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114244440240 = 2435768002643
BaseRepresentation
bin110101001100101111…
…1111101000010110000
3101220212220001212210110
41222121133331002300
53332433034041430
6124252210501320
711153040501540
oct1523137750260
9356786055713
10114244440240
11444a600a967
121a184294840
13aa089654c8
14575aba7320
152e89a547b0
hex1a997fd0b0

114244440240 has 80 divisors (see below), whose sum is σ = 404751737088. Its totient is φ = 26113014528.

The previous prime is 114244440209. The next prime is 114244440313. The reversal of 114244440240 is 42044442411.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 114244440198 and 114244440207.

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, 33999642 + ... + 34003001.

Almost surely, 2114244440240 is an apocalyptic number.

114244440240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114244440240 is an abundant number, since it is smaller than the sum of its proper divisors (290507296848).

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

114244440240 is a wasteful number, since it uses less digits than its factorization.

114244440240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68002666 (or 68002660 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 114244440240 its reverse (42044442411), we get a palindrome (156288882651).

The spelling of 114244440240 in words is "one hundred fourteen billion, two hundred forty-four million, four hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 68002643 136005286 204007929 272010572 340013215 408015858 476018501 544021144 680026430 816031716 952037002 1020039645 1088042288 1360052860 1428055503 1632063432 1904074004 2040079290 2380092505 2720105720 2856111006 3264126864 3808148008 4080158580 4760185010 5440211440 5712222012 7140277515 7616296016 8160317160 9520370020 11424444024 14280555030 16320634320 19040740040 22848888048 28561110060 38081480080 57122220120 114244440240