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144545302120 = 235194739710193
BaseRepresentation
bin1000011010011110010…
…0100100011001101000
3111211002121111011002011
42012213210210121220
54332012044131440
6150223031245304
713304652536662
oct2064744443150
9454077434064
10144545302120
115633506697a
122401bb19834
131082746a78b
146dd316b532
153b5ecac9ea
hex21a7924668

144545302120 has 128 divisors (see below), whose sum is σ = 350543116800. Its totient is φ = 53469351936.

The previous prime is 144545302117. The next prime is 144545302141. The reversal of 144545302120 is 21203545441.

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, 14175744 + ... + 14185936.

It is an arithmetic number, because the mean of its divisors is an integer number (2738618100).

Almost surely, 2144545302120 is an apocalyptic number.

144545302120 is a gapful number since it is divisible by the number (10) 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 144545302120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175271558400).

144545302120 is an abundant number, since it is smaller than the sum of its proper divisors (205997814680).

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

144545302120 is a wasteful number, since it uses less digits than its factorization.

144545302120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10667 (or 10663 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 144545302120 its reverse (21203545441), we get a palindrome (165748847561).

The spelling of 144545302120 in words is "one hundred forty-four billion, five hundred forty-five million, three hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 47 76 94 95 152 188 190 235 376 380 397 470 760 794 893 940 1588 1786 1880 1985 3176 3572 3970 4465 7144 7543 7940 8930 10193 15086 15880 17860 18659 20386 30172 35720 37318 37715 40772 50965 60344 74636 75430 81544 93295 101930 149272 150860 186590 193667 203860 301720 354521 373180 387334 407720 479071 709042 746360 774668 958142 968335 1418084 1549336 1772605 1916284 1936670 2395355 2836168 3545210 3832568 3873340 4046621 4790710 7090420 7746680 8093242 9102349 9581420 14180840 16186484 18204698 19162840 20233105 32372968 36409396 40466210 45511745 72818792 76885799 80932420 91023490 153771598 161864840 182046980 190191187 307543196 364093960 380382374 384428995 615086392 760764748 768857990 950955935 1521529496 1537715980 1901911870 3075431960 3613632553 3803823740 7227265106 7607647480 14454530212 18068162765 28909060424 36136325530 72272651060 144545302120