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42135453124 = 22731371497069
BaseRepresentation
bin100111001111011101…
…111111110111000100
311000202111021210110221
4213033131333313010
51142243133444444
631205020554124
73021104304442
oct471735776704
9130674253427
1042135453124
1116962401636
1281bb0b2944
133c866044ab
14207a045b92
151169203a84
hex9cf77fdc4

42135453124 has 48 divisors (see below), whose sum is σ = 75808782000. Its totient is φ = 20486117376.

The previous prime is 42135453119. The next prime is 42135453127.

42135453124 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 1943222724 + 40192230400 = 44082^2 + 200480^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42135453124.

It is not an unprimeable number, because it can be changed into a prime (42135453127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5957062 + ... + 5964130.

It is an arithmetic number, because the mean of its divisors is an integer number (1579349625).

Almost surely, 242135453124 is an apocalyptic number.

It is an amenable number.

42135453124 is a deficient number, since it is larger than the sum of its proper divisors (33673328876).

42135453124 is a wasteful number, since it uses less digits than its factorization.

42135453124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7432 (or 7430 counting only the distinct ones).

The product of its digits is 57600, while the sum is 34.

The spelling of 42135453124 in words is "forty-two billion, one hundred thirty-five million, four hundred fifty-three thousand, one hundred twenty-four".

Divisors: 1 2 4 73 137 146 149 274 292 298 548 596 7069 10001 10877 14138 20002 20413 21754 28276 40004 40826 43508 81652 516037 968453 1032074 1053281 1490149 1936906 2064148 2106562 2980298 3873812 4213124 5960596 70697069 76889513 141394138 144299497 153779026 282788276 288598994 307558052 577197988 10533863281 21067726562 42135453124