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142604661420 = 2232513577105619
BaseRepresentation
bin1000010011001111100…
…1100111001010101100
3111122002100211101111200
42010303321213022230
54314023243131140
6145302304445500
713205606423244
oct2046371471254
9448070741450
10142604661420
1155529682891
122377a019890
13105a83a7880
146c8b524b24
153a99723030
hex2133e672ac

142604661420 has 144 divisors (see below), whose sum is σ = 466653663840. Its totient is φ = 35041517568.

The previous prime is 142604661413. The next prime is 142604661431. The reversal of 142604661420 is 24166406241.

142604661420 is a `hidden beast` number, since 1 + 4 + 2 + 604 + 6 + 6 + 1 + 42 + 0 = 666.

142604661420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1297371 + ... + 1402989.

Almost surely, 2142604661420 is an apocalyptic number.

142604661420 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 142604661420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233326831920).

142604661420 is an abundant number, since it is smaller than the sum of its proper divisors (324049002420).

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

142604661420 is a wasteful number, since it uses less digits than its factorization.

142604661420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106224 (or 106219 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 142604661420 in words is "one hundred forty-two billion, six hundred four million, six hundred sixty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 577 585 780 1154 1170 1731 2308 2340 2885 3462 5193 5770 6924 7501 8655 10386 11540 15002 17310 20772 22503 25965 30004 34620 37505 45006 51930 67509 75010 90012 103860 105619 112515 135018 150020 211238 225030 270036 316857 337545 422476 450060 528095 633714 675090 950571 1056190 1267428 1350180 1373047 1584285 1901142 2112380 2746094 3168570 3802284 4119141 4752855 5492188 6337140 6865235 8238282 9505710 12357423 13730470 16476564 19011420 20595705 24714846 27460940 41191410 49429692 60942163 61787115 82382820 121884326 123574230 182826489 243768652 247148460 304710815 365652978 548479467 609421630 731305956 792248119 914132445 1096958934 1218843260 1584496238 1828264890 2193917868 2376744357 2742397335 3168992476 3656529780 3961240595 4753488714 5484794670 7130233071 7922481190 9506977428 10969589340 11883721785 14260466142 15844962380 23767443570 28520932284 35651165355 47534887140 71302330710 142604661420