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145012516044 = 2231126331713177
BaseRepresentation
bin1000011100001101101…
…0110110010011001100
3111212022011122002002120
42013003122312103030
54333441201003134
6150341241252540
713322355022464
oct2070332662314
9455264562076
10145012516044
115655486a690
1224130494150
13108a01b3716
14703922aba4
153b8aceb649
hex21c36b64cc

145012516044 has 96 divisors (see below), whose sum is σ = 371723337216. Its totient is φ = 43634695680.

The previous prime is 145012516027. The next prime is 145012516093. The reversal of 145012516044 is 440615210541.

It is a super-2 number, since 2×1450125160442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 145012515996 and 145012516014.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10998384 + ... + 11011560.

It is an arithmetic number, because the mean of its divisors is an integer number (3872118096).

Almost surely, 2145012516044 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 145012516044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185861668608).

145012516044 is an abundant number, since it is smaller than the sum of its proper divisors (226710821172).

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

145012516044 is a wasteful number, since it uses less digits than its factorization.

145012516044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13775 (or 13773 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

Adding to 145012516044 its reverse (440615210541), we get a palindrome (585627726585).

The spelling of 145012516044 in words is "one hundred forty-five billion, twelve million, five hundred sixteen thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 263 317 526 634 789 951 1052 1268 1578 1902 2893 3156 3487 3804 5786 6974 8679 10461 11572 13177 13948 17358 20922 26354 34716 39531 41844 52708 79062 83371 144947 158124 166742 250113 289894 333484 434841 500226 579788 869682 917081 1000452 1739364 1834162 2751243 3465551 3668324 4177109 5502486 6931102 8354218 10396653 11004972 12531327 13862204 16708436 20793306 25062654 38121061 41586612 45948199 50125308 76242122 91896398 114363183 137844597 152484244 183792796 228726366 275689194 457452732 551378388 1098579667 2197159334 3295739001 4394318668 6591478002 12084376337 13182956004 24168752674 36253129011 48337505348 72506258022 145012516044