Search a number
-
+
40001655204 = 223275910632531
BaseRepresentation
bin100101010000010010…
…001101000110100100
310211020210011122000100
4211100102031012210
51123410410431304
630213154144100
72614164313320
oct452022150644
9124223148010
1040001655204
1115a67989685
127904582030
133a06511a84
141d168bc980
151091c12439
hex95048d1a4

40001655204 has 144 divisors (see below), whose sum is σ = 117676016640. Its totient is φ = 11220327360.

The previous prime is 40001655203. The next prime is 40001655247. The reversal of 40001655204 is 40255610004.

40001655204 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 1 + 655 + 2 + 0 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (40001655203) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 15803419 + ... + 15805949.

It is an arithmetic number, because the mean of its divisors is an integer number (817194560).

Almost surely, 240001655204 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 40001655204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58838008320).

40001655204 is an abundant number, since it is smaller than the sum of its proper divisors (77674361436).

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

40001655204 is a wasteful number, since it uses less digits than its factorization.

40001655204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3670 (or 3665 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 40001655204 in words is "forty billion, one million, six hundred fifty-five thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 59 63 84 118 126 177 236 252 354 413 531 708 826 1062 1063 1239 1652 2124 2126 2478 2531 3189 3717 4252 4956 5062 6378 7434 7441 7593 9567 10124 12756 14868 14882 15186 17717 19134 22323 22779 29764 30372 35434 38268 44646 45558 53151 62717 66969 70868 89292 91116 106302 125434 133938 149329 159453 188151 212604 250868 267876 298658 318906 376302 439019 447987 564453 597316 637812 752604 878038 895974 1045303 1128906 1317057 1343961 1756076 1791948 2090606 2257812 2634114 2687922 2690453 3135909 3951171 4181212 5268228 5375844 5380906 6271818 7902342 8071359 9407727 10761812 12543636 15804684 16142718 18815454 18833171 24214077 32285436 37630908 37666342 48428154 56499513 75332684 96856308 112999026 158736727 169498539 225998052 317473454 338997078 476210181 634946908 677994156 952420362 1111157089 1428630543 1904840724 2222314178 2857261086 3333471267 4444628356 5714522172 6666942534 10000413801 13333885068 20000827602 40001655204