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23144313204 = 22324133134733
BaseRepresentation
bin10101100011100000…
…100011000101110100
32012201222002221002100
4111203200203011310
5334344421010304
614344330542100
71446352262535
oct254340430564
965658087070
1023144313204
1198a73a8081
12459ab97930
13224ac497ac
141197b3668c
15906d19439
hex563823174

23144313204 has 72 divisors (see below), whose sum is σ = 59961355272. Its totient is φ = 7522744320.

The previous prime is 23144313187. The next prime is 23144313221. The reversal of 23144313204 is 40231344132.

23144313204 is a `hidden beast` number, since 2 + 3 + 1 + 443 + 13 + 204 = 666.

It is an interprime number because it is at equal distance from previous prime (23144313187) and next prime (23144313221).

It can be written as a sum of positive squares in 4 ways, for example, as 814988304 + 22329324900 = 28548^2 + 149430^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4887622 + ... + 4892354.

It is an arithmetic number, because the mean of its divisors is an integer number (832796601).

Almost surely, 223144313204 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 23144313204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29980677636).

23144313204 is an abundant number, since it is smaller than the sum of its proper divisors (36817042068).

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

23144313204 is a wasteful number, since it uses less digits than its factorization.

23144313204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8097 (or 8092 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 23144313204 its reverse (40231344132), we get a palindrome (63375657336).

The spelling of 23144313204 in words is "twenty-three billion, one hundred forty-four million, three hundred thirteen thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 3313 4733 6626 9466 9939 13252 14199 18932 19878 28398 29817 39756 42597 56796 59634 85194 119268 135833 170388 194053 271666 388106 407499 543332 582159 776212 814998 1164318 1222497 1629996 1746477 2328636 2444994 3492954 4889988 6985908 15680429 31360858 47041287 62721716 94082574 141123861 188165148 282247722 564495444 642897589 1285795178 1928692767 2571590356 3857385534 5786078301 7714771068 11572156602 23144313204