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42143046435 = 3257379773701
BaseRepresentation
bin100111001111111010…
…111101101100100011
311000210000120120112200
4213033322331230203
51142302104441220
631205451424243
73021225661410
oct471772755443
9130700516480
1042143046435
11169667185a6
128201755083
133c88062789
14207b061107
151169c03890
hex9cfebdb23

42143046435 has 96 divisors (see below), whose sum is σ = 85850623872. Its totient is φ = 18720460800.

The previous prime is 42143046419. The next prime is 42143046437. The reversal of 42143046435 is 53464034124.

42143046435 is a `hidden beast` number, since 4 + 2 + 1 + 4 + 3 + 0 + 4 + 643 + 5 = 666.

It is not a de Polignac number, because 42143046435 - 24 = 42143046419 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42143046435.

It is not an unprimeable number, because it can be changed into a prime (42143046437) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 11385085 + ... + 11388785.

It is an arithmetic number, because the mean of its divisors is an integer number (894277332).

Almost surely, 242143046435 is an apocalyptic number.

42143046435 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42143046435 is an abundant number, since it is smaller than the sum of its proper divisors (43707577437).

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

42143046435 is a wasteful number, since it uses less digits than its factorization.

42143046435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4733 (or 4730 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 42143046435 in words is "forty-two billion, one hundred forty-three million, forty-six thousand, four hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 35 37 45 63 105 111 185 259 315 333 555 777 977 1295 1665 2331 2931 3701 3885 4885 6839 8793 11103 11655 14655 18505 20517 25907 33309 34195 36149 43965 55515 61551 77721 102585 108447 129535 136937 166545 180745 233163 253043 307755 325341 388605 410811 542235 684685 759129 958559 1165815 1232433 1265215 1626705 2054055 2277387 2875677 3615877 3795645 4792795 6162165 8627031 10847631 11386935 14378385 18079385 25311139 32542893 43135155 54238155 75933417 126555695 133787449 162714465 227800251 379667085 401362347 668937245 936512143 1139001255 1204087041 2006811735 2809536429 4682560715 6020435205 8428609287 14047682145 42143046435