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242871178242 = 23721183904811
BaseRepresentation
bin1110001000110001000…
…0000001010000000010
3212012220002222012002210
43202030100001100002
512434400010200432
6303323512122550
723355400644600
oct3421420012002
9765802865083
10242871178242
11940014a2a20
123b0a1096456
1319b97190874
14ba7db20870
1564b70558cc
hex388c401402

242871178242 has 96 divisors (see below), whose sum is σ = 623842539264. Its totient is φ = 62323312800.

The previous prime is 242871178237. The next prime is 242871178279.

242871178242 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 242871178191 and 242871178200.

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, 183984 + ... + 720827.

It is an arithmetic number, because the mean of its divisors is an integer number (6498359784).

Almost surely, 2242871178242 is an apocalyptic number.

242871178242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

242871178242 is an abundant number, since it is smaller than the sum of its proper divisors (380971361022).

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

242871178242 is a wasteful number, since it uses less digits than its factorization.

242871178242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904924 (or 904917 counting only the distinct ones).

The product of its digits is 802816, while the sum is 48.

The spelling of 242871178242 in words is "two hundred forty-two billion, eight hundred seventy-one million, one hundred seventy-eight thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 83 98 147 154 166 231 249 294 462 498 539 581 913 1078 1162 1617 1743 1826 2739 3234 3486 4067 5478 6391 8134 12201 12782 19173 24402 38346 44737 89474 134211 268422 904811 1809622 2714433 5428866 6333677 9952921 12667354 19001031 19905842 29858763 38002062 44335739 59717526 69670447 75099313 88671478 133007217 139340894 150198626 209011341 225297939 266014434 418022682 450595878 487693129 525695191 826092443 975386258 1051390382 1463079387 1577085573 1652184886 2478277329 2926158774 3154171146 3679866337 4956554658 5782647101 7359732674 11039599011 11565294202 17347941303 22079198022 34695882606 40478529707 80957059414 121435589121 242871178242