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241211112142 = 27311132458879
BaseRepresentation
bin1110000010100101001…
…1010111101011001110
3212001121102021002112011
43200221103113223032
512423000021042032
6302451051131434
723266302424000
oct3405123275316
9761542232464
10241211112142
119332a425770
123a8b9143b7a
1319991286a30
14b963472370
15641b43e247
hex38294d7ace

241211112142 has 64 divisors (see below), whose sum is σ = 495710208000. Its totient is φ = 86749215840.

The previous prime is 241211112101. The next prime is 241211112169.

241211112142 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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, 1131342 + ... + 1327537.

It is an arithmetic number, because the mean of its divisors is an integer number (7745472000).

Almost surely, 2241211112142 is an apocalyptic number.

241211112142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

241211112142 is an abundant number, since it is smaller than the sum of its proper divisors (254499095858).

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

241211112142 is a wasteful number, since it uses less digits than its factorization.

241211112142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2458926 (or 2458912 counting only the distinct ones).

The product of its digits is 256, while the sum is 22.

It can be divided in two parts, 241211 and 112142, that added together give a palindrome (353353).

The spelling of 241211112142 in words is "two hundred forty-one billion, two hundred eleven million, one hundred twelve thousand, one hundred forty-two".

Divisors: 1 2 7 11 13 14 22 26 49 77 91 98 143 154 182 286 343 539 637 686 1001 1078 1274 2002 3773 4459 7007 7546 8918 14014 49049 98098 2458879 4917758 17212153 27047669 31965427 34424306 54095338 63930854 120485071 189333683 223757989 240970142 351619697 378667366 447515978 703239394 843395497 1325335781 1566305923 1686790994 2461337879 2650671562 3132611846 4922675758 9277350467 10964141461 17229365153 18554700934 21928282922 34458730306 120605556071 241211112142