Search a number
-
+
144068930937 = 358912752453
BaseRepresentation
bin1000011000101100101…
…1010110110101111001
3111202212102002222200000
42012023023112311321
54330023121242222
6150103453103213
713260106464501
oct2061313266571
9452772088600
10144068930937
1156110179188
1223b08487b09
131077c869739
146d89ba6a01
153b330609ac
hex218b2d6d79

144068930937 has 48 divisors (see below), whose sum is σ = 219954309120. Its totient is φ = 94217219712.

The previous prime is 144068930911. The next prime is 144068930953. The reversal of 144068930937 is 739039860441.

It is a happy number.

144068930937 is a `hidden beast` number, since 1 + 440 + 6 + 89 + 30 + 93 + 7 = 666.

It is not a de Polignac number, because 144068930937 - 216 = 144068865401 is a prime.

It is a super-2 number, since 2×1440689309372 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144068930987) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2720403 + ... + 2772855.

It is an arithmetic number, because the mean of its divisors is an integer number (4582381440).

Almost surely, 2144068930937 is an apocalyptic number.

It is an amenable number.

144068930937 is a deficient number, since it is larger than the sum of its proper divisors (75885378183).

144068930937 is an equidigital number, since it uses as much as digits as its factorization.

144068930937 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52684 (or 52672 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 144068930937 in words is "one hundred forty-four billion, sixty-eight million, nine hundred thirty thousand, nine hundred thirty-seven".

Divisors: 1 3 9 27 81 89 127 243 267 381 801 1143 2403 3429 7209 10287 11303 21627 30861 33909 52453 101727 157359 305181 472077 915543 1416231 2746629 4248693 4668317 6661531 12746079 14004951 19984593 42014853 59953779 126044559 179861337 378133677 539584011 592876259 1134401031 1618752033 1778628777 5335886331 16007658993 48022976979 144068930937