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144105160108 = 227131722947237
BaseRepresentation
bin1000011000110101010…
…1100011110110101100
3111202221221021121202011
42012031111203312230
54330111410110413
6150111225411004
713261026436060
oct2061525436654
9452857247664
10144105160108
1156129673748
1223b18639a64
1310787212b10
146d90917aa0
153b3631a33d
hex218d563dac

144105160108 has 144 divisors (see below), whose sum is σ = 341088592320. Its totient is φ = 51803910144.

The previous prime is 144105160093. The next prime is 144105160141. The reversal of 144105160108 is 801061501441.

144105160108 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 144105160108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3027066 + ... + 3074302.

It is an arithmetic number, because the mean of its divisors is an integer number (2368670780).

Almost surely, 2144105160108 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 144105160108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170544296160).

144105160108 is an abundant number, since it is smaller than the sum of its proper divisors (196983432212).

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

144105160108 is a wasteful number, since it uses less digits than its factorization.

144105160108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47324 (or 47305 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 31.

Adding to 144105160108 its reverse (801061501441), we get a palindrome (945166661549).

The spelling of 144105160108 in words is "one hundred forty-four billion, one hundred five million, one hundred sixty thousand, one hundred eight".

Divisors: 1 2 4 7 13 14 17 26 28 29 34 52 58 68 91 116 119 182 203 221 238 289 364 377 406 442 476 493 578 754 812 884 986 1156 1508 1547 1972 2023 2639 3094 3451 3757 4046 5278 6188 6409 6902 7514 8092 8381 10556 12818 13804 15028 16762 25636 26299 33524 44863 47237 52598 58667 89726 94474 105196 108953 117334 179452 188948 217906 234668 330659 435812 614081 661318 762671 803029 1228162 1322636 1369873 1525342 1606058 2456324 2739746 3050684 3212116 4298567 5479492 5621203 8597134 9589111 10439377 11242406 13651493 17194268 17808349 19178222 20878754 22484812 23287841 27302986 35616698 38356444 41757508 46575682 54605972 71233396 73075639 93151364 95560451 124658443 146151278 163014887 177469409 191120902 249316886 292302556 302741933 326029774 354938818 382241804 395893297 498633772 605483866 652059548 709877636 791786594 1210967732 1242285863 1583573188 2119193531 2484571726 2771253079 4238387062 4969143452 5146612861 5542506158 8476774124 10293225722 11085012316 20586451444 36026290027 72052580054 144105160108