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42201433141440 = 2635216132033953
BaseRepresentation
bin10011001100001110010010…
…11011100111000011000000
312112102102021102202200020120
421212013021123213003000
521012412013341011230
6225431023140340240
711613644566022526
oct1146071133470300
9175372242680216
1042201433141440
11124a0588901471
124896b066a4680
131a71769031591
14a5c7bb508316
154d2b51dad310
hex2661c96e70c0

42201433141440 has 112 divisors (see below), whose sum is σ = 133995815592288. Its totient is φ = 11253189279744.

The previous prime is 42201433141381. The next prime is 42201433141493. The reversal of 42201433141440 is 4414133410224.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19731504 + ... + 21765456.

Almost surely, 242201433141440 is an apocalyptic number.

42201433141440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42201433141440 is an abundant number, since it is smaller than the sum of its proper divisors (91794382450848).

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

42201433141440 is a wasteful number, since it uses less digits than its factorization.

42201433141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2055586 (or 2055576 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 42201433141440 its reverse (4414133410224), we get a palindrome (46615566551664).

The spelling of 42201433141440 in words is "forty-two trillion, two hundred one billion, four hundred thirty-three million, one hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 21613 43226 64839 86452 108065 129678 172904 216130 259356 324195 345808 432260 518712 648390 691616 864520 1037424 1296780 1383232 1729040 2033953 2074848 2593560 3458080 4067906 4149696 5187120 6101859 6916160 8135812 10169765 10374240 12203718 16271624 20339530 20748480 24407436 30509295 32543248 40679060 48814872 61018590 65086496 81358120 97629744 122037180 130172992 162716240 195259488 244074360 325432480 390518976 488148720 650864960 976297440 1952594880 43959826189 87919652378 131879478567 175839304756 219799130945 263758957134 351678609512 439598261890 527517914268 659397392835 703357219024 879196523780 1055035828536 1318794785670 1406714438048 1758393047560 2110071657072 2637589571340 2813428876096 3516786095120 4220143314144 5275179142680 7033572190240 8440286628288 10550358285360 14067144380480 21100716570720 42201433141440