + 3708528.

It is an arithmetic number, because the mean of its divisors is an integer number (17297280).

Almost surely, 21138471125 is an apocalyptic number.

1138471125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1138471125 is a deficient number, since it is larger than the sum of its proper divisors (1075580715).

1138471125 is a wasteful number, since it uses less digits than its factorization.

1138471125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 386 counting only the distinct ones).

The product of its digits is 6720, while the sum is 33.

The square root of 1138471125 is about 33741.2377514519. The cubic root of 1138471125 is about 1044.1767208293.

The spelling of 1138471125 in words is "one billion, one hundred thirty-eight million, four hundred seventy-one thousand, one hundred twenty-five".

Divisors: 1 3 5 11 15 25 29 31 33 55 75 87 93 125 145 155 165 275 307 319 341 375 435 465 725 775 825 899 921 957 1023 1375 1535 1595 1705 2175 2325 2697 3377 3625 3875 4125 4495 4605 4785 5115 7675 7975 8525 8903 9517 9889 10131 10875 11625 13485 16885 22475 23025 23925 25575 26709 28551 29667 38375 39875 42625 44515 47585 49445 50655 67425 84425 97933 104687 112375 115125 119625 127875 133545 142755 148335 222575 237925 247225 253275 275993 293799 314061 337125 422125 489665 523435 667725 713775 741675 827979 1112875 1189625 1236125 1266375 1379965 1468995 1570305 2448325 2617175 3035923 3338625 3568875 3708375 4139895 6899825 7344975 7851525 9107769 12241625 13085875 15179615 20699475 34499125 36724875 39257625 45538845 75898075 103497375 227694225 379490375 1138471125