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144132310301004 = 2235307483010651
BaseRepresentation
bin100000110001011001101011…
…001001111111100101001100
3200220022220200112002221100000
4200301121223021333211030
5122342430432414113004
61230313245210004300
742234134004223044
oct4061315311774514
9626286615087300
10144132310301004
1141a1a195709313
12141b9983116690
136256806c2166c
142784080886724
15119e32b063c39
hex83166b27f94c

144132310301004 has 72 divisors (see below), whose sum is σ = 379059031519168. Its totient is φ = 47887607883600.

The previous prime is 144132310300999. The next prime is 144132310301011. The reversal of 144132310301004 is 400103013231441.

144132310301004 is a `hidden beast` number, since 1 + 4 + 41 + 3 + 2 + 310 + 301 + 0 + 0 + 4 = 666.

144132310301004 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1441323103010043 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241206922 + ... + 241803729.

Almost surely, 2144132310301004 is an apocalyptic number.

It is an amenable number.

144132310301004 is an abundant number, since it is smaller than the sum of its proper divisors (234926721218164).

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

144132310301004 is a wasteful number, since it uses less digits than its factorization.

144132310301004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483010977 (or 483010963 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 144132310301004 its reverse (400103013231441), we get a palindrome (544235323532445).

The spelling of 144132310301004 in words is "one hundred forty-four trillion, one hundred thirty-two billion, three hundred ten million, three hundred one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 307 324 486 614 921 972 1228 1842 2763 3684 5526 8289 11052 16578 24867 33156 49734 74601 99468 149202 298404 483010651 966021302 1449031953 1932042604 2898063906 4347095859 5796127812 8694191718 13041287577 17388383436 26082575154 39123862731 52165150308 78247725462 117371588193 148284269857 156495450924 234743176386 296568539714 444852809571 469486352772 593137079428 889705619142 1334558428713 1779411238284 2669116857426 4003675286139 5338233714852 8007350572278 12011025858417 16014701144556 24022051716834 36033077575251 48044103433668 72066155150502 144132310301004