Search a number
-
+
4174264944 = 243271557733
BaseRepresentation
bin1111100011001110…
…0011101001110000
3101202220121122000100
43320303203221300
532022102434234
61530112552400
7205304444433
oct37063435160
911686548010
104174264944
11185229a043
12985b52700
13516a68075
142b855781a
151966e9399
hexf8ce3a70

4174264944 has 120 divisors (see below), whose sum is σ = 11884141152. Its totient is φ = 1367493120.

The previous prime is 4174264943. The next prime is 4174264951. The reversal of 4174264944 is 4494624714.

It is a self number, because there is not a number n which added to its sum of digits gives 4174264944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4174264943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5694402 + ... + 5695134.

Almost surely, 24174264944 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 4174264944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5942070576).

4174264944 is an abundant number, since it is smaller than the sum of its proper divisors (7709876208).

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

4174264944 is a wasteful number, since it uses less digits than its factorization.

4174264944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1366 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 4174264944 is about 64608.5516321176. The cubic root of 4174264944 is about 1610.1265211838.

The spelling of 4174264944 in words is "four billion, one hundred seventy-four million, two hundred sixty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 557 568 639 733 852 1114 1136 1278 1466 1671 1704 2199 2228 2556 2932 3342 3408 4398 4456 5013 5112 5864 6597 6684 8796 8912 10026 10224 11728 13194 13368 17592 20052 26388 26736 35184 39547 40104 52043 52776 79094 80208 104086 105552 118641 156129 158188 208172 237282 312258 316376 355923 408281 416344 468387 474564 624516 632752 711846 816562 832688 936774 949128 1224843 1249032 1423692 1633124 1873548 1898256 2449686 2498064 2847384 3266248 3674529 3747096 4899372 5694768 6532496 7349058 7494192 9798744 14698116 19597488 28987951 29396232 57975902 58792464 86963853 115951804 173927706 231903608 260891559 347855412 463807216 521783118 695710824 1043566236 1391421648 2087132472 4174264944