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144553242132 = 223213242715563
BaseRepresentation
bin1000011010100000001…
…0110110111000010100
3111211010011102112201200
42012220002312320110
54332021112222012
6150223513352500
713305110166465
oct2065002667024
9454104375650
10144553242132
115633959a372
1224022708730
1310828cba800
146dd4236d6c
153b6082a3dc
hex21a80b6e14

144553242132 has 108 divisors (see below), whose sum is σ = 395831951424. Its totient is φ = 44459513280.

The previous prime is 144553242107. The next prime is 144553242137. The reversal of 144553242132 is 231242355441.

It is a happy number.

144553242132 is a `hidden beast` number, since 1 + 4 + 455 + 32 + 42 + 132 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144553242137) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25981983 + ... + 25987545.

Almost surely, 2144553242132 is an apocalyptic number.

144553242132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144553242132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197915975712).

144553242132 is an abundant number, since it is smaller than the sum of its proper divisors (251278709292).

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

144553242132 is a wasteful number, since it uses less digits than its factorization.

144553242132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9870 (or 9852 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

Adding to 144553242132 its reverse (231242355441), we get a palindrome (375795597573).

The spelling of 144553242132 in words is "one hundred forty-four billion, five hundred fifty-three million, two hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 4271 5563 6084 8542 11126 12813 16689 17084 22252 25626 33378 38439 50067 51252 55523 66756 72319 76878 100134 111046 144638 153756 166569 200268 216957 222092 289276 333138 433914 499707 650871 666276 721799 867828 940147 999414 1301742 1443598 1880294 1998828 2165397 2603484 2820441 2887196 3760588 4330794 5640882 6496191 8461323 8661588 11281764 12992382 16922646 23759573 25984764 33845292 47519146 71278719 95038292 142557438 213836157 285114876 308874449 427672314 617748898 855344628 926623347 1235497796 1853246694 2779870041 3706493388 4015367837 5559740082 8030735674 11119480164 12046103511 16061471348 24092207022 36138310533 48184414044 72276621066 144553242132