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4421213120 = 265171934211
BaseRepresentation
bin1000001111000011…
…00101101111000000
3102102010021220020002
410013201211233000
533023312304440
62010413535132
7214363456112
oct40741455700
912363256202
104421213120
111969728945
12a347a44a8
13555c7c64c
142dd27b3b2
151ad229115
hex107865bc0

4421213120 has 112 divisors (see below), whose sum is σ = 11207727648. Its totient is φ = 1655439360.

The previous prime is 4421213089. The next prime is 4421213123. The reversal of 4421213120 is 213121244.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4421213092 and 4421213101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4421213123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1047815 + ... + 1052025.

Almost surely, 24421213120 is an apocalyptic number.

4421213120 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 4421213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5603863824).

4421213120 is an abundant number, since it is smaller than the sum of its proper divisors (6786514528).

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

4421213120 is a wasteful number, since it uses less digits than its factorization.

4421213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4438 (or 4428 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4421213120 is about 66492.2034527357. The cubic root of 4421213120 is about 1641.2717084462.

Adding to 4421213120 its reverse (213121244), we get a palindrome (4634334364).

The spelling of 4421213120 in words is "four billion, four hundred twenty-one million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 193 272 320 340 386 544 680 772 965 1088 1360 1544 1930 2720 3088 3281 3860 4211 5440 6176 6562 7720 8422 12352 13124 15440 16405 16844 21055 26248 30880 32810 33688 42110 52496 61760 65620 67376 71587 84220 104992 131240 134752 143174 168440 209984 262480 269504 286348 336880 357935 524960 572696 673760 715870 812723 1049920 1145392 1347520 1431740 1625446 2290784 2863480 3250892 4063615 4581568 5726960 6501784 8127230 11453920 13003568 13816291 16254460 22907840 26007136 27632582 32508920 52014272 55265164 65017840 69081455 110530328 130035680 138162910 221060656 260071360 276325820 442121312 552651640 884242624 1105303280 2210606560 4421213120