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4244201400 = 233527519419
BaseRepresentation
bin1111110011111001…
…0101111110111000
3101221210012202210110
43330332111332320
532143003421100
61541051544320
7210114055005
oct37476257670
911853182713
104244201400
11188881736a
129a545b0a0
135283b399a
142c39608ac
1519c911250
hexfcf95fb8

4244201400 has 96 divisors (see below), whose sum is σ = 13175942400. Its totient is φ = 1130160000.

The previous prime is 4244201393. The next prime is 4244201441. The reversal of 4244201400 is 41024424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 445891 + ... + 455309.

It is an arithmetic number, because the mean of its divisors is an integer number (137249400).

Almost surely, 24244201400 is an apocalyptic number.

4244201400 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 4244201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6587971200).

4244201400 is an abundant number, since it is smaller than the sum of its proper divisors (8931741000).

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

4244201400 is a wasteful number, since it uses less digits than its factorization.

4244201400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10189 (or 10180 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 4244201400 is about 65147.5356402681. The cubic root of 4244201400 is about 1619.0688903313.

Adding to 4244201400 its reverse (41024424), we get a palindrome (4285225824).

The spelling of 4244201400 in words is "four billion, two hundred forty-four million, two hundred one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 751 1502 2253 3004 3755 4506 6008 7510 9012 9419 11265 15020 18024 18775 18838 22530 28257 30040 37550 37676 45060 47095 56325 56514 75100 75352 90120 94190 112650 113028 141285 150200 188380 225300 226056 235475 282570 376760 450600 470950 565140 706425 941900 1130280 1412850 1883800 2825700 5651400 7073669 14147338 21221007 28294676 35368345 42442014 56589352 70736690 84884028 106105035 141473380 169768056 176841725 212210070 282946760 353683450 424420140 530525175 707366900 848840280 1061050350 1414733800 2122100700 4244201400