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144450505134 = 2321331163122167
BaseRepresentation
bin1000011010000111101…
…0111100100110101110
3111210212000002222001200
42012201322330212232
54331313312131014
6150205403350330
713302422014635
oct2064172744656
9453760088050
10144450505134
11562965a9561
1223bb42223a6
13108109292a0
146dc473251c
153b567d4a09
hex21a1ebc9ae

144450505134 has 96 divisors (see below), whose sum is σ = 350061164544. Its totient is φ = 42748326720.

The previous prime is 144450505123. The next prime is 144450505217. The reversal of 144450505134 is 431505054441.

144450505134 is a `hidden beast` number, since 1 + 4 + 44 + 50 + 50 + 513 + 4 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1121319 + ... + 1243485.

It is an arithmetic number, because the mean of its divisors is an integer number (3646470464).

Almost surely, 2144450505134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144450505134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175030582272).

144450505134 is an abundant number, since it is smaller than the sum of its proper divisors (205610659410).

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

144450505134 is a wasteful number, since it uses less digits than its factorization.

144450505134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122382 (or 122379 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 144450505134 its reverse (431505054441), we get a palindrome (575955559575).

The spelling of 144450505134 in words is "one hundred forty-four billion, four hundred fifty million, five hundred five thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 163 186 234 279 326 403 489 558 806 978 1209 1467 2119 2418 2934 3627 4238 5053 6357 7254 10106 12714 15159 19071 30318 38142 45477 65689 90954 122167 131378 197067 244334 366501 394134 591201 733002 1099503 1182402 1588171 2199006 3176342 3787177 4764513 7574354 9529026 11361531 14293539 19913221 22723062 28587078 34084593 39826442 49233301 59739663 68169186 98466602 119479326 147699903 179218989 258871873 295399806 358437978 443099709 517743746 617309851 776615619 886199418 1234619702 1553231238 1851929553 2329846857 3703859106 4659693714 5555788659 8025028063 11111577318 16050056126 24075084189 48150168378 72225252567 144450505134