Search a number
-
+
142184448054 = 2321117191221159
BaseRepresentation
bin1000010001101011011…
…0101000000000110110
3111121000002010100010200
42010122312220000312
54312143204314204
6145152454101330
713162314603345
oct2043266500066
9447002110120
10142184448054
1155333461310
122368134a846
131053c3099cc
146c4b7bbb5c
153a728ba539
hex211ada8036

142184448054 has 96 divisors (see below), whose sum is σ = 357705953280. Its totient is φ = 40339219200.

The previous prime is 142184448031. The next prime is 142184448059. The reversal of 142184448054 is 450844481241.

It is a happy number.

142184448054 is a `hidden beast` number, since 1 + 42 + 1 + 84 + 4 + 480 + 54 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142184448059) 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, 532327 + ... + 753485.

It is an arithmetic number, because the mean of its divisors is an integer number (3726103680).

Almost surely, 2142184448054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142184448054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178852976640).

142184448054 is an abundant number, since it is smaller than the sum of its proper divisors (215521505226).

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

142184448054 is a wasteful number, since it uses less digits than its factorization.

142184448054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221386 (or 221383 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The spelling of 142184448054 in words is "one hundred forty-two billion, one hundred eighty-four million, four hundred forty-eight thousand, fifty-four".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 191 198 306 374 382 561 573 1122 1146 1683 1719 2101 3247 3366 3438 4202 6303 6494 9741 12606 18909 19482 29223 35717 37818 58446 71434 107151 214302 221159 321453 442318 642906 663477 1326954 1990431 2432749 3759703 3980862 4865498 7298247 7519406 11279109 14596494 21894741 22558218 33837327 41356733 42241369 43789482 67674654 82713466 84482738 124070199 126724107 248140398 253448214 372210597 380172321 464655059 718103273 744421194 760344642 929310118 1393965177 1436206546 2154309819 2787930354 4181895531 4308619638 6462929457 7899136003 8363791062 12925858914 15798272006 23697408009 47394816018 71092224027 142184448054