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142203302241 = 37311133726119
BaseRepresentation
bin1000010001101111111…
…0100011000101100001
3111121001101121020012220
42010123332203011201
54312213021132431
6145154410141253
713162634061000
oct2043376430541
9447041536186
10142203302241
1155343069790
1223687721829
13105431ab730
146c500c8c37
153a74391b96
hex211bfa3161

142203302241 has 128 divisors (see below), whose sum is σ = 266800128000. Its totient is φ = 66343898880.

The previous prime is 142203302203. The next prime is 142203302387.

It is a happy number.

142203302241 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 142203302241 - 29 = 142203301729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (142203302201) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5431380 + ... + 5457498.

It is an arithmetic number, because the mean of its divisors is an integer number (2084376000).

Almost surely, 2142203302241 is an apocalyptic number.

142203302241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

142203302241 is a deficient number, since it is larger than the sum of its proper divisors (124596825759).

142203302241 is a wasteful number, since it uses less digits than its factorization.

142203302241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26204 (or 26190 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 142203 and 302241, that added together give a palindrome (444444).

The spelling of 142203302241 in words is "one hundred forty-two billion, two hundred three million, three hundred two thousand, two hundred forty-one".

Divisors: 1 3 7 11 13 21 33 37 39 49 77 91 111 143 147 231 259 273 343 407 429 481 539 637 777 1001 1029 1221 1443 1617 1813 1911 2849 3003 3367 3773 4459 5291 5439 7007 8547 10101 11319 12691 13377 15873 19943 21021 23569 26119 37037 38073 49049 59829 70707 78357 111111 139601 147147 164983 182833 259259 287309 339547 418803 494949 548499 777777 861927 966403 1018641 1279831 1814813 2011163 2376829 2899209 3735017 3839493 5444439 6033489 6764821 7130487 8958817 10630433 11205051 12563239 14078141 16637803 20294463 26145119 26876451 31891299 37689717 42234423 47353747 49913409 74413031 78435357 87942673 98546987 116464621 138195629 142061241 183015833 223239093 263828019 295640961 331476229 349393863 414586887 520891217 549047499 615598711 967369403 994428687 1281110831 1562673651 1846796133 2902108209 3646238519 3843332493 4309190977 6771585821 10938715557 12927572931 20314757463 47401100747 142203302241