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142275444210 = 232579106918719
BaseRepresentation
bin1000010010000001000…
…1101111110111110010
3111121020102100102101200
42010200101233313302
54312340003203320
6145205504312030
713164501215304
oct2044021576762
9447212312350
10142275444210
115537a863049
12236a7912616
131055511a1a3
146c59907974
153a7a892290
hex212046fdf2

142275444210 has 96 divisors (see below), whose sum is σ = 374969088000. Its totient is φ = 37422822528.

The previous prime is 142275444173. The next prime is 142275444221. The reversal of 142275444210 is 12444572241.

142275444210 is a `hidden beast` number, since 1 + 4 + 227 + 5 + 4 + 4 + 421 + 0 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7591231 + ... + 7609949.

It is an arithmetic number, because the mean of its divisors is an integer number (3905928000).

Almost surely, 2142275444210 is an apocalyptic number.

142275444210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142275444210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187484544000).

142275444210 is an abundant number, since it is smaller than the sum of its proper divisors (232693643790).

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

142275444210 is a wasteful number, since it uses less digits than its factorization.

142275444210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19880 (or 19877 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 142275444210 in words is "one hundred forty-two billion, two hundred seventy-five million, four hundred forty-four thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 79 90 158 237 395 474 711 790 1069 1185 1422 2138 2370 3207 3555 5345 6414 7110 9621 10690 16035 18719 19242 32070 37438 48105 56157 84451 93595 96210 112314 168471 168902 187190 253353 280785 336942 422255 506706 561570 760059 842355 844510 1266765 1478801 1520118 1684710 2533530 2957602 3800295 4436403 7394005 7600590 8872806 13309209 14788010 20010611 22182015 26618418 40021222 44364030 60031833 66546045 100053055 120063666 133092090 180095499 200106110 300159165 360190998 600318330 900477495 1580838269 1800954990 3161676538 4742514807 7904191345 9485029614 14227544421 15808382690 23712574035 28455088842 47425148070 71137722105 142275444210