Search a number
-
+
4144269376 = 261326192
BaseRepresentation
bin1111011100000100…
…1000100001000000
3101200211011200211101
43313001020201000
531441413110001
61523122024144
7204461465002
oct36701104100
911624150741
104144269376
111837371a15
12977aa8054
13510795100
142b458a372
15193c71a01
hexf7048840

4144269376 has 63 divisors (see below), whose sum is σ = 8919454221. Its totient is φ = 1909649664.

The previous prime is 4144269373. The next prime is 4144269377. The reversal of 4144269376 is 6739624414.

The square root of 4144269376 is 64376.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 613057600 + 3531211776 = 24760^2 + 59424^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4144269373) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 6694795 + ... + 6695413.

Almost surely, 24144269376 is an apocalyptic number.

4144269376 is the 64376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4144269376

4144269376 is an abundant number, since it is smaller than the sum of its proper divisors (4775184845).

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

4144269376 is an frugal number, since it uses more digits than its factorization.

4144269376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 634 counting only the distinct ones).

The product of its digits is 870912, while the sum is 46.

The cubic root of 4144269376 is about 1606.2605465229.

The spelling of 4144269376 in words is "four billion, one hundred forty-four million, two hundred sixty-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 619 676 832 1238 1352 2476 2704 4952 5408 8047 9904 10816 16094 19808 32188 39616 64376 104611 128752 209222 257504 383161 418444 515008 766322 836888 1532644 1673776 3065288 3347552 4981093 6130576 6695104 9962186 12261152 19924372 24522304 39848744 64754209 79697488 129508418 159394976 259016836 318789952 518033672 1036067344 2072134688 4144269376