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4144045350 = 2352192103743
BaseRepresentation
bin1111011100000001…
…0001110100100110
3101200210202022112010
43313000101310212
531441333422400
61523113135050
7204456542604
oct36700216446
911623668463
104144045350
111837229675
129779ba486
13510717153
142b452c874
15193c2a450
hexf7011d26

4144045350 has 144 divisors (see below), whose sum is σ = 10966655232. Its totient is φ = 1035357120.

The previous prime is 4144045327. The next prime is 4144045351. The reversal of 4144045350 is 535404414.

It is a super-2 number, since 2×41440453502 = 34346223725713245000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144045351) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5577079 + ... + 5577821.

It is an arithmetic number, because the mean of its divisors is an integer number (76157328).

Almost surely, 24144045350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4144045350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5483327616).

4144045350 is an abundant number, since it is smaller than the sum of its proper divisors (6822609882).

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

4144045350 is a wasteful number, since it uses less digits than its factorization.

4144045350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 875 counting only the distinct ones).

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

The square root of 4144045350 is about 64374.2599957467. The cubic root of 4144045350 is about 1606.2316028920.

Adding to 4144045350 its reverse (535404414), we get a palindrome (4679449764).

The spelling of 4144045350 in words is "four billion, one hundred forty-four million, forty-five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 103 114 150 190 206 285 309 361 475 515 570 618 722 743 950 1030 1083 1425 1486 1545 1805 1957 2166 2229 2575 2850 3090 3610 3715 3914 4458 5150 5415 5871 7430 7725 9025 9785 10830 11145 11742 14117 15450 18050 18575 19570 22290 27075 28234 29355 37150 37183 42351 48925 54150 55725 58710 70585 74366 76529 84702 97850 111450 111549 141170 146775 153058 185915 211755 223098 229587 268223 293550 352925 371830 382645 423510 459174 536446 557745 705850 765290 804669 929575 1058775 1115490 1147935 1341115 1454051 1609338 1859150 1913225 2117550 2295870 2682230 2788725 2908102 3826450 4023345 4362153 5577450 5739675 6705575 7270255 8046690 8724306 11479350 13411150 14540510 20116725 21810765 27626969 36351275 40233450 43621530 55253938 72702550 82880907 109053825 138134845 165761814 218107650 276269690 414404535 690674225 828809070 1381348450 2072022675 4144045350