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4054112300 = 22527107113479
BaseRepresentation
bin1111000110100100…
…1101100000101100
3101110112112020120102
43301221031200230
531300323043200
61510141410232
7202315246250
oct36151154054
911415466512
104054112300
1117a0493637
12951869978
134c7bb9824
142a65dc260
1518adb36d5
hexf1a4d82c

4054112300 has 144 divisors (see below), whose sum is σ = 10259343360. Its totient is φ = 1361955840.

The previous prime is 4054112291. The next prime is 4054112303. The reversal of 4054112300 is 32114504.

It is a super-2 number, since 2×40541123002 = 32871653082022580000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4054112303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8463461 + ... + 8463939.

It is an arithmetic number, because the mean of its divisors is an integer number (71245440).

Almost surely, 24054112300 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 4054112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5129671680).

4054112300 is an abundant number, since it is smaller than the sum of its proper divisors (6205231060).

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

4054112300 is a wasteful number, since it uses less digits than its factorization.

4054112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 4054112300 is about 63671.9113895602. The cubic root of 4054112300 is about 1594.5271738484.

Adding to 4054112300 its reverse (32114504), we get a palindrome (4086226804).

The spelling of 4054112300 in words is "four billion, fifty-four million, one hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 107 113 140 175 214 226 350 428 452 479 535 565 700 749 791 958 1070 1130 1498 1582 1916 2140 2260 2395 2675 2825 2996 3164 3353 3745 3955 4790 5350 5650 6706 7490 7910 9580 10700 11300 11975 12091 13412 14980 15820 16765 18725 19775 23950 24182 33530 37450 39550 47900 48364 51253 54127 60455 67060 74900 79100 83825 84637 102506 108254 120910 167650 169274 205012 216508 241820 256265 270635 302275 335300 338548 358771 378889 423185 512530 541270 604550 717542 757778 846370 1025060 1082540 1209100 1281325 1353175 1435084 1515556 1692740 1793855 1894445 2115925 2562650 2706350 3587710 3788890 4231850 5125300 5412700 5791589 7175420 7577780 8463700 8969275 9472225 11583178 17938550 18944450 23166356 28957945 35877100 37888900 40541123 57915890 81082246 115831780 144789725 162164492 202705615 289579450 405411230 579158900 810822460 1013528075 2027056150 4054112300