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42302155104 = 25321119702787
BaseRepresentation
bin100111011001011001…
…111010100101100000
311001012002222010121100
4213121121322211200
51143113322430404
631233333554400
73025200246156
oct473131724540
9131162863540
1042302155104
1116a38511270
128246aa5a00
133cb2000611
14209423b3d6
151178b81d39
hex9d967a960

42302155104 has 144 divisors (see below), whose sum is σ = 138140009280. Its totient is φ = 12144142080.

The previous prime is 42302155097. The next prime is 42302155109. The reversal of 42302155104 is 40155120324.

42302155104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42302155109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 291202 + ... + 411585.

It is an arithmetic number, because the mean of its divisors is an integer number (959305620).

Almost surely, 242302155104 is an apocalyptic number.

42302155104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42302155104 is an abundant number, since it is smaller than the sum of its proper divisors (95837854176).

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

42302155104 is a wasteful number, since it uses less digits than its factorization.

42302155104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702833 (or 702822 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 42302155104 its reverse (40155120324), we get a palindrome (82457275428).

The spelling of 42302155104 in words is "forty-two billion, three hundred two million, one hundred fifty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 32 33 36 38 44 48 57 66 72 76 88 96 99 114 132 144 152 171 176 198 209 228 264 288 304 342 352 396 418 456 528 608 627 684 792 836 912 1056 1254 1368 1584 1672 1824 1881 2508 2736 3168 3344 3762 5016 5472 6688 7524 10032 15048 20064 30096 60192 702787 1405574 2108361 2811148 4216722 5622296 6325083 7730657 8433444 11244592 12650166 13352953 15461314 16866888 22489184 23191971 25300332 26705906 30922628 33733776 40058859 46383942 50600664 53411812 61845256 67467552 69575913 80117718 92767884 101201328 106823624 120176577 123690512 139151826 146882483 160235436 185535768 202402656 213647248 240353154 247381024 278303652 293764966 320470872 371071536 427294496 440647449 480706308 556607304 587529932 640941744 742143072 881294898 961412616 1113214608 1175059864 1281883488 1321942347 1762589796 1922825232 2226429216 2350119728 2643884694 3525179592 3845650464 4700239456 5287769388 7050359184 10575538776 14100718368 21151077552 42302155104