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31414003212032 = 28723349374771
BaseRepresentation
bin1110010010010001001001…
…00000001001111100000000
311010020011000220012102121122
413021020210200021330000
513104141334310241112
6150451221023211412
76421405166363300
oct711104440117400
9133204026172548
1031414003212032
11a011670940851
1236342b2146b68
13146b43520acac
147a8635667600
1539723c4a3872
hex1c9224809f00

31414003212032 has 108 divisors (see below), whose sum is σ = 72946048169736. Its totient is φ = 13462562211840.

The previous prime is 31414003211989. The next prime is 31414003212107. The reversal of 31414003212032 is 23021230041413.

It is a junction number, because it is equal to n+sod(n) for n = 31414003211992 and 31414003212010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 420098807 + ... + 420173577.

It is an arithmetic number, because the mean of its divisors is an integer number (675426371942).

Almost surely, 231414003212032 is an apocalyptic number.

31414003212032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31414003212032 is an abundant number, since it is smaller than the sum of its proper divisors (41532044957704).

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

31414003212032 is an equidigital number, since it uses as much as digits as its factorization.

31414003212032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108294 (or 108273 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 31414003212032 its reverse (23021230041413), we get a palindrome (54435233253445).

The spelling of 31414003212032 in words is "thirty-one trillion, four hundred fourteen billion, three million, two hundred twelve thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 3136 6272 12544 33493 66986 74771 133972 149542 234451 267944 299084 468902 523397 535888 598168 937804 1046794 1071776 1196336 1641157 1875608 2093588 2143552 2392672 3282314 3663779 3751216 4187176 4287104 4785344 6564628 7327558 7502432 8374352 8574208 9570688 13129256 14655116 15004864 16748704 19141376 26258512 29310232 30009728 33497408 52517024 58620464 60019456 66994816 105034048 117240928 133989632 210068096 234481856 420136192 468963712 937927424 2504305103 5008610206 10017220412 17530135721 20034440824 35060271442 40068881648 70120542884 80137763296 122710950047 140241085768 160275526592 245421900094 280482171536 320551053184 490843800188 560964343072 641102106368 981687600376 1121928686144 1963375200752 2243857372288 3926750401504 4487714744576 7853500803008 15707001606016 31414003212032