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114032143044 = 223237588114557
BaseRepresentation
bin110101000110011011…
…0000110101011000100
3101220100002121001210100
41222030312012223010
53332014212034134
6124215144324100
711144552136351
oct1521466065304
9356302531710
10114032143044
11443a7198936
121a125173630
13a9a3993b71
14573a903628
152e760bb999
hex1a8cd86ac4

114032143044 has 72 divisors (see below), whose sum is σ = 296109079448. Its totient is φ = 36974568960.

The previous prime is 114032143031. The next prime is 114032143061. The reversal of 114032143044 is 440341230411.

114032143044 is a `hidden beast` number, since 1 + 1 + 403 + 214 + 3 + 0 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38137402944 + 75894740100 = 195288^2 + 275490^2 .

It is a junction number, because it is equal to n+sod(n) for n = 114032142999 and 114032143017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7826214 + ... + 7840770.

Almost surely, 2114032143044 is an apocalyptic number.

It is an amenable number.

114032143044 is an abundant number, since it is smaller than the sum of its proper divisors (182076936404).

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

114032143044 is a wasteful number, since it uses less digits than its factorization.

114032143044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20485 (or 20480 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 114032143044 its reverse (440341230411), we get a palindrome (554373373455).

The spelling of 114032143044 in words is "one hundred fourteen billion, thirty-two million, one hundred forty-three thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 5881 11762 14557 17643 23524 29114 35286 43671 52929 58228 70572 87342 105858 131013 174684 211716 217597 262026 435194 524052 538609 652791 870388 1077218 1305582 1615827 1958373 2154436 2611164 3231654 3916746 4847481 6463308 7833492 9694962 19389924 85609717 171219434 256829151 342438868 513658302 770487453 1027316604 1540974906 3081949812 3167559529 6335119058 9502678587 12670238116 19005357174 28508035761 38010714348 57016071522 114032143044