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114140321120 = 2557101911001
BaseRepresentation
bin110101001001101001…
…0110001010101100000
3101220121122011002012202
41222103102301111200
53332224410233440
6124234011112332
711150334502340
oct1522322612540
9356548132182
10114140321120
1144452265701
121a1554426a8
13a9c020bb67
14574b022d20
152e80839615
hex1a934b1560

114140321120 has 48 divisors (see below), whose sum is σ = 308178870048. Its totient is φ = 39133824000.

The previous prime is 114140321093. The next prime is 114140321153. The reversal of 114140321120 is 21123041411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 114140321092 and 114140321101.

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, 50954381 + ... + 50956620.

It is an arithmetic number, because the mean of its divisors is an integer number (6420393126).

Almost surely, 2114140321120 is an apocalyptic number.

114140321120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114140321120 is an abundant number, since it is smaller than the sum of its proper divisors (194038548928).

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

114140321120 is a wasteful number, since it uses less digits than its factorization.

114140321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101911023 (or 101911015 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 114140321120 its reverse (21123041411), we get a palindrome (135263362531).

The spelling of 114140321120 in words is "one hundred fourteen billion, one hundred forty million, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 101911001 203822002 407644004 509555005 713377007 815288008 1019110010 1426754014 1630576016 2038220020 2853508028 3261152032 3566885035 4076440040 5707016056 7133770070 8152880080 11414032112 14267540140 16305760160 22828064224 28535080280 57070160560 114140321120