Search a number
-
+
4441212300 = 22352711091907
BaseRepresentation
bin1000010001011011…
…11000010110001100
3102110111220221221110
410020231320112030
533043422243200
62012410332020
7215025452550
oct41055702614
912414827843
104441212300
111979a48598
12a3b42a010
1355a162595
14301ba5860
151aed79b50
hex108b7858c

4441212300 has 144 divisors (see below), whose sum is σ = 14706558720. Its totient is φ = 1013687040.

The previous prime is 4441212289. The next prime is 4441212319. The reversal of 4441212300 is 32121444.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2327947 + ... + 2329853.

It is an arithmetic number, because the mean of its divisors is an integer number (102128880).

Almost surely, 24441212300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4441212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7353279360).

4441212300 is an abundant number, since it is smaller than the sum of its proper divisors (10265346420).

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

4441212300 is a wasteful number, since it uses less digits than its factorization.

4441212300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3040 (or 3033 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4441212300 is about 66642.4211745042. The cubic root of 4441212300 is about 1643.7427285505.

Adding to 4441212300 its reverse (32121444), we get a palindrome (4473333744).

The spelling of 4441212300 in words is "four billion, four hundred forty-one million, two hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 1109 1907 2100 2218 3327 3814 4436 5545 5721 6654 7628 7763 9535 11090 11442 13308 13349 15526 16635 19070 22180 22884 23289 26698 27725 28605 31052 33270 38140 38815 40047 46578 47675 53396 55450 57210 66540 66745 77630 80094 83175 93156 95350 110900 114420 116445 133490 143025 155260 160188 166350 190700 194075 200235 232890 266980 286050 332700 333725 388150 400470 465780 572100 582225 667450 776300 800940 1001175 1164450 1334900 2002350 2114863 2328900 4004700 4229726 6344589 8459452 10574315 12689178 14804041 21148630 25378356 29608082 31722945 42297260 44412123 52871575 59216164 63445890 74020205 88824246 105743150 126891780 148040410 158614725 177648492 211486300 222060615 296080820 317229450 370101025 444121230 634458900 740202050 888242460 1110303075 1480404100 2220606150 4441212300