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144332412013020 = 223571131240781821
BaseRepresentation
bin100000110100010100000010…
…001001011100100111011100
3200221001001011221210010111010
4200310110002021130213130
5122404220234433404040
61230545221132055220
742254446501552410
oct4064240211344734
9627031157703433
10144332412013020
1141a97039930230
1214230708904510
13626c64633365a
14278da24282d40
1511a463d3c9e80
hex83450225c9dc

144332412013020 has 96 divisors (see below), whose sum is σ = 503851329225216. Its totient is φ = 29991150547200.

The previous prime is 144332412012961. The next prime is 144332412013063. The reversal of 144332412013020 is 20310214233441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15620386291 + ... + 15620395530.

It is an arithmetic number, because the mean of its divisors is an integer number (5248451346096).

Almost surely, 2144332412013020 is an apocalyptic number.

144332412013020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144332412013020 is an abundant number, since it is smaller than the sum of its proper divisors (359518917212196).

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

144332412013020 is a wasteful number, since it uses less digits than its factorization.

144332412013020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31240781851 (or 31240781849 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 144332412013020 its reverse (20310214233441), we get a palindrome (164642626246461).

The spelling of 144332412013020 in words is "one hundred forty-four trillion, three hundred thirty-two billion, four hundred twelve million, thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 4620 31240781821 62481563642 93722345463 124963127284 156203909105 187444690926 218685472747 312407818210 343648600031 374889381852 437370945494 468611727315 624815636420 656056418241 687297200062 874741890988 937223454630 1030945800093 1093427363735 1312112836482 1374594400124 1718243000155 1874446909260 2061891600186 2186854727470 2405540200217 2624225672964 3280282091205 3436486000310 4123783200372 4373709454940 4811080400434 5154729000465 6560564182410 6872972000620 7216620600651 9622160800868 10309458000930 12027701001085 13121128364820 14433241201302 20618916001860 24055402002170 28866482402604 36083103003255 48110804004340 72166206006510 144332412013020