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40665407213988 = 223229331246747701
BaseRepresentation
bin10010011111100001001110…
…01001101101000110100100
312022222120112010222210200200
421033300213021231012210
520312230223221321423
6222253232530110500
711364656462042514
oct1117604711550644
9168876463883620
1040665407213988
1111a59114255617
12468928a71b430
13198c967ca9a4b
14a083053d5844
154a7c01d7ed43
hex24fc2726d1a4

40665407213988 has 144 divisors (see below), whose sum is σ = 106704435888960. Its totient is φ = 13042614816000.

The previous prime is 40665407213987. The next prime is 40665407213999. The reversal of 40665407213988 is 88931270456604.

40665407213988 is a `hidden beast` number, since 4 + 0 + 6 + 6 + 5 + 407 + 213 + 9 + 8 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (40665407213987) 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, 852482538 + ... + 852530238.

It is a 1-persistent number, because it is pandigital, but 2⋅40665407213988 = 81330814427976 is not.

Almost surely, 240665407213988 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 40665407213988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53352217944480).

40665407213988 is an abundant number, since it is smaller than the sum of its proper divisors (66039028674972).

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

40665407213988 is a wasteful number, since it uses less digits than its factorization.

40665407213988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50538 (or 50533 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 40665407213988 in words is "forty trillion, six hundred sixty-five billion, four hundred seven million, two hundred thirteen thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 331 348 522 662 993 1044 1324 1986 2467 2979 3972 4934 5958 7401 9599 9868 11916 14802 19198 22203 28797 29604 38396 44406 47701 57594 71543 86391 88812 95402 115188 143086 143103 172782 190804 214629 286172 286206 345564 429258 429309 572412 643887 816577 858516 858618 1287774 1383329 1633154 1717236 2449731 2575548 2766658 3266308 4149987 4899462 5533316 7349193 8299974 9798924 12449961 14698386 15789031 16599948 23680733 24899922 29396772 31578062 47361466 47367093 49799844 63156124 71042199 94722932 94734186 117678367 142084398 142101279 189468372 213126597 235356734 284168796 284202558 353035101 426253194 457881899 470713468 568405116 706070202 852506388 915763798 1059105303 1373645697 1412140404 1831527596 2118210606 2747291394 3412672643 4120937091 4236421212 5494582788 6825345286 8241874182 10238017929 13650690572 16483748364 20476035858 30714053787 38951539477 40952071716 61428107574 77903078954 116854618431 122856215148 155806157908 233709236862 350563855293 467418473724 701127710586 1129594644833 1402255421172 2259189289666 3388783934499 4518378579332 6777567868998 10166351803497 13555135737996 20332703606994 40665407213988