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4324055040 = 21132546919
BaseRepresentation
bin1000000011011101…
…11101100000000000
3102011100110202101200
410001232331200000
532323424230130
61553023301200
7212103601314
oct40156754000
912140422350
104324055040
1119198a8608
12a0814a800
1353bac2566
142d03c9b44
151a4936760
hex101bbd800

4324055040 has 144 divisors (see below), whose sum is σ = 14986717200. Its totient is φ = 1153056768.

The previous prime is 4324055027. The next prime is 4324055041. The reversal of 4324055040 is 405504234.

4324055040 is a `hidden beast` number, since 4 + 32 + 40 + 550 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 4324054995 and 4324055013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4324055041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68701 + ... + 115619.

It is an arithmetic number, because the mean of its divisors is an integer number (104074425).

Almost surely, 24324055040 is an apocalyptic number.

4324055040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4324055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7493358600).

4324055040 is an abundant number, since it is smaller than the sum of its proper divisors (10662662160).

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

4324055040 is a wasteful number, since it uses less digits than its factorization.

4324055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46952 (or 46929 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 4324055040 is about 65757.5473995191. The cubic root of 4324055040 is about 1629.1599972633.

Adding to 4324055040 its reverse (405504234), we get a palindrome (4729559274).

The spelling of 4324055040 in words is "four billion, three hundred twenty-four million, fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2048 2304 2560 2880 3072 3840 4608 5120 5760 6144 7680 9216 10240 11520 15360 18432 23040 30720 46080 46919 92160 93838 140757 187676 234595 281514 375352 422271 469190 563028 703785 750704 844542 938380 1126056 1407570 1501408 1689084 1876760 2111355 2252112 2815140 3002816 3378168 3753520 4222710 4504224 5630280 6005632 6756336 7507040 8445420 9008448 11260560 12011264 13512672 15014080 16890840 18016896 22521120 24022528 27025344 30028160 33781680 36033792 45042240 48045056 54050688 60056320 67563360 72067584 90084480 96090112 108101376 120112640 135126720 144135168 180168960 216202752 240225280 270253440 288270336 360337920 432405504 480450560 540506880 720675840 864811008 1081013760 1441351680 2162027520 4324055040