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114322444240 = 2457319575761
BaseRepresentation
bin110101001111000100…
…1100000111111010000
3101221002022211220011111
41222132021200333100
53333113021203430
6124304034423104
711155005512464
oct1523611407720
9357068756144
10114322444240
1144536048484
121a1a6431a94
13aa1bb77214
1457672b04a4
152e91811c2a
hex1a9e260fd0

114322444240 has 40 divisors (see below), whose sum is σ = 269440788168. Its totient is φ = 45102551040.

The previous prime is 114322444217. The next prime is 114322444253. The reversal of 114322444240 is 42444223411.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3944342416 + 110378101824 = 62804^2 + 332232^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9782041 + ... + 9793720.

Almost surely, 2114322444240 is an apocalyptic number.

114322444240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114322444240 is an abundant number, since it is smaller than the sum of its proper divisors (155118343928).

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

114322444240 is a wasteful number, since it uses less digits than its factorization.

114322444240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19575847 (or 19575841 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 114322444240 its reverse (42444223411), we get a palindrome (156766667651).

The spelling of 114322444240 in words is "one hundred fourteen billion, three hundred twenty-two million, four hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 5840 19575761 39151522 78303044 97878805 156606088 195757610 313212176 391515220 783030440 1429030553 1566060880 2858061106 5716122212 7145152765 11432244424 14290305530 22864488848 28580611060 57161222120 114322444240