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4223401413400 = 2352134271380329
BaseRepresentation
bin111101011101010110010…
…101110100101100011000
3112221202100002212100200101
4331131112111310230120
51023144011230212100
612552112005345144
7614062552456141
oct75352625645430
915852302770611
104223401413400
111389152aa3044
125826347081b4
1324835a3c1790
141085b1360ac8
1574cd8ad186a
hex3d756574b18

4223401413400 has 96 divisors (see below), whose sum is σ = 10577251137600. Its totient is φ = 1559040537600.

The previous prime is 4223401413383. The next prime is 4223401413431. The reversal of 4223401413400 is 43141043224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10914436 + ... + 11294764.

It is an arithmetic number, because the mean of its divisors is an integer number (110179699350).

Almost surely, 24223401413400 is an apocalyptic number.

4223401413400 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 4223401413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5288625568800).

4223401413400 is an abundant number, since it is smaller than the sum of its proper divisors (6353849724200).

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

4223401413400 is a wasteful number, since it uses less digits than its factorization.

4223401413400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384629 (or 384620 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 4223401413400 its reverse (43141043224), we get a palindrome (4266542456624).

The spelling of 4223401413400 in words is "four trillion, two hundred twenty-three billion, four hundred one million, four hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 4271 8542 17084 21355 34168 42710 55523 85420 106775 111046 170840 213550 222092 277615 380329 427100 444184 555230 760658 854200 1110460 1388075 1521316 1901645 2220920 2776150 3042632 3803290 4944277 5552300 7606580 9508225 9888554 11104600 15213160 19016450 19777108 24721385 38032900 39554216 49442770 76065800 98885540 123606925 197771080 247213850 494427700 988855400 1624385159 3248770318 6497540636 8121925795 12995081272 16243851590 21117007067 32487703180 40609628975 42234014134 64975406360 81219257950 84468028268 105585035335 162438515900 168936056536 211170070670 324877031800 422340141340 527925176675 844680282680 1055850353350 2111700706700 4223401413400