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144596920000 = 265413278071
BaseRepresentation
bin1000011010101010100…
…1011110011011000000
3111211020012121121111111
42012222221132123000
54332113302420000
6150232113453104
713306150353301
oct2065251363300
9454205547444
10144596920000
1156361212185
1224035271194
13108350713c0
146dd9d667a8
153b645a6cba
hex21aaa5e6c0

144596920000 has 140 divisors (see below), whose sum is σ = 386135784496. Its totient is φ = 53389440000.

The previous prime is 144596919989. The next prime is 144596920021. The reversal of 144596920000 is 29695441.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 380965 + ... + 659035.

Almost surely, 2144596920000 is an apocalyptic number.

144596920000 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 144596920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193067892248).

144596920000 is an abundant number, since it is smaller than the sum of its proper divisors (241538864496).

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

144596920000 is an equidigital number, since it uses as much as digits as its factorization.

144596920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278116 (or 278091 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 144596920000 in words is "one hundred forty-four billion, five hundred ninety-six million, nine hundred twenty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 130 160 200 208 250 260 320 325 400 416 500 520 625 650 800 832 1000 1040 1250 1300 1600 1625 2000 2080 2500 2600 3250 4000 4160 5000 5200 6500 8000 8125 10000 10400 13000 16250 20000 20800 26000 32500 40000 52000 65000 104000 130000 260000 278071 520000 556142 1112284 1390355 2224568 2780710 3614923 4449136 5561420 6951775 7229846 8898272 11122840 13903550 14459692 17796544 18074615 22245680 27807100 28919384 34758875 36149230 44491360 55614200 57838768 69517750 72298460 88982720 90373075 111228400 115677536 139035500 144596920 173794375 180746150 222456800 231355072 278071000 289193840 347588750 361492300 444913600 451865375 556142000 578387680 695177500 722984600 903730750 1112284000 1156775360 1390355000 1445969200 1807461500 2224568000 2259326875 2780710000 2891938400 3614923000 4518653750 5561420000 5783876800 7229846000 9037307500 11122840000 14459692000 18074615000 28919384000 36149230000 72298460000 144596920000