Search a number
-
+
430552511136 = 253211212355157
BaseRepresentation
bin1100100001111101110…
…11011111001010100000
31112011022221111202011100
412100332323133022200
524023232420324021
6525443150314400
743051330650336
oct6207673371240
91464287452140
10430552511136
11156661739200
126b53b1b8a00
13317a73128b7
1416ba5b51b56
15b2edcae626
hex643eedf2a0

430552511136 has 108 divisors (see below), whose sum is σ = 1345810295466. Its totient is φ = 130470447360.

The previous prime is 430552511099. The next prime is 430552511149. The reversal of 430552511136 is 631115255034.

430552511136 is a `hidden beast` number, since 4 + 3 + 0 + 5 + 5 + 2 + 511 + 136 = 666.

It can be written as a sum of positive squares in only one way, i.e., 379185008400 + 51367502736 = 615780^2 + 226644^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 430552511136.

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, 6142731 + ... + 6212426.

Almost surely, 2430552511136 is an apocalyptic number.

It is an amenable number.

430552511136 is an abundant number, since it is smaller than the sum of its proper divisors (915257784330).

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

430552511136 is a wasteful number, since it uses less digits than its factorization.

430552511136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12355195 (or 12355173 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 430552511136 in words is "four hundred thirty billion, five hundred fifty-two million, five hundred eleven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 121 132 144 176 198 242 264 288 352 363 396 484 528 726 792 968 1056 1089 1452 1584 1936 2178 2904 3168 3872 4356 5808 8712 11616 17424 34848 12355157 24710314 37065471 49420628 74130942 98841256 111196413 135906727 148261884 197682512 222392826 271813454 296523768 395365024 407720181 444785652 543626908 593047536 815440362 889571304 1087253816 1186095072 1223160543 1494973997 1630880724 1779142608 2174507632 2446321086 2989947994 3261761448 3558285216 4349015264 4484921991 4892642172 5979895988 6523522896 8969843982 9785284344 11959791976 13047045792 13454765973 17939687964 19570568688 23919583952 26909531946 35879375928 39141137376 47839167904 53819063892 71758751856 107638127784 143517503712 215276255568 430552511136