Search a number
-
+
30291330372840 = 2334561153265181
BaseRepresentation
bin1101110001100101111111…
…11111001001010011101000
310222020211012220012002120000
412320302333333021103220
512432243121033412330
6144231351200103000
76244322255610615
oct670627777112350
9128224186162500
1030291330372840
119719532336129
1234927b5304a60
1313b95ca091254
1476a172d1550c
15377e312b9560
hex1b8cbffc94e8

30291330372840 has 160 divisors (see below), whose sum is σ = 103481585582760. Its totient is φ = 7945266931200.

The previous prime is 30291330372763. The next prime is 30291330372881. The reversal of 30291330372840 is 4827303319203.

30291330372840 is a `hidden beast` number, since 3 + 0 + 2 + 9 + 1 + 330 + 37 + 284 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24144034940964 + 6147295431876 = 4913658^2 + 2479374^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 76434951 + ... + 76830230.

Almost surely, 230291330372840 is an apocalyptic number.

30291330372840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30291330372840 is an abundant number, since it is smaller than the sum of its proper divisors (73190255209920).

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

30291330372840 is a wasteful number, since it uses less digits than its factorization.

30291330372840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153265265 (or 153265252 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 30291330372840 in words is "thirty trillion, two hundred ninety-one billion, three hundred thirty million, three hundred seventy-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 61 72 81 90 108 120 122 135 162 180 183 216 244 270 305 324 360 366 405 488 540 549 610 648 732 810 915 1080 1098 1220 1464 1620 1647 1830 2196 2440 2745 3240 3294 3660 4392 4941 5490 6588 7320 8235 9882 10980 13176 16470 19764 21960 24705 32940 39528 49410 65880 98820 197640 153265181 306530362 459795543 613060724 766325905 919591086 1226121448 1379386629 1532651810 1839182172 2298977715 2758773258 3065303620 3678364344 4138159887 4597955430 5517546516 6130607240 6896933145 8276319774 9195910860 9349176041 11035093032 12414479661 13793866290 16552639548 18391821720 18698352082 20690799435 24828959322 27587732580 28047528123 33105279096 37396704164 41381598870 46745880205 49657918644 55175465160 56095056246 62072398305 74793408328 82763197740 84142584369 93491760410 99315837288 112190112492 124144796610 140237640615 165526395480 168285168738 186983520820 224380224984 248289593220 252427753107 280475281230 336570337476 373967041640 420712921845 496579186440 504855506214 560950562460 673140674952 757283259321 841425843690 1009711012428 1121901124920 1262138765535 1514566518642 1682851687380 2019422024856 2524277531070 3029133037284 3365703374760 3786416296605 5048555062140 6058266074568 7572832593210 10097110124280 15145665186420 30291330372840