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1388022144 = 27337211463
BaseRepresentation
bin101001010111011…
…1000100110000000
310120201210211102120
41102232320212000
510320313202034
6345422044240
746252664535
oct12256704600
93521724376
101388022144
11652558643
12328a19680
131917468a2
14d24b4d8c
1581ccac49
hex52bb8980

1388022144 has 128 divisors (see below), whose sum is σ = 3812743680. Its totient is φ = 447068160.

The previous prime is 1388022133. The next prime is 1388022149. The reversal of 1388022144 is 4412208831.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1388022149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2997657 + ... + 2998119.

It is an arithmetic number, because the mean of its divisors is an integer number (29787060).

Almost surely, 21388022144 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 1388022144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1906371840).

1388022144 is an abundant number, since it is smaller than the sum of its proper divisors (2424721536).

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

1388022144 is a wasteful number, since it uses less digits than its factorization.

1388022144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 1388022144 is about 37256.1692072602. The cubic root of 1388022144 is about 1115.4894441391.

The spelling of 1388022144 in words is "one billion, three hundred eighty-eight million, twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 211 222 296 384 422 444 463 592 633 844 888 926 1184 1266 1389 1688 1776 1852 2368 2532 2778 3376 3552 3704 4736 5064 5556 6752 7104 7408 7807 10128 11112 13504 14208 14816 15614 17131 20256 22224 23421 27008 29632 31228 34262 40512 44448 46842 51393 59264 62456 68524 81024 88896 93684 97693 102786 124912 137048 177792 187368 195386 205572 249824 274096 293079 374736 390772 411144 499648 548192 586158 749472 781544 822288 999296 1096384 1172316 1498944 1563088 1644576 2192768 2344632 2997888 3126176 3289152 3614641 4689264 6252352 6578304 7229282 9378528 10843923 12504704 14458564 18757056 21687846 28917128 37514112 43375692 57834256 86751384 115668512 173502768 231337024 347005536 462674048 694011072 1388022144