Search a number
-
+
1241350144 = 21543881
BaseRepresentation
bin100100111111101…
…1000000000000000
310012111211010021021
41021333120000000
510020241201034
6323102235224
742522205426
oct11177300000
93174733237
101241350144
11587789811
122a7885b14
1316a241718
14bac15116
1573ea76b4
hex49fd8000

1241350144 has 64 divisors (see below), whose sum is σ = 2543282280. Its totient is φ = 605552640.

The previous prime is 1241350063. The next prime is 1241350169. The reversal of 1241350144 is 4410531421.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1408584 + ... + 1409464.

Almost surely, 21241350144 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 1241350144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271641140).

1241350144 is an abundant number, since it is smaller than the sum of its proper divisors (1301932136).

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

1241350144 is an frugal number, since it uses more digits than its factorization.

1241350144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 1241350144 is about 35232.7992643219. The cubic root of 1241350144 is about 1074.7268515314.

Adding to 1241350144 its reverse (4410531421), we get a palindrome (5651881565).

The spelling of 1241350144 in words is "one billion, two hundred forty-one million, three hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 512 688 881 1024 1376 1762 2048 2752 3524 4096 5504 7048 8192 11008 14096 16384 22016 28192 32768 37883 44032 56384 75766 88064 112768 151532 176128 225536 303064 352256 451072 606128 704512 902144 1212256 1409024 1804288 2424512 3608576 4849024 7217152 9698048 14434304 19396096 28868608 38792192 77584384 155168768 310337536 620675072 1241350144