Search a number
-
+
30455207244 = 223271167163981
BaseRepresentation
bin11100010111010001…
…011001010101001100
32220121110211211022200
4130113101121111030
5444333013112434
621554012441500
72125464663450
oct342721312514
986543754280
1030455207244
1111a09196a70
125a9b479290
132b44795cb7
14168caa0660
15bd3a95199
hex71745954c

30455207244 has 144 divisors (see below), whose sum is σ = 97413179136. Its totient is φ = 7792329600.

The previous prime is 30455207207. The next prime is 30455207267. The reversal of 30455207244 is 44270255403.

30455207244 is a `hidden beast` number, since 30 + 4 + 552 + 0 + 72 + 4 + 4 = 666.

It is a super-3 number, since 3×304552072443 (a number of 32 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 30455207199 and 30455207208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103734 + ... + 267714.

Almost surely, 230455207244 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 30455207244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48706589568).

30455207244 is an abundant number, since it is smaller than the sum of its proper divisors (66957971892).

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

30455207244 is a wasteful number, since it uses less digits than its factorization.

30455207244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164076 (or 164071 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The spelling of 30455207244 in words is "thirty billion, four hundred fifty-five million, two hundred seven thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 67 77 84 99 126 132 134 154 198 201 231 252 268 308 396 402 462 469 603 693 737 804 924 938 1206 1386 1407 1474 1876 2211 2412 2772 2814 2948 4221 4422 5159 5628 6633 8442 8844 10318 13266 15477 16884 20636 26532 30954 46431 61908 92862 163981 185724 327962 491943 655924 983886 1147867 1475829 1803791 1967772 2295734 2951658 3443601 3607582 4591468 5411373 5903316 6887202 7215164 10330803 10822746 10986727 12626537 13774404 16234119 20661606 21645492 21973454 25253074 32468238 32960181 37879611 41323212 43946908 50506148 64936476 65920362 75759222 76907089 98880543 113638833 120853997 131840724 151518444 153814178 197761086 227277666 230721267 241707994 307628356 362561991 395522172 454555332 461442534 483415988 692163801 725123982 845977979 922885068 1087685973 1384327602 1450247964 1691955958 2175371946 2537933937 2768655204 3383911916 4350743892 5075867874 7613801811 10151735748 15227603622 30455207244