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2430013144 = 231324494003
BaseRepresentation
bin1001000011010111…
…0000111011011000
320021100111110100211
42100311300323120
514434040410034
61041043340504
7114134525266
oct22065607330
96240443324
102430013144
111037751929
12579981734
132c9596900
14190a33436
15e3503d64
hex90d70ed8

2430013144 has 48 divisors (see below), whose sum is σ = 4945941000. Its totient is φ = 1118767104.

The previous prime is 2430013111. The next prime is 2430013171. The reversal of 2430013144 is 4413100342.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 605047 + ... + 609049.

Almost surely, 22430013144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2430013144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2472970500).

2430013144 is an abundant number, since it is smaller than the sum of its proper divisors (2515927856).

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

2430013144 is a wasteful number, since it uses less digits than its factorization.

2430013144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4484 (or 4467 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2430013144 is about 49295.1634950124. The cubic root of 2430013144 is about 1344.4238479786.

Adding to 2430013144 its reverse (4413100342), we get a palindrome (6843113486).

The spelling of 2430013144 in words is "two billion, four hundred thirty million, thirteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 169 338 449 676 898 1352 1796 3592 4003 5837 8006 11674 16012 23348 32024 46696 52039 75881 104078 151762 208156 303524 416312 607048 676507 1353014 1797347 2706028 3594694 5412056 7189388 14378776 23365511 46731022 93462044 186924088 303751643 607503286 1215006572 2430013144