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4400101244 = 2271119839059
BaseRepresentation
bin1000001100100010…
…00011011101111100
3102100122120022011202
410012101003131330
533002411214434
62004341235032
7214016146340
oct40621033574
912318508152
104400101244
111958819210
12a29702a78
1355179a106
142da543620
151ab458a7e
hex10644377c

4400101244 has 96 divisors (see below), whose sum is σ = 10228377600. Its totient is φ = 1604352960.

The previous prime is 4400101243. The next prime is 4400101253. The reversal of 4400101244 is 4421010044.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4400101243) 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, 481187 + ... + 490245.

It is an arithmetic number, because the mean of its divisors is an integer number (106545600).

Almost surely, 24400101244 is an apocalyptic number.

4400101244 is a gapful number since it is divisible by the number (44) 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 4400101244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5114188800).

4400101244 is an abundant number, since it is smaller than the sum of its proper divisors (5828276356).

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

4400101244 is a wasteful number, since it uses less digits than its factorization.

4400101244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9183 (or 9181 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4400101244 is about 66333.2589580823. The cubic root of 4400101244 is about 1638.6551094932.

Adding to 4400101244 its reverse (4421010044), we get a palindrome (8821111288).

The spelling of 4400101244 in words is "four billion, four hundred million, one hundred one thousand, two hundred forty-four".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 76 77 83 133 154 166 209 266 308 332 418 532 581 836 913 1162 1463 1577 1826 2324 2926 3154 3652 5852 6308 6391 9059 11039 12782 17347 18118 22078 25564 34694 36236 44156 63413 69388 99649 121429 126826 172121 199298 242858 253652 344242 398596 485716 688484 697543 751897 1204847 1395086 1503794 1893331 2409694 2790172 3007588 3786662 4819388 5263279 7573324 8270867 10526558 13253317 14286043 16541734 21053116 26506634 28572086 33083468 53013268 57144172 57896069 100002301 115792138 157146473 200004602 231584276 314292946 400009204 628585892 1100025311 2200050622 4400101244