Search a number
-
+
42004332324 = 2234598272657
BaseRepresentation
bin100111000111101001…
…110011111100100100
311000102100120011120000
4213013221303330210
51142011102113244
631144014341300
73014622635163
oct470751637444
9130370504500
1042004332324
11168a5394639
1281831ba830
133c653b5816
1420668733da
15115c953169
hex9c7a73f24

42004332324 has 120 divisors (see below), whose sum is σ = 111845875680. Its totient is φ = 13742313984.

The previous prime is 42004332313. The next prime is 42004332341. The reversal of 42004332324 is 42323340024.

42004332324 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 4 + 332 + 324 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15807604 + ... + 15810260.

It is an arithmetic number, because the mean of its divisors is an integer number (932048964).

Almost surely, 242004332324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42004332324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55922937840).

42004332324 is an abundant number, since it is smaller than the sum of its proper divisors (69841543356).

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

42004332324 is a wasteful number, since it uses less digits than its factorization.

42004332324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3559 (or 3548 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 42004332324 its reverse (42323340024), we get a palindrome (84327672348).

The spelling of 42004332324 in words is "forty-two billion, four million, three hundred thirty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 81 108 118 162 177 236 324 354 531 708 827 1062 1593 1654 2124 2481 2657 3186 3308 4779 4962 5314 6372 7443 7971 9558 9924 10628 14886 15942 19116 22329 23913 29772 31884 44658 47826 48793 66987 71739 89316 95652 97586 133974 143478 146379 156763 195172 215217 267948 286956 292758 313526 430434 439137 470289 585516 627052 860868 878274 940578 1317411 1410867 1756548 1881156 2197339 2634822 2821734 3952233 4232601 4394678 5269644 5643468 6592017 7904466 8465202 8789356 12697803 13184034 15808932 16930404 19776051 25395606 26368068 39552102 50791212 59328153 79104204 118656306 129643001 177984459 237312612 259286002 355968918 388929003 518572004 711937836 777858006 1166787009 1555716012 2333574018 3500361027 4667148036 7000722054 10501083081 14001444108 21002166162 42004332324