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144345607788 = 2231916331312409
BaseRepresentation
bin1000011001101110101…
…0110010111001101100
3111210120200201121221210
42012123222302321230
54331104433422123
6150151135154420
713300006264524
oct2063352627154
9453520647853
10144345607788
1156242372638
1223b85075a10
13107c4c8c655
146db4828684
153b4c4b3e93
hex219bab2e6c

144345607788 has 96 divisors (see below), whose sum is σ = 357876601600. Its totient is φ = 45154796544.

The previous prime is 144345607781. The next prime is 144345607829. The reversal of 144345607788 is 887706543441.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (144345607781) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11626128 + ... + 11638536.

Almost surely, 2144345607788 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144345607788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178938300800).

144345607788 is an abundant number, since it is smaller than the sum of its proper divisors (213530993812).

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

144345607788 is a wasteful number, since it uses less digits than its factorization.

144345607788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12911 (or 12909 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 57.

The spelling of 144345607788 in words is "one hundred forty-four billion, three hundred forty-five million, six hundred seven thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 163 228 313 326 489 626 652 939 978 1252 1878 1956 3097 3756 5947 6194 9291 11894 12388 12409 17841 18582 23788 24818 35682 37164 37227 49636 51019 71364 74454 102038 148908 153057 204076 235771 306114 471542 612228 707313 943084 969361 1414626 1938722 2022667 2829252 2908083 3877444 3884017 4045334 5816166 6068001 7768034 8090668 11632332 11652051 12136002 15536068 23304102 24272004 38430673 46608204 73796323 76861346 115292019 147592646 153722692 221388969 230584038 295185292 442777938 461168076 633094771 885555876 1266189542 1899284313 2532379084 3798568626 7597137252 12028800649 24057601298 36086401947 48115202596 72172803894 144345607788