Search a number
-
+
144130314421000 = 2353218137660733
BaseRepresentation
bin100000110001010111110100…
…001100010100001100001000
3200220022201112102111201200101
4200301113310030110030020
5122342412340442433000
61230312315151215144
742234033360430645
oct4061276414241410
9626281472451611
10144130314421000
1141a19361026106
12141b95068174b4
13625657958a68b
142783d31780dcc
15119e260c16e6a
hex8315f4314308

144130314421000 has 64 divisors (see below), whose sum is σ = 337266992303280. Its totient is φ = 57651774220800.

The previous prime is 144130314420997. The next prime is 144130314421039. The reversal of 144130314421000 is 124413031441.

144130314421000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 21003284048356 + 123127030372644 = 4582934^2 + 11096262^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 144130314421000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217806634 + ... + 218467366.

Almost surely, 2144130314421000 is an apocalyptic number.

144130314421000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144130314421000 is an abundant number, since it is smaller than the sum of its proper divisors (193136677882280).

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

144130314421000 is a wasteful number, since it uses less digits than its factorization.

144130314421000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878891 (or 878877 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 144130314421000 its reverse (124413031441), we get a palindrome (144254727452441).

The spelling of 144130314421000 in words is "one hundred forty-four trillion, one hundred thirty billion, three hundred fourteen million, four hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 218137 436274 660733 872548 1090685 1321466 1745096 2181370 2642932 3303665 4362740 5285864 5453425 6607330 8725480 10906850 13214660 16518325 21813700 26429320 27267125 33036650 43627400 54534250 66073300 82591625 109068500 132146600 165183250 218137000 330366500 660733000 144130314421 288260628842 576521257684 720651572105 1153042515368 1441303144210 2882606288420 3603257860525 5765212576840 7206515721050 14413031442100 18016289302625 28826062884200 36032578605250 72065157210500 144130314421000