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30134465460 = 223251153287159
BaseRepresentation
bin11100000100001001…
…110111001110110100
32212210010022110022100
4130010021313032310
5443203410343320
621502114102100
72114521505301
oct340411671664
985703273270
1030134465460
1111864135a10
125a0bb7a930
132ac31b5268
14165c24c0a8
15bb583a790
hex7042773b4

30134465460 has 144 divisors (see below), whose sum is σ = 101599505280. Its totient is φ = 7167463680.

The previous prime is 30134465441. The next prime is 30134465479. The reversal of 30134465460 is 6456443103.

30134465460 is a `hidden beast` number, since 3 + 0 + 134 + 4 + 65 + 460 = 666.

It is an interprime number because it is at equal distance from previous prime (30134465441) and next prime (30134465479).

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

It is a congruent number.

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, 38640 + ... + 248519.

It is an arithmetic number, because the mean of its divisors is an integer number (705552120).

Almost surely, 230134465460 is an apocalyptic number.

30134465460 is a gapful number since it is divisible by the number (30) 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 30134465460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50799752640).

30134465460 is an abundant number, since it is smaller than the sum of its proper divisors (71465039820).

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

30134465460 is a wasteful number, since it uses less digits than its factorization.

30134465460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287238 (or 287233 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

It can be divided in two parts, 30134 and 465460, that added together give a palindrome (495594).

The spelling of 30134465460 in words is "thirty billion, one hundred thirty-four million, four hundred sixty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 53 55 60 66 90 99 106 110 132 159 165 180 198 212 220 265 318 330 396 477 495 530 583 636 660 795 954 990 1060 1166 1590 1749 1908 1980 2332 2385 2915 3180 3498 4770 5247 5830 6996 8745 9540 10494 11660 17490 20988 26235 34980 52470 104940 287159 574318 861477 1148636 1435795 1722954 2584431 2871590 3158749 3445908 4307385 5168862 5743180 6317498 8614770 9476247 10337724 12634996 12922155 15219427 15793745 17229540 18952494 25844310 28428741 30438854 31587490 37904988 45658281 47381235 51688620 56857482 60877708 63174980 76097135 91316562 94762470 113714964 136974843 142143705 152194270 167413697 182633124 189524940 228291405 273949686 284287410 304388540 334827394 456582810 502241091 547899372 568574820 669654788 684874215 837068485 913165620 1004482182 1369748430 1506723273 1674136970 2008964364 2511205455 2739496860 3013446546 3348273940 5022410910 6026893092 7533616365 10044821820 15067232730 30134465460