Search a number
-
+
40144210204 = 2272476137109
BaseRepresentation
bin100101011000110010…
…000000100100011100
310211121201102011201011
4211120302000210130
51124203404211304
630235245425004
72620545104500
oct453062004434
9124551364634
1040144210204
11160303a632a
12794426b164
133a29c05047
141d2b7ca300
15109e4c0c04
hex958c8091c

40144210204 has 72 divisors (see below), whose sum is σ = 83608822080. Its totient is φ = 16808770944.

The previous prime is 40144210199. The next prime is 40144210217. The reversal of 40144210204 is 40201244104.

It is a super-2 number, since 2×401442102042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 5643402 + ... + 5650510.

It is an arithmetic number, because the mean of its divisors is an integer number (1161233640).

Almost surely, 240144210204 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 40144210204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41804411040).

40144210204 is an abundant number, since it is smaller than the sum of its proper divisors (43464611876).

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

40144210204 is a wasteful number, since it uses less digits than its factorization.

40144210204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7787 (or 7778 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 40144210204 its reverse (40201244104), we get a palindrome (80345454308).

The spelling of 40144210204 in words is "forty billion, one hundred forty-four million, two hundred ten thousand, two hundred four".

Divisors: 1 2 4 7 14 28 47 49 94 98 188 196 329 613 658 1226 1316 2303 2452 4291 4606 7109 8582 9212 14218 17164 28436 28811 30037 49763 57622 60074 99526 115244 120148 199052 201677 334123 348341 403354 668246 696682 806708 1336492 1393364 1411739 2338861 2823478 4357817 4677722 5646956 8715634 9355444 16372027 17431268 30504719 32744054 61009438 65488108 122018876 204817399 213533033 409634798 427066066 819269596 854132132 1433721793 2867443586 5734887172 10036052551 20072105102 40144210204