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4400123000 = 235371348353
BaseRepresentation
bin1000001100100010…
…01000110001111000
3102100122121102000112
410012101020301320
533002412414000
62004341523452
7214016266640
oct40621106170
912318542015
104400123000
111958833599
12a29713588
135517a6ca0
142da54b520
151ab460235
hex106448c78

4400123000 has 128 divisors (see below), whose sum is σ = 12672616320. Its totient is φ = 1392537600.

The previous prime is 4400122949. The next prime is 4400123003. The reversal of 4400123000 is 3210044.

It is a super-2 number, since 2×44001230002 = 38722164830258000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4400123003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66824 + ... + 115176.

It is an arithmetic number, because the mean of its divisors is an integer number (99004815).

Almost surely, 24400123000 is an apocalyptic number.

4400123000 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 4400123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6336308160).

4400123000 is an abundant number, since it is smaller than the sum of its proper divisors (8272493320).

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

4400123000 is a wasteful number, since it uses less digits than its factorization.

4400123000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48394 (or 48380 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 4400123000 is about 66333.4229480132. The cubic root of 4400123000 is about 1638.6578102281.

Adding to 4400123000 its reverse (3210044), we get a palindrome (4403333044).

The spelling of 4400123000 in words is "four billion, four hundred million, one hundred twenty-three thousand".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 125 130 140 175 182 200 250 260 280 325 350 364 455 500 520 650 700 728 875 910 1000 1300 1400 1625 1750 1820 2275 2600 3250 3500 3640 4550 6500 7000 9100 11375 13000 18200 22750 45500 48353 91000 96706 193412 241765 338471 386824 483530 628589 676942 967060 1208825 1257178 1353884 1692355 1934120 2417650 2514356 2707768 3142945 3384710 4400123 4835300 5028712 6044125 6285890 6769420 8461775 8800246 9670600 12088250 12571780 13538840 15714725 16923550 17600492 22000615 24176500 25143560 31429450 33847100 35200984 42308875 44001230 48353000 62858900 67694200 78573625 84617750 88002460 110003075 125717800 157147250 169235500 176004920 220006150 314294500 338471000 440012300 550015375 628589000 880024600 1100030750 2200061500 4400123000