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144341350000 = 245510192833
BaseRepresentation
bin1000011001101101101…
…0100011011001110000
3111210120101201022100221
42012123122203121300
54331102341200000
6150150504022424
713266625142251
oct2063332433160
9453511638327
10144341350000
115623aa24701
1223b83761a14
13107c412b653
146db403ab28
153b4be2261a
hex219b6a3670

144341350000 has 120 divisors (see below), whose sum is σ = 350020878480. Its totient is φ = 57659520000.

The previous prime is 144341349961. The next prime is 144341350007. The reversal of 144341350000 is 53143441.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144341350007) 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, 50948584 + ... + 50951416.

It is an arithmetic number, because the mean of its divisors is an integer number (2916840654).

Almost surely, 2144341350000 is an apocalyptic number.

144341350000 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 144341350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175010439240).

144341350000 is an abundant number, since it is smaller than the sum of its proper divisors (205679528480).

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

144341350000 is an equidigital number, since it uses as much as digits as its factorization.

144341350000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3885 (or 3859 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 144341350000 its reverse (53143441), we get a palindrome (144394493441).

The spelling of 144341350000 in words is "one hundred forty-four billion, three hundred forty-one million, three hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1019 1250 2000 2038 2500 2833 3125 4076 5000 5095 5666 6250 8152 10000 10190 11332 12500 14165 16304 20380 22664 25000 25475 28330 40760 45328 50000 50950 56660 70825 81520 101900 113320 127375 141650 203800 226640 254750 283300 354125 407600 509500 566600 636875 708250 1019000 1133200 1273750 1416500 1770625 2038000 2547500 2833000 2886827 3184375 3541250 5095000 5666000 5773654 6368750 7082500 8853125 10190000 11547308 12737500 14165000 14434135 17706250 23094616 25475000 28330000 28868270 35412500 46189232 50950000 57736540 70825000 72170675 115473080 141650000 144341350 230946160 288682700 360853375 577365400 721706750 1154730800 1443413500 1804266875 2886827000 3608533750 5773654000 7217067500 9021334375 14434135000 18042668750 28868270000 36085337500 72170675000 144341350000