Search a number
-
+
144016653648 = 24373475932083
BaseRepresentation
bin1000011000100000001…
…1111011110101010000
3111202201202202000201010
42012020003323311100
54324421230404043
6150054344410520
713255603233540
oct2061003736520
9452652660633
10144016653648
115609371250a
1223ab2a76a40
1310771a9492a
146d82c79320
153b2d686133
hex21880fbd50

144016653648 has 160 divisors (see below), whose sum is σ = 427341505536. Its totient is φ = 40940181504.

The previous prime is 144016653643. The next prime is 144016653653. The reversal of 144016653648 is 846356610441.

It is an interprime number because it is at equal distance from previous prime (144016653643) and next prime (144016653653).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 144016653597 and 144016653606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144016653643) 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, 69138015 + ... + 69140097.

Almost surely, 2144016653648 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 144016653648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213670752768).

144016653648 is an abundant number, since it is smaller than the sum of its proper divisors (283324851888).

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

144016653648 is a wasteful number, since it uses less digits than its factorization.

144016653648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3041 (or 3035 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 144016653648 in words is "one hundred forty-four billion, sixteen million, six hundred fifty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 347 593 694 1041 1186 1388 1779 2082 2083 2372 2429 2776 3558 4151 4164 4166 4744 4858 5552 6249 7116 7287 8302 8328 8332 9488 9716 12453 12498 14232 14574 14581 16604 16656 16664 19432 24906 24996 28464 29148 29162 33208 33328 38864 43743 49812 49992 58296 58324 66416 87486 99624 99984 116592 116648 174972 199248 205771 233296 349944 411542 617313 699888 722801 823084 1234626 1235219 1440397 1445602 1646168 2168403 2469252 2470438 2880794 2891204 3292336 3705657 4321191 4336806 4938504 4940876 5059607 5761588 5782408 7411314 8642382 8646533 8673612 9877008 9881752 10119214 11523176 11564816 14822628 15178821 17284764 17293066 17347224 19763504 20238428 23046352 25939599 29645256 30357642 34569528 34586132 34694448 40476856 51879198 59290512 60715284 69139056 69172264 80953712 103758396 121430568 138344528 207516792 242861136 415033584 428620993 857241986 1285862979 1714483972 2571725958 3000346951 3428967944 5143451916 6000693902 6857935888 9001040853 10286903832 12001387804 18002081706 20573807664 24002775608 36004163412 48005551216 72008326824 144016653648