Search a number
-
+
240402334240 = 25522733119997
BaseRepresentation
bin1101111111100100011…
…0001000001000100000
3211222112001101220211001
43133321012020020200
512414320444143430
6302234520201344
723240252060635
oct3377106101040
9758461356731
10240402334240
1192a54939982
123a712309254
131989284c623
14b8c7ca018c
1563c04313ca
hex37f9188220

240402334240 has 96 divisors (see below), whose sum is σ = 572204533824. Its totient is φ = 95443307520.

The previous prime is 240402334213. The next prime is 240402334297. The reversal of 240402334240 is 42433204042.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 240402334199 and 240402334208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12011922 + ... + 12031918.

It is an arithmetic number, because the mean of its divisors is an integer number (5960463894).

Almost surely, 2240402334240 is an apocalyptic number.

240402334240 is a gapful number since it is divisible by the number (20) 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 240402334240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286102266912).

240402334240 is an abundant number, since it is smaller than the sum of its proper divisors (331802199584).

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

240402334240 is a wasteful number, since it uses less digits than its factorization.

240402334240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20570 (or 20562 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 240402334240 its reverse (42433204042), we get a palindrome (282835538282).

The spelling of 240402334240 in words is "two hundred forty billion, four hundred two million, three hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 227 331 454 662 908 1135 1324 1655 1816 2270 2648 3310 3632 4540 5296 6620 7264 9080 10592 13240 18160 19997 26480 36320 39994 52960 75137 79988 99985 150274 159976 199970 300548 319952 375685 399940 601096 639904 751370 799880 1202192 1502740 1599760 2404384 3005480 3199520 4539319 6010960 6619007 9078638 12021920 13238014 18157276 22696595 26476028 33095035 36314552 45393190 52952056 66190070 72629104 90786380 105904112 132380140 145258208 181572760 211808224 264760280 363145520 529520560 726291040 1059041120 1502514589 3005029178 6010058356 7512572945 12020116712 15025145890 24040233424 30050291780 48080466848 60100583560 120201167120 240402334240