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144019269000 = 2333535334047
BaseRepresentation
bin1000011000100000110…
…1111010010110001000
3111202201221122220022000
42012020031322112020
54324422413102000
6150054520431000
713255634405505
oct2061015722610
9452657586260
10144019269000
1156095139462
1223ab3918460
131077249c189
146d8335a4ac
153b2da01000
hex218837a588

144019269000 has 128 divisors (see below), whose sum is σ = 499266892800. Its totient is φ = 38405131200.

The previous prime is 144019268983. The next prime is 144019269091. The reversal of 144019269000 is 962910441.

It is a happy number.

It is a super-2 number, since 2×1440192690002 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2640024 + ... + 2694023.

It is an arithmetic number, because the mean of its divisors is an integer number (3900522600).

Almost surely, 2144019269000 is an apocalyptic number.

144019269000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144019269000 is an abundant number, since it is smaller than the sum of its proper divisors (355247623800).

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

144019269000 is a wasteful number, since it uses less digits than its factorization.

144019269000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5334077 (or 5334057 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 144019269000 in words is "one hundred forty-four billion, nineteen million, two hundred sixty-nine thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 125 135 150 180 200 216 225 250 270 300 360 375 450 500 540 600 675 750 900 1000 1080 1125 1350 1500 1800 2250 2700 3000 3375 4500 5400 6750 9000 13500 27000 5334047 10668094 16002141 21336188 26670235 32004282 42672376 48006423 53340470 64008564 80010705 96012846 106680940 128017128 133351175 144019269 160021410 192025692 213361880 240032115 266702350 288038538 320042820 384051384 400053525 480064230 533404700 576077076 640085640 666755875 720096345 800107050 960128460 1066809400 1152154152 1200160575 1333511750 1440192690 1600214100 1920256920 2000267625 2400321150 2667023500 2880385380 3200428200 3600481725 4000535250 4800642300 5334047000 5760770760 6000802875 7200963450 8001070500 9601284600 12001605750 14401926900 16002141000 18002408625 24003211500 28803853800 36004817250 48006423000 72009634500 144019269000