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114520334111400 = 23352727266746217
BaseRepresentation
bin11010000010011111010111…
…110101011001001010101000
3120000111000222222200002012210
4122002133113311121022220
5110002300121013031100
61043321525403405120
733056551431510060
oct3202372765311250
9500430888602183
10114520334111400
113354288a0810a8
1210a169842237a0
134bb92b4ba4829
14203cb56cbc3a0
15d38e0b567c50
hex6827d7d592a8

114520334111400 has 96 divisors (see below), whose sum is σ = 405729183723840. Its totient is φ = 26176076367360.

The previous prime is 114520334111371. The next prime is 114520334111431. The reversal of 114520334111400 is 4111433025411.

It is a happy number.

It is a super-2 number, since 2×1145203341114002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13633368909 + ... + 13633377308.

It is an arithmetic number, because the mean of its divisors is an integer number (4226345663790).

Almost surely, 2114520334111400 is an apocalyptic number.

114520334111400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114520334111400 is an abundant number, since it is smaller than the sum of its proper divisors (291208849612440).

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

114520334111400 is a wasteful number, since it uses less digits than its factorization.

114520334111400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27266746243 (or 27266746234 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 114520334111400 its reverse (4111433025411), we get a palindrome (118631767136811).

The spelling of 114520334111400 in words is "one hundred fourteen trillion, five hundred twenty billion, three hundred thirty-four million, one hundred eleven thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 27266746217 54533492434 81800238651 109066984868 136333731085 163600477302 190867223519 218133969736 272667462170 327200954604 381734447038 409001193255 545334924340 572601670557 654401909208 681668655425 763468894076 818002386510 954336117595 1090669848680 1145203341114 1363337310850 1526937788152 1636004773020 1908672235190 2045005966275 2290406682228 2726674621700 2863008352785 3272009546040 3817344470380 4090011932550 4580813364456 4771680587975 5453349243400 5726016705570 7634688940760 8180023865100 9543361175950 11452033411140 14315041763925 16360047730200 19086722351900 22904066822280 28630083527850 38173444703800 57260167055700 114520334111400