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4014323320 = 235725157119
BaseRepresentation
bin1110111101000101…
…1011011001111000
3101100202122202100111
43233101123121320
531210131321240
61502200514104
7201323120350
oct35721333170
911322582314
104014323320
11177aa87587
1294047b934
134bc898057
142a1201b60
151876541ea
hexef45b678

4014323320 has 64 divisors (see below), whose sum is σ = 10363852800. Its totient is φ = 1370832000.

The previous prime is 4014323317. The next prime is 4014323371. The reversal of 4014323320 is 233234104.

It is a happy number.

It is a super-2 number, since 2×40143233202 = 32229583434991644800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4014323291 and 4014323300.

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, 41721 + ... + 98839.

It is an arithmetic number, because the mean of its divisors is an integer number (161935200).

Almost surely, 24014323320 is an apocalyptic number.

4014323320 is a gapful number since it is divisible by the number (40) 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 4014323320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5181926400).

4014323320 is an abundant number, since it is smaller than the sum of its proper divisors (6349529480).

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

4014323320 is a wasteful number, since it uses less digits than its factorization.

4014323320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57388 (or 57384 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 4014323320 is about 63358.6878020686. The cubic root of 4014323320 is about 1589.2935326482.

Adding to 4014323320 its reverse (233234104), we get a palindrome (4247557424).

The spelling of 4014323320 in words is "four billion, fourteen million, three hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 251 280 502 1004 1255 1757 2008 2510 3514 5020 7028 8785 10040 14056 17570 35140 57119 70280 114238 228476 285595 399833 456952 571190 799666 1142380 1599332 1999165 2284760 3198664 3998330 7996660 14336869 15993320 28673738 57347476 71684345 100358083 114694952 143368690 200716166 286737380 401432332 501790415 573474760 802864664 1003580830 2007161660 4014323320