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1441101553000 = 235329182327259
BaseRepresentation
bin10100111110001000010…
…110001001110101101000
312002202201211211000121121
4110332020112021311220
5142102333444144000
63022011035345024
7206054561042434
oct24761026116550
95082654730547
101441101553000
1150619329140a
121b3365bb2174
13a5b83c61c35
144da6d1db9c4
15277466d7b1a
hex14f88589d68

1441101553000 has 128 divisors (see below), whose sum is σ = 3490501248000. Its totient is φ = 556237651200.

The previous prime is 1441101552923. The next prime is 1441101553007. The reversal of 1441101553000 is 3551011441.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1441101553007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52853371 + ... + 52880629.

It is an arithmetic number, because the mean of its divisors is an integer number (27269541000).

Almost surely, 21441101553000 is an apocalyptic number.

1441101553000 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 1441101553000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745250624000).

1441101553000 is an abundant number, since it is smaller than the sum of its proper divisors (2049399695000).

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

1441101553000 is a wasteful number, since it uses less digits than its factorization.

1441101553000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29132 (or 29118 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 1441101553000 its reverse (3551011441), we get a palindrome (1444652564441).

The spelling of 1441101553000 in words is "one trillion, four hundred forty-one billion, one hundred one million, five hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 725 1000 1160 1450 1823 2900 3625 3646 5800 7250 7292 9115 14500 14584 18230 27259 29000 36460 45575 52867 54518 72920 91150 105734 109036 136295 182300 211468 218072 227875 264335 272590 364600 422936 455750 528670 545180 681475 790511 911500 1057340 1090360 1321675 1362950 1581022 1823000 2114680 2643350 2725900 3162044 3407375 3952555 5286700 5451800 6324088 6608375 6814750 7905110 10573400 13216750 13629500 15810220 19762775 26433500 27259000 31620440 39525550 49693157 52867000 79051100 98813875 99386314 158102200 197627750 198772628 248465785 395255500 397545256 496931570 790511000 993863140 1242328925 1441101553 1987726280 2484657850 2882203106 4969315700 5764406212 6211644625 7205507765 9938631400 11528812424 12423289250 14411015530 24846578500 28822031060 36027538825 49693157000 57644062120 72055077650 144110155300 180137694125 288220310600 360275388250 720550776500 1441101553000