Search a number
-
+
4440311241400 = 2352831613165833
BaseRepresentation
bin100000010011101011100…
…1011001001101010111000
3120201111012220222022100201
41000213113023021222320
51040222224134211100
613235503440011544
7635542023544216
oct100472713115270
916644186868321
104440311241400
111462141a34301
125b868b300bb4
13262947b21a28
14114cab16bcb6
157a78186a36a
hex409d72c9ab8

4440311241400 has 96 divisors (see below), whose sum is σ = 10454646328560. Its totient is φ = 1753626967040.

The previous prime is 4440311241341. The next prime is 4440311241403. The reversal of 4440311241400 is 41421130444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4440311241403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26692884 + ... + 26858716.

Almost surely, 24440311241400 is an apocalyptic number.

4440311241400 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 4440311241400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5227323164280).

4440311241400 is an abundant number, since it is smaller than the sum of its proper divisors (6014335087160).

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

4440311241400 is a wasteful number, since it uses less digits than its factorization.

4440311241400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167545 (or 167536 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 4440311241400 its reverse (41421130444), we get a palindrome (4481732371844).

The spelling of 4440311241400 in words is "four trillion, four hundred forty billion, three hundred eleven million, two hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 83 100 166 200 332 415 664 830 1613 1660 2075 3226 3320 4150 6452 8065 8300 12904 16130 16600 32260 40325 64520 80650 133879 161300 165833 267758 322600 331666 535516 663332 669395 829165 1071032 1326664 1338790 1658330 2677580 3316660 3346975 4145825 5355160 6633320 6693950 8291650 13387900 13764139 16583300 26775800 27528278 33166600 55056556 68820695 110113112 137641390 267488629 275282780 344103475 534977258 550565560 688206950 1069954516 1337443145 1376413900 2139909032 2674886290 2752827800 5349772580 6687215725 10699545160 13374431450 22201556207 26748862900 44403112414 53497725800 88806224828 111007781035 177612449656 222015562070 444031124140 555038905175 888062248280 1110077810350 2220155620700 4440311241400