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114040223320 = 2357358766533
BaseRepresentation
bin110101000110101010…
…0111011011001011000
3101220100122210120211211
41222031110323121120
53332023244121240
6124220033432504
711145010622122
oct1521524733130
9356318716754
10114040223320
1144400807751
121a127a0b734
13a9a55629aa
14573ba08212
152e76b65bea
hex1a8d53b658

114040223320 has 64 divisors (see below), whose sum is σ = 260552466720. Its totient is φ = 44913890304.

The previous prime is 114040223303. The next prime is 114040223411. The reversal of 114040223320 is 23322040411.

It is a junction number, because it is equal to n+sod(n) for n = 114040223291 and 114040223300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1680774 + ... + 1747306.

Almost surely, 2114040223320 is an apocalyptic number.

114040223320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114040223320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130276233360).

114040223320 is an abundant number, since it is smaller than the sum of its proper divisors (146512243400).

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

114040223320 is a wasteful number, since it uses less digits than its factorization.

114040223320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67204 (or 67200 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 114040223320 its reverse (23322040411), we get a palindrome (137362263731).

The spelling of 114040223320 in words is "one hundred fourteen billion, forty million, two hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 587 730 1174 1460 2348 2920 2935 4696 5870 11740 23480 42851 66533 85702 133066 171404 214255 266132 332665 342808 428510 532264 665330 857020 1330660 1714040 2661320 4856909 9713818 19427636 24284545 38855272 39054871 48569090 78109742 97138180 156219484 194276360 195274355 312438968 390548710 781097420 1562194840 2851005583 5702011166 11404022332 14255027915 22808044664 28510055830 57020111660 114040223320