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241122141221142 = 234127129531122477
BaseRepresentation
bin110110110100110010011111…
…100100110011000100010110
31011121202001101121020102002010
4312310302133210303010112
5223101021121123034032
62212453552114325050
7101534333303362116
oct6664623744630426
91147661347212063
10241122141221142
116a913364750585
1223063105289786
13a4709497ca99c
144378533dc9046
151cd2218483ccc
hexdb4c9f933116

241122141221142 has 64 divisors (see below), whose sum is σ = 495850078338048. Its totient is φ = 78121071648000.

The previous prime is 241122141221131. The next prime is 241122141221191.

241122141221142 is nontrivially palindromic in base 10.

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, 1968652408 + ... + 1968774884.

It is an arithmetic number, because the mean of its divisors is an integer number (7747657474032).

Almost surely, 2241122141221142 is an apocalyptic number.

241122141221142 is an abundant number, since it is smaller than the sum of its proper divisors (254727937116906).

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

241122141221142 is a wasteful number, since it uses less digits than its factorization.

241122141221142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152325.

The product of its digits is 4096, while the sum is 30.

The spelling of 241122141221142 in words is "two hundred forty-one trillion, one hundred twenty-two billion, one hundred forty-one million, two hundred twenty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 41 82 123 246 271 542 813 1626 11111 22222 29531 33333 59062 66666 88593 122477 177186 244954 367431 734862 1210771 2421542 3632313 5021557 7264626 8002901 10043114 15064671 16005802 24008703 30129342 33191267 48017406 66382534 99573801 199147602 328118941 656237882 984356823 1360841947 1968713646 2721683894 3616868287 4082525841 7233736574 8165051682 10850604861 21701209722 148291599767 296583199534 444874799301 889749598602 980171305777 1960342611554 2940513917331 5881027834662 40187023536857 80374047073714 120561070610571 241122141221142