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144254221134012 = 2232111991830544403
BaseRepresentation
bin100000110011001011001101…
…100110111010100010111100
3200220202120100200211220221100
4200303023031212322202330
5122401430121102242022
61230445250242133100
742246011035214133
oct4063131546724274
9626676320756840
10144254221134012
1141a66965148570
1214219526951190
136265164c63342
142789d278b691a
1511a25b3b671ac
hex8332cd9ba8bc

144254221134012 has 72 divisors (see below), whose sum is σ = 399790897833600. Its totient is φ = 43493734991520.

The previous prime is 144254221134007. The next prime is 144254221134029. The reversal of 144254221134012 is 210431122452441.

144254221134012 is a `hidden beast` number, since 1 + 4 + 4 + 25 + 4 + 221 + 1 + 3 + 401 + 2 = 666.

144254221134012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1442542211340122 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

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, 915193398 + ... + 915351005.

It is an arithmetic number, because the mean of its divisors is an integer number (5552651358800).

Almost surely, 2144254221134012 is an apocalyptic number.

144254221134012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144254221134012 is an abundant number, since it is smaller than the sum of its proper divisors (255536676699588).

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

144254221134012 is a wasteful number, since it uses less digits than its factorization.

144254221134012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830544623 (or 1830544618 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 144254221134012 its reverse (210431122452441), we get a palindrome (354685343586453).

The spelling of 144254221134012 in words is "one hundred forty-four trillion, two hundred fifty-four billion, two hundred twenty-one million, one hundred thirty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 199 396 398 597 796 1194 1791 2189 2388 3582 4378 6567 7164 8756 13134 19701 26268 39402 78804 1830544403 3661088806 5491633209 7322177612 10983266418 16474899627 20135988433 21966532836 32949799254 40271976866 60407965299 65899598508 80543953732 120815930598 181223895897 241631861196 362447791794 364278336197 724895583588 728556672394 1092835008591 1457113344788 2185670017182 3278505025773 4007061698167 4371340034364 6557010051546 8014123396334 12021185094501 13114020103092 16028246792668 24042370189002 36063555283503 48084740378004 72127110567006 144254221134012