[go: up one dir, main page]

Search a number
-
+
4144503540 = 2235531498747
BaseRepresentation
bin1111011100001000…
…0001101011110100
3101200211121121001010
43313002001223310
531441443103130
61523131032220
7204463461462
oct36702015364
911624547033
104144503540
111837511941
12977b9b670
13510847878
142b460b832
15193cbb0b0
hexf7081af4

4144503540 has 96 divisors (see below), whose sum is σ = 11904278400. Its totient is φ = 1076947456.

The previous prime is 4144503527. The next prime is 4144503551. The reversal of 4144503540 is 453054414.

4144503540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4144503498 and 4144503507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 469447 + ... + 478193.

It is an arithmetic number, because the mean of its divisors is an integer number (124002900).

Almost surely, 24144503540 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 4144503540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5952139200).

4144503540 is an abundant number, since it is smaller than the sum of its proper divisors (7759774860).

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

4144503540 is a wasteful number, since it uses less digits than its factorization.

4144503540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8961 (or 8959 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 4144503540 is about 64377.8186955725. The cubic root of 4144503540 is about 1606.2907988446.

Adding to 4144503540 its reverse (453054414), we get a palindrome (4597557954).

The spelling of 4144503540 in words is "four billion, one hundred forty-four million, five hundred three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 149 159 212 265 298 318 447 530 596 636 745 795 894 1060 1490 1590 1788 2235 2980 3180 4470 7897 8747 8940 15794 17494 23691 26241 31588 34988 39485 43735 47382 52482 78970 87470 94764 104964 118455 131205 157940 174940 236910 262410 463591 473820 524820 927182 1303303 1390773 1854364 2317955 2606606 2781546 3909909 4635910 5213212 5563092 6516515 6953865 7819818 9271820 13033030 13907730 15639636 19549545 26066060 27815460 39099090 69075059 78198180 138150118 207225177 276300236 345375295 414450354 690750590 828900708 1036125885 1381501180 2072251770 4144503540