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114995722356 = 22344164313463
BaseRepresentation
bin110101100011001000…
…1110111100001110100
3101222211020201222010000
41223012101313201310
53341002401103411
6124454525231300
711210462340444
oct1530621674164
9358736658100
10114995722356
11448510a6279
121a353a02530
13aac84bb738
1457cc890124
152ed09a6956
hex1ac6477874

114995722356 has 120 divisors (see below), whose sum is σ = 308455608384. Its totient is φ = 37336049280.

The previous prime is 114995722351. The next prime is 114995722357. The reversal of 114995722356 is 653227599411.

114995722356 is a `hidden beast` number, since 1 + 1 + 49 + 9 + 572 + 23 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114995722351) 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 39 ways as a sum of consecutive naturals, for example, 8534881 + ... + 8548343.

Almost surely, 2114995722356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114995722356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154227804192).

114995722356 is an abundant number, since it is smaller than the sum of its proper divisors (193459886028).

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

114995722356 is a wasteful number, since it uses less digits than its factorization.

114995722356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14163 (or 14152 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The spelling of 114995722356 in words is "one hundred fourteen billion, nine hundred ninety-five million, seven hundred twenty-two thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 246 324 369 492 643 738 1107 1286 1476 1929 2214 2572 3321 3858 4428 5787 6642 7716 11574 13284 13463 17361 23148 26363 26926 34722 40389 52083 52726 53852 69444 79089 80778 104166 105452 121167 158178 161556 208332 237267 242334 316356 363501 474534 484668 551983 711801 727002 949068 1090503 1103966 1423602 1454004 1655949 2135403 2181006 2207932 2847204 3311898 4270806 4362012 4967847 6623796 8541612 8656709 9935694 14903541 17313418 19871388 25970127 29807082 34626836 44710623 51940254 59614164 77910381 89421246 103880508 155820762 178842492 233731143 311641524 354925069 467462286 701193429 709850138 934924572 1064775207 1402386858 1419700276 2129550414 2804773716 3194325621 4259100828 6388651242 9582976863 12777302484 19165953726 28748930589 38331907452 57497861178 114995722356