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4400121213224 = 2311378329162251
BaseRepresentation
bin100000000000111101110…
…1010010111000100101000
3120120122111000100100012122
41000001323222113010220
51034042422012310344
613205215432130412
7632620051130342
oct100017352270450
916518430310178
104400121213224
111447098794290
125b0933836a08
1325bc11596c79
14112d77656292
15796cd348aee
hex4007ba97128

4400121213224 has 64 divisors (see below), whose sum is σ = 9244664654400. Its totient is φ = 1945753920000.

The previous prime is 4400121213197. The next prime is 4400121213269. The reversal of 4400121213224 is 4223121210044.

It is a super-2 number, since 2×44001212132242 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4400121213193 and 4400121213202.

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 15 ways as a sum of consecutive naturals, for example, 27038099 + ... + 27200349.

It is an arithmetic number, because the mean of its divisors is an integer number (144447885225).

Almost surely, 24400121213224 is an apocalyptic number.

4400121213224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4400121213224 is an abundant number, since it is smaller than the sum of its proper divisors (4844543441176).

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

4400121213224 is a wasteful number, since it uses less digits than its factorization.

4400121213224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170634 (or 170630 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 4400121213224 its reverse (4223121210044), we get a palindrome (8623242423268).

The spelling of 4400121213224 in words is "four trillion, four hundred billion, one hundred twenty-one million, two hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 22 37 44 74 88 148 296 407 814 1628 3256 8329 16658 33316 66632 91619 162251 183238 308173 324502 366476 616346 649004 732952 1232692 1298008 1784761 2465384 3389903 3569522 6003287 6779806 7139044 12006574 13559612 14278088 24013148 27119224 48026296 66036157 132072314 264144628 528289256 1351388579 2702777158 5405554316 10811108632 14865274369 29730548738 50001377423 59461097476 100002754846 118922194952 200005509692 400011019384 550015151653 1100030303306 2200060606612 4400121213224