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1123420144 = 247112194363
BaseRepresentation
bin100001011110110…
…0000011111110000
32220021220122201111
41002331200133300
54300043421034
6303250443104
736560625250
oct10275403760
92807818644
101123420144
11527161200
12274293494
1314b990a62
14a92b7960
1568960364
hex42f607f0

1123420144 has 120 divisors (see below), whose sum is σ = 2878843520. Its totient is φ = 414564480.

The previous prime is 1123420097. The next prime is 1123420153. The reversal of 1123420144 is 4410243211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255307 + ... + 259669.

Almost surely, 21123420144 is an apocalyptic number.

1123420144 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 1123420144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439421760).

1123420144 is an abundant number, since it is smaller than the sum of its proper divisors (1755423376).

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

1123420144 is a wasteful number, since it uses less digits than its factorization.

1123420144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4419 (or 4402 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 1123420144 is about 33517.4602856481. The cubic root of 1123420144 is about 1039.5548341314.

Adding to 1123420144 its reverse (4410243211), we get a palindrome (5533663355).

The spelling of 1123420144 in words is "one billion, one hundred twenty-three million, four hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 38 44 56 76 77 88 112 121 133 152 154 176 209 242 266 304 308 418 484 532 616 836 847 968 1064 1232 1463 1672 1694 1936 2128 2299 2926 3344 3388 4363 4598 5852 6776 8726 9196 11704 13552 16093 17452 18392 23408 30541 32186 34904 36784 47993 61082 64372 69808 82897 95986 122164 128744 165794 191972 244328 257488 331588 335951 383944 488656 527923 580279 663176 671902 767888 911867 1055846 1160558 1326352 1343804 1823734 2111692 2321116 2687608 3647468 3695461 4223384 4642232 5375216 6383069 7294936 7390922 8446768 9284464 10030537 12766138 14589872 14781844 20061074 25532276 29563688 40122148 51064552 59127376 70213759 80244296 102129104 140427518 160488592 280855036 561710072 1123420144