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141214434410 = 25759241337421
BaseRepresentation
bin1000001110000100001…
…0010100010001101010
3111111111110212112120102
42003201002110101222
54303201343400120
6144512323225402
713126265613260
oct2034102242152
9444443775512
10141214434410
1154985959745
1223450518262
131041636b53a
146b98a38430
153a1765dd75
hex20e109446a

141214434410 has 128 divisors (see below), whose sum is σ = 298234759680. Its totient is φ = 47145369600.

The previous prime is 141214434409. The next prime is 141214434433. The reversal of 141214434410 is 14434412141.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 335426000 + ... + 335426420.

It is an arithmetic number, because the mean of its divisors is an integer number (2329959060).

Almost surely, 2141214434410 is an apocalyptic number.

141214434410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

141214434410 is an abundant number, since it is smaller than the sum of its proper divisors (157020325270).

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

141214434410 is a wasteful number, since it uses less digits than its factorization.

141214434410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072.

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 141214434410 its reverse (14434412141), we get a palindrome (155648846551).

The spelling of 141214434410 in words is "one hundred forty-one billion, two hundred fourteen million, four hundred thirty-four thousand, four hundred ten".

Divisors: 1 2 5 7 10 14 35 59 70 118 241 295 337 413 421 482 590 674 826 842 1205 1685 1687 2065 2105 2359 2410 2947 3370 3374 4130 4210 4718 5894 8435 11795 14219 14735 16870 19883 23590 24839 28438 29470 39766 49678 71095 81217 99415 99533 101461 124195 139181 141877 142190 162434 173873 198830 199066 202922 248390 278362 283754 347746 406085 497665 507305 568519 695905 709385 710227 812170 869365 993139 995330 1014610 1137038 1391810 1418770 1420454 1738730 1986278 2842595 3551135 4791803 4965695 5685190 5986199 7102270 8370743 9583606 9931390 11972398 16741486 23959015 29930995 33542621 34192357 41853715 41903393 47918030 58595201 59861990 67085242 68384714 83707430 83806786 117190402 167713105 170961785 209516965 239346499 292976005 335426210 341923570 419033930 478692998 585952010 1196732495 2017349063 2393464990 4034698126 10086745315 14121443441 20173490630 28242886882 70607217205 141214434410