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114541305135520 = 25529391159321011
BaseRepresentation
bin11010000010110010111001…
…110011100000000110100000
3120000120001010111100111010211
4122002302321303200012200
5110003121043103314040
61043335314341303504
733061223214333064
oct3202627163400640
9500501114314124
10114541305135520
113355077073299a
1210a1aa57404b94
134bbb2777b2843
14203db8612baa4
15d3973768e8ea
hex682cb9ce01a0

114541305135520 has 96 divisors (see below), whose sum is σ = 270732141408960. Its totient is φ = 45794802493440.

The previous prime is 114541305135493. The next prime is 114541305135541. The reversal of 114541305135520 is 25531503145411.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5451481815 + ... + 5451502825.

It is an arithmetic number, because the mean of its divisors is an integer number (2820126473010).

Almost surely, 2114541305135520 is an apocalyptic number.

114541305135520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114541305135520 is an abundant number, since it is smaller than the sum of its proper divisors (156190836273440).

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

114541305135520 is a wasteful number, since it uses less digits than its factorization.

114541305135520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35558 (or 35550 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 40.

The spelling of 114541305135520 in words is "one hundred fourteen trillion, five hundred forty-one billion, three hundred five million, one hundred thirty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2939 5878 11593 11756 14695 21011 23186 23512 29390 42022 46372 47024 57965 58780 84044 92744 94048 105055 115930 117560 168088 185488 210110 231860 235120 336176 370976 420220 463720 470240 672352 840440 927440 1680880 1854880 3361760 34071827 61751329 68143654 123502658 136287308 170359135 243580523 247005316 272574616 308756645 340718270 487161046 494010632 545149232 617513290 681436540 974322092 988021264 1090298464 1217902615 1235026580 1362873080 1948644184 1976042528 2435805230 2470053160 2725746160 3897288368 4871610460 4940106320 5451492320 7794576736 9743220920 9880212640 19486441840 38972883680 715883157097 1431766314194 2863532628388 3579415785485 5727065256776 7158831570970 11454130513552 14317663141940 22908261027104 28635326283880 57270652567760 114541305135520