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42064311346024 = 23114359131133
BaseRepresentation
bin10011001000001110111000…
…10101011110001101101000
312111221022100011220201221011
421210013130111132031220
521003140202201033044
6225244024452353304
711601021564006322
oct1144073425361550
9174838304821834
1042064311346024
1112448413160000
124874418915834
131a6185584b926
14a55cd025a612
154ce2c8bc3134
hex2641dc55e368

42064311346024 has 40 divisors (see below), whose sum is σ = 86757103696050. Its totient is φ = 19120141467680.

The previous prime is 42064311346007. The next prime is 42064311346087.

42064311346024 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 40246716640900 + 1817594705124 = 6344030^2 + 1348182^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 179448439 + ... + 179682694.

Almost surely, 242064311346024 is an apocalyptic number.

42064311346024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42064311346024 is an abundant number, since it is smaller than the sum of its proper divisors (44692792350026).

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

42064311346024 is an equidigital number, since it uses as much as digits as its factorization.

42064311346024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359131183 (or 359131146 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

The spelling of 42064311346024 in words is "forty-two trillion, sixty-four billion, three hundred eleven million, three hundred forty-six thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 1331 2662 5324 10648 14641 29282 58564 117128 359131133 718262266 1436524532 2873049064 3950442463 7900884926 15801769852 31603539704 43454867093 86909734186 173819468372 347638936744 478003538023 956007076046 1912014152092 3824028304184 5258038918253 10516077836506 21032155673012 42064311346024