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144553401012 = 2231737127150797
BaseRepresentation
bin1000011010100000001…
…1011101101010110100
3111211010011201121200010
42012220003131222310
54332021132313022
6150223521020220
713305111430626
oct2065003355264
9454104647603
10144553401012
1156339698779
1224022784670
1310829044c17
146dd4278c16
153b6085c50c
hex21a80ddab4

144553401012 has 96 divisors (see below), whose sum is σ = 369674661888. Its totient is φ = 43776681984.

The previous prime is 144553401001. The next prime is 144553401061. The reversal of 144553401012 is 210104355441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 883198 + ... + 1033994.

It is an arithmetic number, because the mean of its divisors is an integer number (3850777728).

Almost surely, 2144553401012 is an apocalyptic number.

144553401012 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 144553401012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184837330944).

144553401012 is an abundant number, since it is smaller than the sum of its proper divisors (225121260876).

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

144553401012 is a wasteful number, since it uses less digits than its factorization.

144553401012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150985 (or 150983 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 144553401012 its reverse (210104355441), we get a palindrome (354657756453).

The spelling of 144553401012 in words is "one hundred forty-four billion, five hundred fifty-three million, four hundred one thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 37 51 68 74 102 111 127 148 204 222 254 381 444 508 629 762 1258 1524 1887 2159 2516 3774 4318 4699 6477 7548 8636 9398 12954 14097 18796 25908 28194 56388 79883 150797 159766 239649 301594 319532 452391 479298 603188 904782 958596 1809564 2563549 5127098 5579489 7690647 10254196 11158978 15381294 16738467 19151219 22317956 30762588 33476934 38302438 57453657 66953868 76604876 94851313 114907314 189702626 229814628 284553939 325570723 379405252 569107878 651141446 708595103 976712169 1138215756 1302282892 1417190206 1953424338 2125785309 2834380412 3906848676 4251570618 8503141236 12046116751 24092233502 36138350253 48184467004 72276700506 144553401012