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42004230224 = 24111765321499
BaseRepresentation
bin100111000111101001…
…011011000001010000
311000102100100222111112
4213013221123001100
51142011040331344
631144012232452
73014622031415
oct470751330120
9130370328445
1042004230224
11168a5324960
12818316b728
133c6537b1c8
14206684810c
15115c932c9e
hex9c7a5b050

42004230224 has 80 divisors (see below), whose sum is σ = 94152456000. Its totient is φ = 17941370880.

The previous prime is 42004230211. The next prime is 42004230311. The reversal of 42004230224 is 42203240024.

It is a self number, because there is not a number n which added to its sum of digits gives 42004230224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1943027 + ... + 1964525.

It is an arithmetic number, because the mean of its divisors is an integer number (1176905700).

Almost surely, 242004230224 is an apocalyptic number.

42004230224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42004230224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47076228000).

42004230224 is an abundant number, since it is smaller than the sum of its proper divisors (52148225776).

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

42004230224 is a wasteful number, since it uses less digits than its factorization.

42004230224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22188 (or 22182 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

Adding to 42004230224 its reverse (42203240024), we get a palindrome (84207470248).

The spelling of 42004230224 in words is "forty-two billion, four million, two hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 272 374 653 748 1306 1496 2612 2992 5224 7183 10448 11101 14366 21499 22202 28732 42998 44404 57464 85996 88808 114928 122111 171992 177616 236489 244222 343984 365483 472978 488444 730966 945956 976888 1461932 1891912 1953776 2923864 3783824 4020313 5847728 8040626 14038847 16081252 28077694 32162504 56155388 64325008 112310776 154427317 224621552 238660399 308854634 477320798 617709268 954641596 1235418536 1909283192 2470837072 2625264389 3818566384 5250528778 10501057556 21002115112 42004230224