Search a number
-
+
1388314512 = 243313435749
BaseRepresentation
bin101001010111111…
…1111111110010000
310120202100200111000
41102233333332100
510320402031022
6345432222000
746255323114
oct12257777620
93522320430
101388314512
11652738272
12328b3a900
131918199a0
14d254d744
1581d376ac
hex52bfff90

1388314512 has 160 divisors (see below), whose sum is σ = 4392080000. Its totient is φ = 417166848.

The previous prime is 1388314493. The next prime is 1388314517. The reversal of 1388314512 is 2154138831.

1388314512 is a `hidden beast` number, since 138 + 8 + 3 + 1 + 4 + 512 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1388314517) 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, 238614 + ... + 244362.

It is an arithmetic number, because the mean of its divisors is an integer number (27450500).

Almost surely, 21388314512 is an apocalyptic number.

1388314512 is a gapful number since it is divisible by the number (12) 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 1388314512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2196040000).

1388314512 is an abundant number, since it is smaller than the sum of its proper divisors (3003765488).

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

1388314512 is a wasteful number, since it uses less digits than its factorization.

1388314512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5822 (or 5810 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 1388314512 is about 37260.0927535077. The cubic root of 1388314512 is about 1115.5677595376.

The spelling of 1388314512 in words is "one billion, three hundred eighty-eight million, three hundred fourteen thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 43 48 52 54 72 78 86 104 108 117 129 144 156 172 208 216 234 258 312 344 351 387 432 468 516 559 624 688 702 774 936 1032 1118 1161 1404 1548 1677 1872 2064 2236 2322 2808 3096 3354 4472 4644 5031 5616 5749 6192 6708 8944 9288 10062 11498 13416 15093 17247 18576 20124 22996 26832 30186 34494 40248 45992 51741 60372 68988 74737 80496 91984 103482 120744 137976 149474 155223 206964 224211 241488 247207 275952 298948 310446 413928 448422 494414 597896 620892 672633 741621 827856 896844 988828 1195792 1241784 1345266 1483242 1793688 1977656 2017899 2224863 2483568 2690532 2966484 3213691 3587376 3955312 4035798 4449726 5381064 5932968 6427382 6674589 8071596 8899452 9641073 10762128 11865936 12854764 13349178 16143192 17798904 19282146 25709528 26698356 28923219 32286384 35597808 38564292 51419056 53396712 57846438 77128584 86769657 106793424 115692876 154257168 173539314 231385752 347078628 462771504 694157256 1388314512