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244233134240 = 2553741255597
BaseRepresentation
bin1110001101110101101…
…1011110000010100000
3212100102000201201111112
43203131123132002200
513000142140243430
6304111003402452
723434216250024
oct3433533360240
9770360651445
10244233134240
1194640267697
123b401223428
131a0533abba4
14bb6c96c384
1565468d3195
hex38dd6de0a0

244233134240 has 48 divisors (see below), whose sum is σ = 592595409672. Its totient is φ = 95052893184.

The previous prime is 244233134239. The next prime is 244233134251. The reversal of 244233134240 is 42431332442.

244233134240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 236339877904 + 7893256336 = 486148^2 + 88844^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 244233134197 and 244233134206.

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 7 ways as a sum of consecutive naturals, for example, 20621879 + ... + 20633718.

Almost surely, 2244233134240 is an apocalyptic number.

244233134240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244233134240 is an abundant number, since it is smaller than the sum of its proper divisors (348362275432).

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

244233134240 is a wasteful number, since it uses less digits than its factorization.

244233134240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41255649 (or 41255641 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 244233134240 its reverse (42431332442), we get a palindrome (286664466682).

The spelling of 244233134240 in words is "two hundred forty-four billion, two hundred thirty-three million, one hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1480 2960 5920 41255597 82511194 165022388 206277985 330044776 412555970 660089552 825111940 1320179104 1526457089 1650223880 3052914178 3300447760 6105828356 6600895520 7632285445 12211656712 15264570890 24423313424 30529141780 48846626848 61058283560 122116567120 244233134240