Search a number
-
+
2424242244031 = 1723291366915641
BaseRepresentation
bin100011010001110000000…
…110010000100110111111
322120202101121110210222221
4203101300012100212333
5304204322003302111
65053403112350211
7340100661036256
oct43216006204677
98522347423887
102424242244031
1185512a601a03
12331a019a5367
131477b34270ba
148549650979d
15430d7cb8371
hex234701909bf

2424242244031 has 32 divisors (see below), whose sum is σ = 2771186774400. Its totient is φ = 2106892677120.

The previous prime is 2424242244023. The next prime is 2424242244037. The reversal of 2424242244031 is 1304422424242.

It is not a de Polignac number, because 2424242244031 - 23 = 2424242244023 is a prime.

It is a super-2 number, since 2×24242422440312 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2424242244037) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 154984971 + ... + 155000611.

It is an arithmetic number, because the mean of its divisors is an integer number (86599586700).

Almost surely, 22424242244031 is an apocalyptic number.

2424242244031 is a deficient number, since it is larger than the sum of its proper divisors (346944530369).

2424242244031 is a wasteful number, since it uses less digits than its factorization.

2424242244031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29379.

The product of its (nonzero) digits is 98304, while the sum is 34.

Adding to 2424242244031 its reverse (1304422424242), we get a palindrome (3728664668273).

The spelling of 2424242244031 in words is "two trillion, four hundred twenty-four billion, two hundred forty-two million, two hundred forty-four thousand, thirty-one".

Divisors: 1 17 23 29 391 493 667 11339 13669 15641 232373 265897 314387 359743 396401 453589 5344579 6115631 6738817 7711013 9117223 10432547 154992791 177353299 213796829 3634546093 4917327067 6200108041 83594560139 105401836697 142602484943 2424242244031