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30146339652 = 223111329471427
BaseRepresentation
bin11100000100110111…
…001010001101000100
32212210221122201122020
4130010313022031010
5443214430332102
621503220403140
72115024442032
oct340467121504
985727581566
1030146339652
111186a9061a0
125a13b464b0
132ac57b1c00
14165da5d552
15bb68d3bbc
hex704dca344

30146339652 has 144 divisors (see below), whose sum is σ = 83239011072. Its totient is φ = 8417735040.

The previous prime is 30146339567. The next prime is 30146339653. The reversal of 30146339652 is 25693364103.

It is a happy number.

It is a super-2 number, since 2×301463396522 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30146339653) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21124963 + ... + 21126389.

It is an arithmetic number, because the mean of its divisors is an integer number (578048688).

Almost surely, 230146339652 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 30146339652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41619505536).

30146339652 is an abundant number, since it is smaller than the sum of its proper divisors (53092671420).

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

30146339652 is a wasteful number, since it uses less digits than its factorization.

30146339652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 42.

The spelling of 30146339652 in words is "thirty billion, one hundred forty-six million, three hundred thirty-nine thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 169 286 338 429 507 572 676 858 947 1014 1427 1716 1859 1894 2028 2841 2854 3718 3788 4281 5577 5682 5708 7436 8562 10417 11154 11364 12311 15697 17124 18551 20834 22308 24622 31251 31394 36933 37102 41668 47091 49244 55653 62502 62788 73866 74204 94182 111306 125004 135421 147732 160043 188364 204061 222612 241163 270842 320086 406263 408122 480129 482326 541684 612183 640172 723489 812526 816244 960258 964652 1224366 1351369 1446978 1625052 1760473 1920516 2448732 2652793 2702738 2893956 3520946 4054107 5281419 5305586 5405476 7041892 7958379 8108214 10562838 10611172 14865059 15916758 16216428 17567797 21125676 29730118 31833516 35135594 44595177 52703391 59460236 70271188 89190354 105406782 178380708 193245767 210813564 228381361 386491534 456762722 579737301 685144083 772983068 913525444 1159474602 1370288166 2318949204 2512194971 2740576332 5024389942 7536584913 10048779884 15073169826 30146339652