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1441013400 = 2332521814423
BaseRepresentation
bin101010111100100…
…0001111010011000
310201102112001202200
41111321001322120
510422344412100
6354553530200
750465261151
oct12571017230
93642461680
101441013400
1167a461772
12342713960
1319c70b668
14d954a928
1586796e00
hex55e41e98

1441013400 has 144 divisors (see below), whose sum is σ = 4867240560. Its totient is φ = 382060800.

The previous prime is 1441013383. The next prime is 1441013401. The reversal of 1441013400 is 43101441.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1441013401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 323589 + ... + 328011.

Almost surely, 21441013400 is an apocalyptic number.

1441013400 is a gapful number since it is divisible by the number (10) 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 1441013400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2433620280).

1441013400 is an abundant number, since it is smaller than the sum of its proper divisors (3426227160).

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

1441013400 is a wasteful number, since it uses less digits than its factorization.

1441013400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4626 (or 4614 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1441013400 is about 37960.6822910232. The cubic root of 1441013400 is about 1129.5080741821.

Adding to 1441013400 its reverse (43101441), we get a palindrome (1484114841).

The spelling of 1441013400 in words is "one billion, four hundred forty-one million, thirteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 181 200 225 300 360 362 450 543 600 724 900 905 1086 1448 1629 1800 1810 2172 2715 3258 3620 4344 4423 4525 5430 6516 7240 8145 8846 9050 10860 13032 13269 13575 16290 17692 18100 21720 22115 26538 27150 32580 35384 36200 39807 40725 44230 53076 54300 65160 66345 79614 81450 88460 106152 108600 110575 132690 159228 162900 176920 199035 221150 265380 318456 325800 331725 398070 442300 530760 663450 796140 800563 884600 995175 1326900 1592280 1601126 1990350 2401689 2653800 3202252 3980700 4002815 4803378 6404504 7205067 7961400 8005630 9606756 12008445 14410134 16011260 19213512 20014075 24016890 28820268 32022520 36025335 40028150 48033780 57640536 60042225 72050670 80056300 96067560 120084450 144101340 160112600 180126675 240168900 288202680 360253350 480337800 720506700 1441013400