Search a number
-
+
44300014004200 = 23522329332084063
BaseRepresentation
bin10100001001010011001101…
…00110010010011111101000
312210212001002010220020010211
422010221212212102133220
521301302412041113300
6234115051231350504
712221366434030003
oct1204514646223750
9183761063806124
1044300014004200
111312a592008559
124b75781082434
131b946200860b6
14ad21bc76453a
1551c5297004ba
hex284a669927e8

44300014004200 has 96 divisors (see below), whose sum is σ = 111181744627200. Its totient is φ = 16365102575360.

The previous prime is 44300014004173. The next prime is 44300014004201. The reversal of 44300014004200 is 240041000344.

It is a super-2 number, since 2×443000140042002 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (44300014004201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165908632 + ... + 166175431.

It is an arithmetic number, because the mean of its divisors is an integer number (1158143173200).

Almost surely, 244300014004200 is an apocalyptic number.

44300014004200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44300014004200 is an abundant number, since it is smaller than the sum of its proper divisors (66881730623000).

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

44300014004200 is a wasteful number, since it uses less digits than its factorization.

44300014004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332084131 (or 332084122 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 44300014004200 its reverse (240041000344), we get a palindrome (44540055004544).

The spelling of 44300014004200 in words is "forty-four trillion, three hundred billion, fourteen million, four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 29 40 46 50 58 92 100 115 116 145 184 200 230 232 290 460 575 580 667 725 920 1150 1160 1334 1450 2300 2668 2900 3335 4600 5336 5800 6670 13340 16675 26680 33350 66700 133400 332084063 664168126 1328336252 1660420315 2656672504 3320840630 6641681260 7637933449 8302101575 9630437827 13283362520 15275866898 16604203150 19260875654 30551733796 33208406300 38189667245 38521751308 48152189135 61103467592 66416812600 76379334490 77043502616 96304378270 152758668980 190948336225 192608756540 221500070021 240760945675 305517337960 381896672450 385217513080 443000140042 481521891350 763793344900 886000280084 963043782700 1107500350105 1527586689800 1772000560168 1926087565400 2215000700210 4430001400420 5537501750525 8860002800840 11075003501050 22150007002100 44300014004200