Search a number
-
+
1378248144 = 2437131916607
BaseRepresentation
bin101001000100110…
…0110010111010000
310120001102021000120
41102021212113100
510310312420034
6344432350240
746103626110
oct12211462720
93501367016
101378248144
11647a92259
123256a5380
1318c703b60
14d108d040
1580ee9c49
hex522665d0

1378248144 has 160 divisors (see below), whose sum is σ = 4613038080. Its totient is φ = 344342016.

The previous prime is 1378248143. The next prime is 1378248149. The reversal of 1378248144 is 4418428731.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1378248096 and 1378248105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1378248143) 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 31 ways as a sum of consecutive naturals, for example, 74689 + ... + 91295.

It is an arithmetic number, because the mean of its divisors is an integer number (28831488).

Almost surely, 21378248144 is an apocalyptic number.

1378248144 is a gapful number since it is divisible by the number (14) 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 1378248144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2306519040).

1378248144 is an abundant number, since it is smaller than the sum of its proper divisors (3234789936).

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

1378248144 is a wasteful number, since it uses less digits than its factorization.

1378248144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16657 (or 16651 counting only the distinct ones).

The product of its digits is 172032, while the sum is 42.

The square root of 1378248144 is about 37124.7645649100. The cubic root of 1378248144 is about 1112.8649697460.

The spelling of 1378248144 in words is "one billion, three hundred seventy-eight million, two hundred forty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 19 21 24 26 28 38 39 42 48 52 56 57 76 78 84 91 104 112 114 133 152 156 168 182 208 228 247 266 273 304 312 336 364 399 456 494 532 546 624 728 741 798 912 988 1064 1092 1456 1482 1596 1729 1976 2128 2184 2964 3192 3458 3952 4368 5187 5928 6384 6916 10374 11856 13832 16607 20748 27664 33214 41496 49821 66428 82992 99642 116249 132856 199284 215891 232498 265712 315533 348747 398568 431782 464996 631066 647673 697494 797136 863564 929992 946599 1262132 1295346 1394988 1511237 1727128 1859984 1893198 2208731 2524264 2590692 2789976 3022474 3454256 3786396 4101929 4417462 4533711 5048528 5181384 5579952 6044948 6626193 7572792 8203858 8834924 9067422 10362768 12089896 12305787 13252386 15145584 16407716 17669848 18134844 24179792 24611574 26504772 28713503 32815432 35339696 36269688 49223148 53009544 57427006 65630864 72539376 86140509 98446296 106019088 114854012 172281018 196892592 229708024 344562036 459416048 689124072 1378248144