Search a number
-
+
144091975648 = 2519236993381
BaseRepresentation
bin1000011000110010001…
…1010000111111100000
3111202221000110210001211
42012030203100333200
54330100021210043
6150110035035504
713260506404315
oct2061443207740
9452830423054
10144091975648
1156122188aa5
1223b1413bb94
131078457796a
146d8cc84d0c
153b350b3a9d
hex218c8d0fe0

144091975648 has 24 divisors (see below), whose sum is σ = 298611661320. Its totient is φ = 68254093440.

The previous prime is 144091975579. The next prime is 144091975681. The reversal of 144091975648 is 846579190441.

It is a happy number.

It is a super-2 number, since 2×1440919756482 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144091975592 and 144091975601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 118496083 + ... + 118497298.

It is an arithmetic number, because the mean of its divisors is an integer number (12442152555).

Almost surely, 2144091975648 is an apocalyptic number.

It is an amenable number.

144091975648 is an abundant number, since it is smaller than the sum of its proper divisors (154519685672).

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

144091975648 is a wasteful number, since it uses less digits than its factorization.

144091975648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236993410 (or 236993402 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 58.

The spelling of 144091975648 in words is "one hundred forty-four billion, ninety-one million, nine hundred seventy-five thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 236993381 473986762 947973524 1895947048 3791894096 4502874239 7583788192 9005748478 18011496956 36022993912 72045987824 144091975648