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2423141040 = 243531325691
BaseRepresentation
bin1001000001101110…
…0011001010110000
320020212120022121110
42100123203022300
514430311003130
61040240153320
7114022234065
oct22033431260
96225508543
102423141040
111033888801
12577608840
132c802b988
1418db64c6c
15e2ae7ab0
hex906e32b0

2423141040 has 80 divisors (see below), whose sum is σ = 7754075136. Its totient is φ = 625324800.

The previous prime is 2423141029. The next prime is 2423141059. The reversal of 2423141040 is 401413242.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×24231410402 = 11743224999464563200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2423140998 and 2423141016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155406 + ... + 170285.

Almost surely, 22423141040 is an apocalyptic number.

2423141040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2423141040 is an abundant number, since it is smaller than the sum of its proper divisors (5330934096).

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

2423141040 is a wasteful number, since it uses less digits than its factorization.

2423141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325738 (or 325732 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2423141040 is about 49225.4105112390. The cubic root of 2423141040 is about 1343.1553029111.

Adding to 2423141040 its reverse (401413242), we get a palindrome (2824554282).

The spelling of 2423141040 in words is "two billion, four hundred twenty-three million, one hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 325691 651382 977073 1302764 1628455 1954146 2605528 3256910 3908292 4885365 5211056 6513820 7816584 9770730 10096421 13027640 15633168 19541460 20192842 26055280 30289263 39082920 40385684 50482105 60578526 78165840 80771368 100964210 121157052 151446315 161542736 201928420 242314104 302892630 403856840 484628208 605785260 807713680 1211570520 2423141040