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4401213000 = 233531917681
BaseRepresentation
bin1000001100101010…
…10010111001001000
3102100201122210012220
410012111102321020
533003202304000
62004421134040
7214031456532
oct40625227110
912321583186
104401213000
111959408518
12a29b5a320
13551a99162
142da752852
151ab5c81a0
hex106552e48

4401213000 has 128 divisors (see below), whose sum is σ = 13805475840. Its totient is φ = 1167360000.

The previous prime is 4401212993. The next prime is 4401213053. The reversal of 4401213000 is 3121044.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 569160 + ... + 576840.

It is an arithmetic number, because the mean of its divisors is an integer number (107855280).

Almost surely, 24401213000 is an apocalyptic number.

4401213000 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 4401213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6902737920).

4401213000 is an abundant number, since it is smaller than the sum of its proper divisors (9404262840).

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

4401213000 is a wasteful number, since it uses less digits than its factorization.

4401213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7896 (or 7882 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4401213000 is about 66341.6385085566. The cubic root of 4401213000 is about 1638.7931086843.

Adding to 4401213000 its reverse (3121044), we get a palindrome (4404334044).

The spelling of 4401213000 in words is "four billion, four hundred one million, two hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 191 200 250 300 375 382 500 573 600 750 764 955 1000 1146 1500 1528 1910 2292 2865 3000 3820 4584 4775 5730 7640 7681 9550 11460 14325 15362 19100 22920 23043 23875 28650 30724 38200 38405 46086 47750 57300 61448 71625 76810 92172 95500 114600 115215 143250 153620 184344 191000 192025 230430 286500 307240 384050 460860 573000 576075 768100 921720 960125 1152150 1467071 1536200 1920250 2304300 2880375 2934142 3840500 4401213 4608600 5760750 5868284 7335355 7681000 8802426 11521500 11736568 14670710 17604852 22006065 23043000 29341420 35209704 36676775 44012130 58682840 73353550 88024260 110030325 146707100 176048520 183383875 220060650 293414200 366767750 440121300 550151625 733535500 880242600 1100303250 1467071000 2200606500 4401213000