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114505323000544 = 2573253667323549
BaseRepresentation
bin11010000010010001011001…
…000110100011001011100000
3120000102121020211121122022001
4122002101121012203023200
5110002023400142004134
61043311004051253344
733055510435253350
oct3202213106431340
9500377224548261
10114505323000544
1133537486760363
1210a13a94baa254
134bb7a61c68408
14203c131404b60
15d3882d7ab414
hex6824591a32e0

114505323000544 has 96 divisors (see below), whose sum is σ = 257765742763200. Its totient is φ = 49049189425152.

The previous prime is 114505323000499. The next prime is 114505323000569. The reversal of 114505323000544 is 445000323505411.

114505323000544 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1145053230005442 (a number of 29 digits) contains 22 as substring.

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, 4862416482 + ... + 4862440030.

It is an arithmetic number, because the mean of its divisors is an integer number (2685059820450).

Almost surely, 2114505323000544 is an apocalyptic number.

114505323000544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114505323000544 is an abundant number, since it is smaller than the sum of its proper divisors (143260419762656).

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

114505323000544 is a wasteful number, since it uses less digits than its factorization.

114505323000544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33492 (or 33484 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

Adding to 114505323000544 its reverse (445000323505411), we get a palindrome (559505646505955).

The spelling of 114505323000544 in words is "one hundred fourteen trillion, five hundred five billion, three hundred twenty-three million, five hundred forty-four", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 3253 6506 6673 13012 13346 22771 23549 26024 26692 45542 46711 47098 52048 53384 91084 93422 94196 104096 106768 164843 182168 186844 188392 213536 329686 364336 373688 376784 659372 728672 747376 753568 1318744 1494752 2637488 5274976 21707269 43414538 76604897 86829076 151950883 153209794 157142477 173658152 303901766 306419588 314284954 347316304 536234279 607803532 612839176 628569908 694632608 1072468558 1099997339 1215607064 1225678352 1257139816 2144937116 2199994678 2431214128 2451356704 2514279632 4289874232 4399989356 4862428256 5028559264 8579748464 8799978712 17159496928 17599957424 35199914848 511184477681 1022368955362 2044737910724 3578291343767 4089475821448 7156582687534 8178951642896 14313165375068 16357903285792 28626330750136 57252661500272 114505323000544