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141300412000344 = 23322385326335749
BaseRepresentation
bin100000001000001100010000…
…110111010010100001011000
3200112022012001122211210001100
4200020030100313102201120
5122010031220433002334
61220304302501151400
741522421634642602
oct4010142067224130
9615265048753040
10141300412000344
1141028193975393
1213a20b720bb560
1360ac757c8b60c
1426c6d95482172
151150834695c99
hex808310dd2858

141300412000344 has 48 divisors (see below), whose sum is σ = 399327251310000. Its totient is φ = 45052305274944.

The previous prime is 141300412000343. The next prime is 141300412000351. The reversal of 141300412000344 is 443000214003141.

141300412000344 is a `hidden beast` number, since 1 + 4 + 1 + 300 + 4 + 12 + 0 + 0 + 0 + 344 = 666.

It is a super-2 number, since 2×1413004120003442 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141300412000343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42663166219 + ... + 42663169530.

It is an arithmetic number, because the mean of its divisors is an integer number (8319317735625).

Almost surely, 2141300412000344 is an apocalyptic number.

It is an amenable number.

141300412000344 is an abundant number, since it is smaller than the sum of its proper divisors (258026839309656).

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

141300412000344 is a wasteful number, since it uses less digits than its factorization.

141300412000344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85326335784 (or 85326335777 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 141300412000344 its reverse (443000214003141), we get a palindrome (584300626003485).

The spelling of 141300412000344 in words is "one hundred forty-one trillion, three hundred billion, four hundred twelve million, three hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 85326335749 170652671498 255979007247 341305342996 511958014494 682610685992 767937021741 1023916028988 1535874043482 1962505722227 2047832057976 3071748086964 3925011444454 5887517166681 6143496173928 7850022888908 11775034333362 15700045777816 17662551500043 23550068666724 35325103000086 47100137333448 70650206000172 141300412000344