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2423726144 = 26737732003
BaseRepresentation
bin1001000001110111…
…0010000001000000
320020220200001012222
42100131302001000
514430433214034
61040300510212
7114030221660
oct22035620100
96226601188
102423726144
111034148364
1257784b368
132c81a50a8
1418dc781a0
15e2bb112e
hex90772040

2423726144 has 112 divisors (see below), whose sum is σ = 5725411968. Its totient is φ = 996323328.

The previous prime is 2423726143. The next prime is 2423726171. The reversal of 2423726144 is 4416273242.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×24237261442 = 11748896842218217472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2423726141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1209047 + ... + 1211049.

Almost surely, 22423726144 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 2423726144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2862705984).

2423726144 is an abundant number, since it is smaller than the sum of its proper divisors (3301685824).

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

2423726144 is a wasteful number, since it uses less digits than its factorization.

2423726144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132 (or 2122 counting only the distinct ones).

The product of its digits is 64512, while the sum is 35.

The square root of 2423726144 is about 49231.3532619204. The cubic root of 2423726144 is about 1343.2634025885.

Adding to 2423726144 its reverse (4416273242), we get a palindrome (6839999386).

The spelling of 2423726144 in words is "two billion, four hundred twenty-three million, seven hundred twenty-six thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 73 74 112 146 148 224 259 292 296 448 511 518 584 592 1022 1036 1168 1184 2003 2044 2072 2336 2368 2701 4006 4088 4144 4672 5402 8012 8176 8288 10804 14021 16024 16352 16576 18907 21608 28042 32048 32704 37814 43216 56084 64096 74111 75628 86432 112168 128192 146219 148222 151256 172864 224336 292438 296444 302512 448672 518777 584876 592888 605024 897344 1023533 1037554 1169752 1185776 1210048 2047066 2075108 2339504 2371552 4094132 4150216 4679008 4743104 5410103 8188264 8300432 9358016 10820206 16376528 16600864 21640412 32753056 33201728 37870721 43280824 65506112 75741442 86561648 151482884 173123296 302965768 346246592 605931536 1211863072 2423726144