Search a number
-
+
144101333436678 = 232397115317489431
BaseRepresentation
bin100000110000111100110100…
…110010101000100100000110
3200220012221201200200012000200
4200300330310302220210012
5122341424012324433203
61230251123320151330
742231656243222202
oct4060746462504406
9626187650605020
10144101333436678
1141a0803a0136a2
12141b3979008546
13625390b35cb47
1427827827d3b02
15119d6167c89a3
hex830f34ca8906

144101333436678 has 48 divisors (see below), whose sum is σ = 313277491883616. Its totient is φ = 47871228303360.

The previous prime is 144101333436637. The next prime is 144101333436701. The reversal of 144101333436678 is 876634333101441.

144101333436678 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 0 + 133 + 3 + 436 + 6 + 78 = 666.

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 23 ways as a sum of consecutive naturals, for example, 505378 + ... + 16984053.

It is an arithmetic number, because the mean of its divisors is an integer number (6526614414242).

Almost surely, 2144101333436678 is an apocalyptic number.

144101333436678 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

144101333436678 is an abundant number, since it is smaller than the sum of its proper divisors (169176158446938).

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

144101333436678 is a wasteful number, since it uses less digits than its factorization.

144101333436678 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17490989 (or 17490986 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 144101333436678 in words is "one hundred forty-four trillion, one hundred one billion, three hundred thirty-three million, four hundred thirty-six thousand, six hundred seventy-eight".

Divisors: 1 2 3 6 9 18 397 794 1153 1191 2306 2382 3459 3573 6918 7146 10377 20754 457741 915482 1373223 2746446 4119669 8239338 17489431 34978862 52468293 104936586 157404879 314809758 6943304107 13886608214 20165313943 20829912321 40330627886 41659824642 60495941829 62489736963 120991883658 124979473926 181487825487 362975650974 8005629635371 16011259270742 24016888906113 48033777812226 72050666718339 144101333436678