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141241440312 = 2333793413651
BaseRepresentation
bin1000001110001010100…
…1010101100000111000
3111111120100200120201000
42003202221111200320
54303230302042222
6144515130125000
713130044301550
oct2034251254070
9444510616630
10141241440312
115499a124675
1223459580760
131041bb3576b
146b9c468160
153a19be59ac
hex20e2a55838

141241440312 has 64 divisors (see below), whose sum is σ = 448385529600. Its totient is φ = 40354696800.

The previous prime is 141241440299. The next prime is 141241440341. The reversal of 141241440312 is 213044142141.

141241440312 is a `hidden beast` number, since 1 + 4 + 1 + 241 + 4 + 403 + 12 = 666.

It is a super-2 number, since 2×1412414403122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46705314 + ... + 46708337.

It is an arithmetic number, because the mean of its divisors is an integer number (7006023900).

Almost surely, 2141241440312 is an apocalyptic number.

141241440312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

141241440312 is an abundant number, since it is smaller than the sum of its proper divisors (307144089288).

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

141241440312 is a wasteful number, since it uses less digits than its factorization.

141241440312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93413673 (or 93413663 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 141241440312 its reverse (213044142141), we get a palindrome (354285582453).

It can be divided in two parts, 14124 and 1440312, that added together give a square (1454436 = 12062).

The spelling of 141241440312 in words is "one hundred forty-one billion, two hundred forty-one million, four hundred forty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 93413651 186827302 280240953 373654604 560481906 653895557 747309208 840722859 1120963812 1307791114 1681445718 1961686671 2241927624 2522168577 2615582228 3362891436 3923373342 5044337154 5231164456 5885060013 6725782872 7846746684 10088674308 11770120026 15693493368 17655180039 20177348616 23540240052 35310360078 47080480104 70620720156 141241440312