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431505650212420 = 22579710123114899
BaseRepresentation
bin110001000011100111011110…
…0111111111101111001000100
32002120211112111200110112200011
41202013032330333331321010
5423024242032423244140
64125422543055400004
7156614153162064610
oct14207167477757104
92076745450415604
10431505650212420
11115544578241283
1240490829223004
13156a0a6785ba54
14787adb081a340
1534d46bb343cea
hex18873bcffde44

431505650212420 has 144 divisors (see below), whose sum is σ = 1056752202441600. Its totient is φ = 144969844838400.

The previous prime is 431505650212303. The next prime is 431505650212423. The reversal of 431505650212420 is 24212056505134.

It is a super-2 number, since 2×4315056502124202 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (431505650212423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136972131 + ... + 140087029.

It is an arithmetic number, because the mean of its divisors is an integer number (7338556961400).

Almost surely, 2431505650212420 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 431505650212420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528376101220800).

431505650212420 is an abundant number, since it is smaller than the sum of its proper divisors (625246552229180).

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

431505650212420 is a wasteful number, since it uses less digits than its factorization.

431505650212420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3115214 (or 3115111 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

The spelling of 431505650212420 in words is "four hundred thirty-one trillion, five hundred five billion, six hundred fifty million, two hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 97 101 140 194 202 388 404 485 505 679 707 970 1010 1358 1414 1940 2020 2716 2828 3395 3535 6790 7070 9797 10201 13580 14140 19594 20402 39188 40804 48985 51005 68579 71407 97970 102010 137158 142814 195940 204020 274316 285628 342895 357035 685790 714070 989497 1371580 1428140 1978994 3114899 3957988 4947485 6229798 6926479 9894970 12459596 13852958 15574495 19789940 21804293 27705916 31148990 34632395 43608586 62297980 69264790 87217172 109021465 138529580 218042930 302145203 314604799 436085860 604290406 629209598 1208580812 1258419196 1510726015 1573023995 2115016421 2202233593 3021452030 3146047990 4230032842 4404467186 6042904060 6292095980 8460065684 8808934372 10575082105 11011167965 21150164210 22022335930 30516665503 31775084699 42300328420 44044671860 61033331006 63550169398 122066662012 127100338796 152583327515 158875423495 213616658521 222425592893 305166655030 317750846990 427233317042 444851185786 610333310060 635501693980 854466634084 889702371572 1068083292605 1112127964465 2136166585210 2224255928930 3082183215803 4272333170420 4448511857860 6164366431606 12328732863212 15410916079015 21575282510621 30821832158030 43150565021242 61643664316060 86301130042484 107876412553105 215752825106210 431505650212420