Search a number
-
+
30252310503424 = 21317343363277
BaseRepresentation
bin1101110000011101010100…
…01110001010000000000000
310222010002111112102100110021
412320032222032022000000
512431123212442102144
6144201415232543224
76241441312314442
oct670165216120000
9128102445370407
1030252310503424
119703a2966a769
1234871256b1b14
1313b5a1c0b0019
147683109a2492
15376dea88b884
hex1b83aa38a000

30252310503424 has 112 divisors (see below), whose sum is σ = 64079478894888. Its totient is φ = 14232009572352.

The previous prime is 30252310503377. The next prime is 30252310503449. The reversal of 30252310503424 is 42430501325203.

It can be written as a sum of positive squares in 4 ways, for example, as 18903712665600 + 11348597837824 = 4347840^2 + 3368768^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 30252310503424.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 478061674 + ... + 478124950.

Almost surely, 230252310503424 is an apocalyptic number.

30252310503424 is a gapful number since it is divisible by the number (34) 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 30252310503424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32039739447444).

30252310503424 is an abundant number, since it is smaller than the sum of its proper divisors (33827168391464).

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

30252310503424 is an equidigital number, since it uses as much as digits as its factorization.

30252310503424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66753 (or 66729 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

Adding to 30252310503424 its reverse (42430501325203), we get a palindrome (72682811828627).

The spelling of 30252310503424 in words is "thirty trillion, two hundred fifty-two billion, three hundred ten million, five hundred three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1024 1088 2048 2176 3433 4096 4352 6866 8192 8704 13732 17408 27464 34816 54928 58361 63277 69632 109856 116722 126554 139264 219712 233444 253108 439424 466888 506216 878848 933776 1012432 1075709 1757696 1867552 2024864 2151418 3515392 3735104 4049728 4302836 7030784 7470208 8099456 8605672 14061568 14940416 16198912 17211344 28123136 29880832 32397824 34422688 59761664 64795648 68845376 119523328 129591296 137690752 217229941 239046656 259182592 275381504 434459882 478093312 518365184 550763008 868919764 1101526016 1737839528 2203052032 3475679056 3692908997 4406104064 6951358112 7385817994 8812208128 13902716224 14771635988 27805432448 29543271976 55610864896 59086543952 111221729792 118173087904 222443459584 236346175808 444886919168 472692351616 889773838336 945384703232 1779547676672 1890769406464 3781538812928 7563077625856 15126155251712 30252310503424