Search a number
-
+
10331414042240 = 27523701862367
BaseRepresentation
bin1001011001010111100001…
…0000111001011010000000
31100120200012000012222020102
42112111320100321122000
52323232213443322430
633550104110101532
72114264033254634
oct226257020713200
940520160188212
1010331414042240
1133235899841a5
1211aa3697aa8a8
1359c32c2a63b5
1427a086404dc4
1512db25446345
hex96578439680

10331414042240 has 64 divisors (see below), whose sum is σ = 25772386152960. Its totient is φ = 3952888845312.

The previous prime is 10331414042137. The next prime is 10331414042251. The reversal of 10331414042240 is 4224041413301.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×103314140422402 (a number of 27 digits) contains 22 as substring.

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, 350916464 + ... + 350945903.

It is an arithmetic number, because the mean of its divisors is an integer number (402693533640).

Almost surely, 210331414042240 is an apocalyptic number.

10331414042240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10331414042240 is an abundant number, since it is smaller than the sum of its proper divisors (15440972110720).

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

10331414042240 is an equidigital number, since it uses as much as digits as its factorization.

10331414042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701862409 (or 701862397 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 10331414042240 its reverse (4224041413301), we get a palindrome (14555455455541).

The spelling of 10331414042240 in words is "ten trillion, three hundred thirty-one billion, four hundred fourteen million, forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 320 368 460 640 736 920 1472 1840 2944 3680 7360 14720 701862367 1403724734 2807449468 3509311835 5614898936 7018623670 11229797872 14037247340 16142834441 22459595744 28074494680 32285668882 44919191488 56148989360 64571337764 80714172205 89838382976 112297978720 129142675528 161428344410 224595957440 258285351056 322856688820 449191914880 516570702112 645713377640 1033141404224 1291426755280 2066282808448 2582853510560 5165707021120 10331414042240