Search a number
-
+
2440442242224 = 24337807024551
BaseRepresentation
bin100011100000110101101…
…100010110010010110000
322122022012121121222202000
4203200311230112102300
5304441011203222344
65105042414454000
7341213301535560
oct43406554262260
98568177558660
102440442242224
11860a93029368
12334b83204300
1314919576684c
1486191c5cda0
1543735117a69
hex23835b164b0

2440442242224 has 80 divisors (see below), whose sum is σ = 8005683555840. Its totient is φ = 697269211200.

The previous prime is 2440442242211. The next prime is 2440442242307. The reversal of 2440442242224 is 4222422440442.

2440442242224 is a `hidden beast` number, since 2 + 4 + 4 + 0 + 4 + 422 + 4 + 2 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 403509252 + ... + 403515299.

It is an arithmetic number, because the mean of its divisors is an integer number (100071044448).

Almost surely, 22440442242224 is an apocalyptic number.

2440442242224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2440442242224 is an abundant number, since it is smaller than the sum of its proper divisors (5565241313616).

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

2440442242224 is a wasteful number, since it uses less digits than its factorization.

2440442242224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807024575 (or 807024563 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 2440442242224 its reverse (4222422440442), we get a palindrome (6662864682666).

The spelling of 2440442242224 in words is "two trillion, four hundred forty billion, four hundred forty-two million, two hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 807024551 1614049102 2421073653 3228098204 4842147306 5649171857 6456196408 7263220959 9684294612 11298343714 12912392816 14526441918 16947515571 19368589224 21789662877 22596687428 29052883836 33895031142 38737178448 43579325754 45193374856 50842546713 58105767672 67790062284 87158651508 90386749712 101685093426 116211535344 135580124568 152527640139 174317303016 203370186852 271160249136 305055280278 348634606032 406740373704 610110560556 813480747408 1220221121112 2440442242224