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241241142142 = 2711131961103969
BaseRepresentation
bin1110000010101100010…
…1111011001101111110
3212001200111202202221101
43200223011323031332
512423030213022032
6302454042523314
723300115606010
oct3405305731576
9761614682841
10241241142142
1193345376750
123a90720653a
131999756c570
14b96744c1b0
15641ddc1de7
hex382b17b37e

241241142142 has 128 divisors (see below), whose sum is σ = 519816729600. Its totient is φ = 80845516800.

The previous prime is 241241142127. The next prime is 241241142167.

241241142142 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 241241142142.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2268334 + ... + 2372302.

It is an arithmetic number, because the mean of its divisors is an integer number (4061068200).

Almost surely, 2241241142142 is an apocalyptic number.

241241142142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

241241142142 is an abundant number, since it is smaller than the sum of its proper divisors (278575587458).

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

241241142142 is a wasteful number, since it uses less digits than its factorization.

241241142142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104082.

The product of its digits is 4096, while the sum is 28.

It can be divided in two parts, 241241 and 142142, that added together give a palindrome (383383).

The spelling of 241241142142 in words is "two hundred forty-one billion, two hundred forty-one million, one hundred forty-two thousand, one hundred forty-two".

Divisors: 1 2 7 11 13 14 19 22 26 38 61 77 91 122 133 143 154 182 209 247 266 286 418 427 494 671 793 854 1001 1159 1342 1463 1586 1729 2002 2318 2717 2926 3458 4697 5434 5551 8113 8723 9394 11102 12749 15067 16226 17446 19019 25498 30134 38038 61061 89243 103969 105469 122122 165737 178486 207938 210938 331474 727783 1143659 1160159 1351597 1455566 1975411 2287318 2320318 2703194 3950822 6342109 8005613 9461179 12684218 13827877 14867567 16011226 18922358 21729521 25680343 27655754 29735134 43459042 44394763 51360686 69763199 82447417 88789526 104072969 120500071 139526398 152106647 164894834 179762401 208145938 241000142 282483773 304213294 359524802 488342393 564967546 577131919 843500497 906921587 976684786 1154263838 1325500781 1566500923 1687000994 1813843174 1977386411 2651001562 3133001846 3954772822 6348451109 9278505467 10965506461 12696902218 17231510153 18557010934 21931012922 34463020306 120620571071 241241142142