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144332340000 = 253542405539
BaseRepresentation
bin1000011001101011100…
…0001011101100100000
3111210112202202112222020
42012122320023230200
54331043034340000
6150145542541440
713266455435112
oct2063270135440
9453482675866
10144332340000
1156235930322
1223b80737880
13107c22c55a4
146db2b733b2
153b4b242ba0
hex219ae0bb20

144332340000 has 120 divisors (see below), whose sum is σ = 473439138480. Its totient is φ = 38488608000.

The previous prime is 144332339981. The next prime is 144332340001. The reversal of 144332340000 is 43233441.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (144332340001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1142770 + ... + 1262769.

It is an arithmetic number, because the mean of its divisors is an integer number (3945326154).

Almost surely, 2144332340000 is an apocalyptic number.

144332340000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144332340000 is an abundant number, since it is smaller than the sum of its proper divisors (329106798480).

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

144332340000 is an equidigital number, since it uses as much as digits as its factorization.

144332340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2405572 (or 2405549 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 144332340000 its reverse (43233441), we get a palindrome (144375573441).

The spelling of 144332340000 in words is "one hundred forty-four billion, three hundred thirty-two million, three hundred forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 5000 6000 7500 10000 12000 15000 20000 30000 60000 2405539 4811078 7216617 9622156 12027695 14433234 19244312 24055390 28866468 36083085 38488624 48110780 57732936 60138475 72166170 76977248 96221560 115465872 120276950 144332340 180415425 192443120 230931744 240553900 288664680 300692375 360830850 384886240 481107800 577329360 601384750 721661700 902077125 962215600 1154658720 1202769500 1443323400 1503461875 1804154250 1924431200 2405539000 2886646800 3006923750 3608308500 4510385625 4811078000 5773293600 6013847500 7216617000 9020771250 9622156000 12027695000 14433234000 18041542500 24055390000 28866468000 36083085000 48110780000 72166170000 144332340000