Search a number
-
+
4424234411300 = 225211191361155537
BaseRepresentation
bin100000001100001100011…
…1010111010010100100100
3120122221201111120201110212
41000120120322322110210
51034441313002130200
613224244253434552
7634432440002354
oct100303072722444
916587644521425
104424234411300
111456341a92960
125b554319ba58
13261285178202
141141c3d1ab64
157a14024a035
hex40618eba524

4424234411300 has 144 divisors (see below), whose sum is σ = 11032770732480. Its totient is φ = 1523008512000.

The previous prime is 4424234411257. The next prime is 4424234411369. The reversal of 4424234411300 is 31144324244.

It is a super-2 number, since 2×44242344113002 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 28367132 + ... + 28522668.

It is an arithmetic number, because the mean of its divisors is an integer number (76616463420).

Almost surely, 24424234411300 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 4424234411300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5516385366240).

4424234411300 is an abundant number, since it is smaller than the sum of its proper divisors (6608536321180).

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

4424234411300 is a wasteful number, since it uses less digits than its factorization.

4424234411300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156942 (or 156935 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 4424234411300 its reverse (31144324244), we get a palindrome (4455378735544).

The spelling of 4424234411300 in words is "four trillion, four hundred twenty-four billion, two hundred thirty-four million, four hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 275 380 418 475 550 836 950 1045 1100 1361 1900 2090 2722 4180 5225 5444 6805 10450 13610 14971 20900 25859 27220 29942 34025 51718 59884 68050 74855 103436 129295 136100 149710 155537 258590 284449 299420 311074 374275 517180 568898 622148 646475 748550 777685 1137796 1292950 1422245 1497100 1555370 1710907 2585900 2844490 2955203 3110740 3421814 3888425 5688980 5910406 6843628 7111225 7776850 8554535 11820812 14222450 14776015 15553700 17109070 28444900 29552030 32507233 34218140 42772675 59104060 65014466 73880075 85545350 130028932 147760150 162536165 171090700 211685857 295520300 325072330 423371714 650144660 812680825 846743428 1058429285 1625361650 2116858570 2328544427 3250723300 4022031283 4233717140 4657088854 5292146425 8044062566 9314177708 10584292850 11642722135 16088125132 20110156415 21168585700 23285444270 40220312830 44242344113 46570888540 58213610675 80440625660 88484688226 100550782075 116427221350 176969376452 201101564150 221211720565 232854442700 402203128300 442423441130 884846882260 1106058602825 2212117205650 4424234411300