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144112002244 = 22723412133121
BaseRepresentation
bin1000011000110110111…
…1101010010011000100
3111202222102011020101121
42012031233222103010
54330120133032434
6150112032203324
713261141544020
oct2061557522304
9452872136347
10144112002244
1156132517301
1223b1a999544
131078876a212
146d917b9380
153b36c1c7b4
hex218dbea4c4

144112002244 has 72 divisors (see below), whose sum is σ = 308272212864. Its totient is φ = 57635635200.

The previous prime is 144112002197. The next prime is 144112002317. The reversal of 144112002244 is 442200211441.

It is a happy number.

It is a super-2 number, since 2×1441120022442 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1016004 + ... + 1149124.

It is an arithmetic number, because the mean of its divisors is an integer number (4281558512).

Almost surely, 2144112002244 is an apocalyptic number.

144112002244 is a gapful number since it is divisible by the number (14) 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 144112002244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154136106432).

144112002244 is an abundant number, since it is smaller than the sum of its proper divisors (164160210620).

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

144112002244 is a wasteful number, since it uses less digits than its factorization.

144112002244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133237 (or 133194 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 144112002244 its reverse (442200211441), we get a palindrome (586312213685).

The spelling of 144112002244 in words is "one hundred forty-four billion, one hundred twelve million, two thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 23 28 41 46 82 92 161 164 287 322 574 644 943 1148 1681 1886 3362 3772 6601 6724 11767 13202 23534 26404 38663 47068 77326 133121 154652 266242 270641 532484 541282 931847 1082564 1863694 3061783 3727388 5457961 6123566 10915922 12247132 21432481 21831844 38205727 42864962 76411454 85729924 125533103 152822908 223776401 251066206 447552802 502132412 878731721 895105604 1566434807 1757463442 3132869614 3514926884 5146857223 6265739228 10293714446 20587428892 36028000561 72056001122 144112002244