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114404013033030 = 2345761332915293
BaseRepresentation
bin11010000000110011000010…
…100011101100011001000110
3120000001220202101001001110000
4122000303002203230121012
5104443343404314024110
61043152251131142130
733045263043611520
oct3200630243543106
9500056671031400
10114404013033030
11334a851893a286
12109b83205a4946
134bab337c40b86
1420372803caa10
15d35d9e5631c0
hex680cc28ec646

114404013033030 has 160 divisors (see below), whose sum is σ = 352138874750784. Its totient is φ = 26106829680384.

The previous prime is 114404013032921. The next prime is 114404013033049. The reversal of 114404013033030 is 30330310404411.

114404013033030 is a `hidden beast` number, since 1 + 14 + 4 + 0 + 40 + 1 + 303 + 303 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 114404013032985 and 114404013033003.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 12981937 + ... + 19933356.

Almost surely, 2114404013033030 is an apocalyptic number.

114404013033030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114404013033030 is an abundant number, since it is smaller than the sum of its proper divisors (237734861717754).

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

114404013033030 is a wasteful number, since it uses less digits than its factorization.

114404013033030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32915932 (or 32915923 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 114404013033030 its reverse (30330310404411), we get a palindrome (144734323437441).

The spelling of 114404013033030 in words is "one hundred fourteen trillion, four hundred four billion, thirteen million, thirty-three thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 378 405 567 613 630 810 945 1134 1226 1839 1890 2835 3065 3678 4291 5517 5670 6130 8582 9195 11034 12873 16551 18390 21455 25746 27585 33102 38619 42910 49653 55170 64365 77238 82755 99306 115857 128730 165510 193095 231714 248265 347571 386190 496530 579285 695142 1158570 1737855 3475710 32915293 65830586 98745879 164576465 197491758 230407051 296237637 329152930 460814102 493729395 592475274 691221153 888712911 987458790 1152035255 1382442306 1481188185 1777425822 2073663459 2304070510 2666138733 2962376370 3456105765 4147326918 4443564555 5332277466 6220990377 6912211530 8887129110 10368317295 12441980754 13330693665 18662971131 20177074609 20736634590 26661387330 31104951885 37325942262 40354149218 60531223827 62209903770 93314855655 100885373045 121062447654 141239522263 181593671481 186629711310 201770746090 282479044526 302656119135 363187342962 423718566789 544781014443 605312238270 706197611315 847437133578 907968357405 1089562028886 1271155700367 1412395222630 1634343043329 1815936714810 2118592833945 2542311400734 2723905072215 3268686086658 3813467101101 4237185667890 5447810144430 6355778501835 7626934202202 8171715216645 11440401303303 12711557003670 16343430433290 19067335505505 22880802606606 38134671011010 57202006516515 114404013033030