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41151420492 = 223721352110333
BaseRepresentation
bin100110010100110100…
…001101100001001100
310221012220122202110220
4212110310031201030
51133234230423432
630523225431340
72654525205600
oct462464154114
9127186582426
1041151420492
11164a79a4326
127b8563b550
133b5a798070
141dc5493500
15110cb2872c
hex994d0d84c

41151420492 has 144 divisors (see below), whose sum is σ = 120531311712. Its totient is φ = 10831242240.

The previous prime is 41151420473. The next prime is 41151420493. The reversal of 41151420492 is 29402415114.

It is not an unprimeable number, because it can be changed into a prime (41151420493) 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, 3977358 + ... + 3987690.

It is an arithmetic number, because the mean of its divisors is an integer number (837022998).

Almost surely, 241151420492 is an apocalyptic number.

41151420492 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41151420492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60265655856).

41151420492 is an abundant number, since it is smaller than the sum of its proper divisors (79379891220).

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

41151420492 is a wasteful number, since it uses less digits than its factorization.

41151420492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10888 (or 10879 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 41151420492 in words is "forty-one billion, one hundred fifty-one million, four hundred twenty thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 521 546 588 637 1042 1092 1274 1563 1911 2084 2548 3126 3647 3822 6252 6773 7294 7644 10333 10941 13546 14588 20319 20666 21882 25529 27092 30999 40638 41332 43764 47411 51058 61998 72331 76587 81276 94822 102116 123996 134329 142233 144662 153174 189644 216993 268658 284466 289324 306348 331877 402987 433986 506317 537316 568932 663754 805974 867972 940303 995631 1012634 1327508 1518951 1611948 1880606 1991262 2025268 2820909 3037902 3761212 3982524 5383493 5641818 6075804 6582121 10766986 11283636 13164242 16150479 19746363 21533972 26328484 32300958 37684451 39492726 64601916 69985409 75368902 78985452 113053353 139970818 150737804 209956227 226106706 263791157 279941636 419912454 452213412 489897863 527582314 791373471 839824908 979795726 1055164628 1469693589 1582746942 1959591452 2939387178 3165493884 3429285041 5878774356 6858570082 10287855123 13717140164 20575710246 41151420492