Search a number
-
+
144605153016656 = 24173117149567483
BaseRepresentation
bin100000111000010010000010…
…110001110011101101010000
3200222000010011202002122222022
4200320102002301303231100
5122423202323133013111
61231314405030231012
742313243332050333
oct4070220261635520
9628003152078868
10144605153016656
1142091779036062
12142755451b5468
13628c29090c1c7
14279ccd900461a
1511ab7a28e42db
hex838482c73b50

144605153016656 has 40 divisors (see below), whose sum is σ = 306222676994304. Its totient is φ = 65854339130880.

The previous prime is 144605153016617. The next prime is 144605153016703. The reversal of 144605153016656 is 656610351506441.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 144605153016598 and 144605153016607.

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 7 ways as a sum of consecutive naturals, for example, 8574775310 + ... + 8574792173.

Almost surely, 2144605153016656 is an apocalyptic number.

144605153016656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

144605153016656 is an abundant number, since it is smaller than the sum of its proper divisors (161617523977648).

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

144605153016656 is a wasteful number, since it uses less digits than its factorization.

144605153016656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17149567539 (or 17149567533 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 53.

The spelling of 144605153016656 in words is "one hundred forty-four trillion, six hundred five billion, one hundred fifty-three million, sixteen thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 31 34 62 68 124 136 248 272 496 527 1054 2108 4216 8432 17149567483 34299134966 68598269932 137196539864 274393079728 291542647211 531636591973 583085294422 1063273183946 1166170588844 2126546367892 2332341177688 4253092735784 4664682355376 8506185471568 9037822063541 18075644127082 36151288254164 72302576508328 144605153016656