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141111004314 = 2377174363689
BaseRepresentation
bin1000001101101011011…
…1110000110010011010
3111111020021020202011010
42003122313300302122
54302443404114224
6144454150314350
713123601513640
oct2033267606232
9444207222133
10141111004314
1154932535125
12234219589b6
13103caac66b7
146b88dd3190
153a0d52ce29
hex20dadf0c9a

141111004314 has 64 divisors (see below), whose sum is σ = 327527608320. Its totient is φ = 39695456640.

The previous prime is 141111004303. The next prime is 141111004319. The reversal of 141111004314 is 413400111141.

141111004314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1411110043143 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (141111004319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2183782 + ... + 2247470.

It is an arithmetic number, because the mean of its divisors is an integer number (5117618880).

Almost surely, 2141111004314 is an apocalyptic number.

141111004314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141111004314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163763804160).

141111004314 is an abundant number, since it is smaller than the sum of its proper divisors (186416604006).

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

141111004314 is a wasteful number, since it uses less digits than its factorization.

141111004314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64515.

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 141111004314 its reverse (413400111141), we get a palindrome (554511115455).

The spelling of 141111004314 in words is "one hundred forty-one billion, one hundred eleven million, four thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 71 142 213 426 497 743 994 1486 1491 2229 2982 4458 5201 10402 15603 31206 52753 63689 105506 127378 158259 191067 316518 369271 382134 445823 738542 891646 1107813 1337469 2215626 2674938 4521919 9043838 13565757 27131514 31653433 47320927 63306866 94641854 94960299 141962781 189920598 283925562 331246489 662492978 993739467 1987478934 3359785817 6719571634 10079357451 20158714902 23518500719 47037001438 70555502157 141111004314