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423124240032 = 25321328693381
BaseRepresentation
bin1100010100001000010…
…10111000011010100000
31111110011020220110212100
412022010022320122200
523413024301140112
6522214112530400
742366261461304
oct6120412703240
91443136813770
10423124240032
1115349a66a17a
126a007550a00
1330b9237a300
141669d391d04
15b016a9a2dc
hex62842b86a0

423124240032 has 108 divisors (see below), whose sum is σ = 1302938014014. Its totient is φ = 130192058880.

The previous prime is 423124239977. The next prime is 423124240067. The reversal of 423124240032 is 230042421324.

423124240032 is a `hidden beast` number, since 4 + 231 + 2 + 424 + 0 + 0 + 3 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 168103280016 + 255020960016 = 410004^2 + 504996^2 .

It is a super-2 number, since 2×4231242400322 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 423124239978 and 423124240005.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4298019 + ... + 4395362.

Almost surely, 2423124240032 is an apocalyptic number.

It is an amenable number.

423124240032 is an abundant number, since it is smaller than the sum of its proper divisors (879813773982).

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

423124240032 is a wasteful number, since it uses less digits than its factorization.

423124240032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8693423 (or 8693399 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 423124240032 its reverse (230042421324), we get a palindrome (653166661356).

The spelling of 423124240032 in words is "four hundred twenty-three billion, one hundred twenty-four million, two hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 169 208 234 288 312 338 416 468 507 624 676 936 1014 1248 1352 1521 1872 2028 2704 3042 3744 4056 5408 6084 8112 12168 16224 24336 48672 8693381 17386762 26080143 34773524 52160286 69547048 78240429 104320572 113013953 139094096 156480858 208641144 226027906 278188192 312961716 339041859 417282288 452055812 625923432 678083718 834564576 904111624 1017125577 1251846864 1356167436 1469181389 1808223248 2034251154 2503693728 2712334872 2938362778 3616446496 4068502308 4407544167 5424669744 5876725556 8137004616 8815088334 10849339488 11753451112 13222632501 16274009232 17630176668 23506902224 26445265002 32548018464 35260353336 47013804448 52890530004 70520706672 105781060008 141041413344 211562120016 423124240032