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2424424244440 = 2351110154555001
BaseRepresentation
bin100011010001111010111…
…100100010010011011000
322120202212021221101121211
4203101322330202103120
5304210210101310230
65053433133312504
7340105331025562
oct43217274422330
98522767841554
102424424244440
11855213310570
12331a52935734
1314781204b653
14854b2764332
15430e8c6942a
hex2347af224d8

2424424244440 has 64 divisors (see below), whose sum is σ = 6009779020320. Its totient is φ = 872880000000.

The previous prime is 2424424244369. The next prime is 2424424244453. The reversal of 2424424244440 is 444424244242.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2424424244393 and 2424424244402.

It is a congruent number.

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, 27233061 + ... + 27321940.

Almost surely, 22424424244440 is an apocalyptic number.

2424424244440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2424424244440 is an abundant number, since it is smaller than the sum of its proper divisors (3585354775880).

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

2424424244440 is a wasteful number, since it uses less digits than its factorization.

2424424244440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54555124 (or 54555120 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 40.

Adding to 2424424244440 its reverse (444424244242), we get a palindrome (2868848488682).

The spelling of 2424424244440 in words is "two trillion, four hundred twenty-four billion, four hundred twenty-four million, two hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 1010 1111 2020 2222 4040 4444 5555 8888 11110 22220 44440 54555001 109110002 218220004 272775005 436440008 545550010 600105011 1091100020 1200210022 2182200040 2400420044 3000525055 4800840088 5510055101 6001050110 11020110202 12002100220 22040220404 24004200440 27550275505 44080440808 55100551010 60610606111 110201102020 121221212222 220402204040 242442424444 303053030555 484884848888 606106061110 1212212122220 2424424244440