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330030134414442 = 2357118819147411
BaseRepresentation
bin100101100001010010010000…
…0111011010100110001101010
31121021112120110111212012200000
41023002210200323110301222
5321224203203402230232
63125525430052323430
7126341614251363060
oct11302444073246152
91537476414765600
10330030134414442
1196180aa3011120
1231022074313576
131121c928a0c017
145b6d78801a030
152824c93e6327c
hex12c2920ed4c6a

330030134414442 has 96 divisors (see below), whose sum is σ = 924528861494784. Its totient is φ = 85722112825200.

The previous prime is 330030134414389. The next prime is 330030134414459. The reversal of 330030134414442 is 244414431030033.

330030134414442 is a `hidden beast` number, since 3 + 3 + 0 + 0 + 301 + 344 + 1 + 4 + 4 + 4 + 2 = 666.

It is a super-2 number, since 2×3300301344144422 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330030134414397 and 330030134414406.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4409536284 + ... + 4409611127.

It is an arithmetic number, because the mean of its divisors is an integer number (9630508973904).

Almost surely, 2330030134414442 is an apocalyptic number.

330030134414442 is an abundant number, since it is smaller than the sum of its proper divisors (594498727080342).

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

330030134414442 is a wasteful number, since it uses less digits than its factorization.

330030134414442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8819147446 (or 8819147434 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 330030134414442 its reverse (244414431030033), we get a palindrome (574444565444475).

The spelling of 330030134414442 in words is "three hundred thirty trillion, thirty billion, one hundred thirty-four million, four hundred fourteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 126 154 162 189 198 231 243 297 378 462 486 567 594 693 891 1134 1386 1701 1782 2079 2673 3402 4158 5346 6237 12474 18711 37422 8819147411 17638294822 26457442233 52914884466 61734031877 79372326699 97010621521 123468063754 158744653398 185202095631 194021243042 238116980097 291031864563 370404191262 476233960194 555606286893 582063729126 679074350647 714350940291 873095593689 1111212573786 1358148701294 1428701880582 1666818860679 1746191187378 2037223051941 2143052820873 2619286781067 3333637721358 4074446103882 4286105641746 5000456582037 5238573562134 6111669155823 7857860343201 10000913164074 12223338311646 15001369746111 15715720686402 18335007467469 23573581029603 30002739492222 36670014934938 47147162059206 55005022402407 110010044804814 165015067207221 330030134414442