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4223432414320 = 245773310289009
BaseRepresentation
bin111101011101011000001…
…100000101010001110000
3112221202102021012100221121
4331131120030011101300
51023144042144224240
612552115034032024
7614063410123630
oct75353014052160
915852367170847
104223432414320
111389169547539
12582642b78614
13248363957212
141085b55106c0
1574cdb6a704a
hex3d758305470

4223432414320 has 80 divisors (see below), whose sum is σ = 11237574409920. Its totient is φ = 1446058340352.

The previous prime is 4223432414287. The next prime is 4223432414321. The reversal of 4223432414320 is 234142343224.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4223432414321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4734025 + ... + 5554984.

It is an arithmetic number, because the mean of its divisors is an integer number (140469680124).

Almost surely, 24223432414320 is an apocalyptic number.

4223432414320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4223432414320 is an abundant number, since it is smaller than the sum of its proper divisors (7014141995600).

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

4223432414320 is a wasteful number, since it uses less digits than its factorization.

4223432414320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10289762 (or 10289756 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 4223432414320 its reverse (234142343224), we get a palindrome (4457574757544).

The spelling of 4223432414320 in words is "four trillion, two hundred twenty-three billion, four hundred thirty-two million, four hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 733 1466 2932 3665 5131 5864 7330 10262 11728 14660 20524 25655 29320 41048 51310 58640 82096 102620 205240 410480 10289009 20578018 41156036 51445045 72023063 82312072 102890090 144046126 164624144 205780180 288092252 360115315 411560360 576184504 720230630 823120720 1152369008 1440461260 2880922520 5761845040 7541843597 15083687194 30167374388 37709217985 52792905179 60334748776 75418435970 105585810358 120669497552 150836871940 211171620716 263964525895 301673743880 422343241432 527929051790 603347487760 844686482864 1055858103580 2111716207160 4223432414320