Search a number
-
+
351230525244 = 22351789238829
BaseRepresentation
bin1010001110001101111…
…10000111111100111100
31020120120212012100200000
411013012332013330330
521223310003301434
6425204133034300
734242551130264
oct5070676077474
91216525170600
10351230525244
11125a57525165
12580a2485990
13271757bcb81
1412ddd06a7a4
15920a0bdb99
hex51c6f87f3c

351230525244 has 144 divisors (see below), whose sum is σ = 985832920800. Its totient is φ = 108951422976.

The previous prime is 351230525221. The next prime is 351230525287. The reversal of 351230525244 is 442525032153.

351230525244 is a `hidden beast` number, since 3 + 5 + 123 + 0 + 5 + 2 + 524 + 4 = 666.

It is a super-2 number, since 2×3512305252442 (a number of 24 digits) contains 22 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 = 351230525199 and 351230525208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1351222 + ... + 1590050.

It is an arithmetic number, because the mean of its divisors is an integer number (6846061950).

Almost surely, 2351230525244 is an apocalyptic number.

351230525244 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 351230525244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492916460400).

351230525244 is an abundant number, since it is smaller than the sum of its proper divisors (634602395556).

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

351230525244 is a wasteful number, since it uses less digits than its factorization.

351230525244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238954 (or 238940 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 351230525244 its reverse (442525032153), we get a palindrome (793755557397).

The spelling of 351230525244 in words is "three hundred fifty-one billion, two hundred thirty million, five hundred twenty-five thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 89 102 108 153 162 178 204 243 267 306 324 356 459 486 534 612 801 918 972 1068 1377 1513 1602 1836 2403 2754 3026 3204 4131 4539 4806 5508 6052 7209 8262 9078 9612 13617 14418 16524 18156 21627 27234 28836 40851 43254 54468 81702 86508 122553 163404 238829 245106 367659 477658 490212 716487 735318 955316 1432974 1470636 2149461 2865948 4060093 4298922 6448383 8120186 8597844 12180279 12896766 16240372 19345149 21255781 24360558 25793532 36540837 38690298 42511562 48721116 58035447 63767343 73081674 77380596 85023124 109622511 116070894 127534686 146163348 191302029 219245022 232141788 255069372 328867533 361348277 382604058 438490044 573906087 657735066 722696554 765208116 986602599 1084044831 1147812174 1315470132 1445393108 1721718261 1973205198 2168089662 2295624348 3252134493 3443436522 3946410396 4336179324 5165154783 6504268986 6886873044 9756403479 10330309566 13008537972 19512806958 20660619132 29269210437 39025613916 58538420874 87807631311 117076841748 175615262622 351230525244