Search a number
-
+
401232242605644 = 2232314712975897851
BaseRepresentation
bin101101100111010110010100…
…1010010101111111001001100
31221121122102112212010022002200
41123032230221102233321030
5410042242113101340034
63541203314142321500
7150341034003153162
oct13316545122577114
91847572485108080
10401232242605644
1110693270293660a
12390015b6289290
13142b60659c8a28
147111a5bd89232
15315be88778a99
hex16ceb294afe4c

401232242605644 has 144 divisors (see below), whose sum is σ = 1070042853175296. Its totient is φ = 126578241216000.

The previous prime is 401232242605643. The next prime is 401232242605687. The reversal of 401232242605644 is 446506242232104.

401232242605644 is a `hidden beast` number, since 4 + 0 + 1 + 2 + 3 + 2 + 24 + 2 + 60 + 564 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 401232242605644.

It is not an unprimeable number, because it can be changed into a prime (401232242605643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65081319 + ... + 70979169.

Almost surely, 2401232242605644 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 401232242605644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535021426587648).

401232242605644 is an abundant number, since it is smaller than the sum of its proper divisors (668810610569652).

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

401232242605644 is a wasteful number, since it uses less digits than its factorization.

401232242605644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5899236 (or 5899231 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 45.

Adding to 401232242605644 its reverse (446506242232104), we get a palindrome (847738484837748).

The spelling of 401232242605644 in words is "four hundred one trillion, two hundred thirty-two billion, two hundred forty-two million, six hundred five thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 47 62 93 94 124 141 186 188 279 282 372 423 558 564 846 1116 1297 1457 1692 2594 2914 3891 4371 5188 5828 7782 8742 11673 13113 15564 17484 23346 26226 40207 46692 52452 60959 80414 120621 121918 160828 182877 241242 243836 361863 365754 482484 548631 723726 731508 1097262 1447452 1889729 2194524 3779458 5669187 5897851 7558916 11338374 11795702 17007561 17693553 22676748 23591404 34015122 35387106 53080659 68030244 70774212 106161318 182833381 212322636 277198997 365666762 548500143 554397994 731333524 831596991 1097000286 1108795988 1645500429 1663193982 2194000572 2494790973 3291000858 3326387964 4989581946 6582001716 7649512747 8593168907 9979163892 15299025494 17186337814 22948538241 25779506721 30598050988 34372675628 45897076482 51559013442 68845614723 77338520163 91794152964 103118026884 137691229446 154677040326 237134895157 275382458892 309354080652 359527099109 474269790314 711404685471 719054198218 948539580628 1078581297327 1422809370942 1438108396436 2134214056413 2157162594654 2845618741884 3235743891981 4268428112826 4314325189308 6471487783962 8536856225652 11145340072379 12942975567924 22290680144758 33436020217137 44581360289516 66872040434274 100308060651411 133744080868548 200616121302822 401232242605644