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42302033020324 = 227117313713733053
BaseRepresentation
bin10011001111001001101011…
…01001101100010110100100
312112210000221102012000121201
421213210311221230112210
521021034030423122244
6225545141413052244
711624135545624210
oct1147446551542644
9175700842160551
1042302033020324
111252a211912440
1248b2501327084
131a7b0abbc672c
14a636020bd940
154d558dadead4
hex267935a6c5a4

42302033020324 has 96 divisors (see below), whose sum is σ = 94242588685056. Its totient is φ = 16136885422080.

The previous prime is 42302033020319. The next prime is 42302033020399.

42302033020324 is nontrivially palindromic in base 10.

42302033020324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 42302033020292 and 42302033020301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3786219 + ... + 9946834.

It is an arithmetic number, because the mean of its divisors is an integer number (981693632136).

Almost surely, 242302033020324 is an apocalyptic number.

42302033020324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42302033020324 is an abundant number, since it is smaller than the sum of its proper divisors (51940555664732).

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

42302033020324 is a wasteful number, since it uses less digits than its factorization.

42302033020324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13733285 (or 13733283 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

It can be divided in two parts, 4230203 and 3020324, that added together give a palindrome (7250527).

The spelling of 42302033020324 in words is "forty-two trillion, three hundred two billion, thirty-three million, twenty thousand, three hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 73 77 137 146 154 274 292 308 511 548 803 959 1022 1507 1606 1918 2044 3014 3212 3836 5621 6028 10001 10549 11242 20002 21098 22484 40004 42196 70007 110011 140014 220022 280028 440044 770077 1540154 3080308 13733053 27466106 54932212 96131371 151063583 192262742 302127166 384525484 604254332 1002512869 1057445081 1881428261 2005025738 2114890162 3762856522 4010051476 4229780324 7017590083 7525713044 11027641559 13169997827 14035180166 20695710871 22055283118 26339995654 28070360332 41391421742 44110566236 52679991308 77193490913 82782843484 137344263053 144869976097 154386981826 274688526106 289739952194 308773963652 549377052212 579479904388 961409841371 1510786893583 1922819682742 3021573787166 3845639365484 6043147574332 10575508255081 21151016510162 42302033020324