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30241354138248 = 233112937649104917
BaseRepresentation
bin1101110000001000111010…
…01010111100001010001000
310222002001012222002022221110
412320010131022330022020
512430433243124410443
6144152404124010320
76240602642616021
oct670043512741210
9128061188068843
1030241354138248
1196aa317025410
123484b883909a0
1313b49942227c6
1476799180dc48
153769a8a6b233
hex1b811d2bc288

30241354138248 has 128 divisors (see below), whose sum is σ = 85323514320000. Its totient is φ = 8847725752320.

The previous prime is 30241354138169. The next prime is 30241354138271. The reversal of 30241354138248 is 84283145314203.

It is a super-2 number, since 2×302413541382482 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30241354138197 and 30241354138206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288188286 + ... + 288293202.

It is an arithmetic number, because the mean of its divisors is an integer number (666589955625).

Almost surely, 230241354138248 is an apocalyptic number.

It is an amenable number.

30241354138248 is an abundant number, since it is smaller than the sum of its proper divisors (55082160181752).

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

30241354138248 is a wasteful number, since it uses less digits than its factorization.

30241354138248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142615 (or 142611 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 30241354138248 in words is "thirty trillion, two hundred forty-one billion, three hundred fifty-four million, one hundred thirty-eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 174 232 264 319 348 638 696 957 1276 1914 2552 3828 7656 37649 75298 104917 112947 150596 209834 225894 301192 314751 414139 419668 451788 629502 828278 839336 903576 1091821 1154087 1242417 1259004 1656556 2183642 2308174 2484834 2518008 3042593 3275463 3313112 3462261 4367284 4616348 4969668 6085186 6550926 6924522 8734568 9127779 9232696 9939336 12010031 12170372 13101852 13849044 18255558 24020062 24340744 26203704 27698088 33468523 36030093 36511116 48040124 66937046 72060186 73022232 96080248 100405569 133874092 144120372 200811138 267748184 288240744 401622276 803244552 3950020133 7900040266 11850060399 15800080532 23700120798 31600161064 43450221463 47400241596 86900442926 94800483192 114550583857 130350664389 173800885852 229101167714 260701328778 343651751571 347601771704 458202335428 521402657556 687303503142 916404670856 1042805315112 1260056422427 1374607006284 2520112844854 2749214012568 3780169267281 5040225689708 7560338534562 10080451379416 15120677069124 30241354138248