Search a number
-
+
1418950004328 = 233447279116693
BaseRepresentation
bin10100101001100000000…
…000101100111001101000
312000122120001202202110000
4110221200000230321220
5141222002200114303
63003505011023000
7204341622014043
oct24514000547150
95018501682400
101418950004328
114a7856315a9a
121ab00359aa60
13a3a638bb19c
144c96b28bc5a
1526d9bb20da3
hex14a6002ce68

1418950004328 has 160 divisors (see below), whose sum is σ = 4060632533760. Its totient is φ = 462726276480.

The previous prime is 1418950004309. The next prime is 1418950004333. The reversal of 1418950004328 is 8234000598141.

1418950004328 is a `hidden beast` number, since 1 + 4 + 1 + 89 + 500 + 0 + 43 + 28 = 666.

It is a super-2 number, since 2×14189500043282 (a number of 25 digits) contains 22 as substring.

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, 84994350 + ... + 85011042.

It is an arithmetic number, because the mean of its divisors is an integer number (25378953336).

Almost surely, 21418950004328 is an apocalyptic number.

1418950004328 is a gapful number since it is divisible by the number (18) 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 1418950004328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030316266880).

1418950004328 is an abundant number, since it is smaller than the sum of its proper divisors (2641682529432).

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

1418950004328 is a wasteful number, since it uses less digits than its factorization.

1418950004328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19549 (or 19536 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 1418950004328 in words is "one trillion, four hundred eighteen billion, nine hundred fifty million, four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 81 94 108 141 162 188 216 282 324 376 423 564 648 846 1128 1269 1692 2538 2791 3384 3807 5076 5582 7614 8373 10152 11164 15228 16693 16746 22328 25119 30456 33386 33492 50079 50238 66772 66984 75357 100158 100476 131177 133544 150237 150714 200316 200952 226071 262354 300474 301428 393531 400632 450711 452142 524708 600948 602856 784571 787062 901422 904284 1049416 1180593 1201896 1352133 1569142 1574124 1802844 1808568 2353713 2361186 2704266 3138284 3148248 3541779 3605688 4707426 4722372 5408532 6276568 7061139 7083558 9414852 9444744 10625337 10817064 14122278 14167116 18829704 21183417 21250674 28244556 28334232 42366834 42501348 46590163 56489112 63550251 84733668 85002696 93180326 127100502 139770489 169467336 186360652 254201004 279540978 372721304 419311467 508402008 559081956 838622934 1118163912 1257934401 1677245868 2189737661 2515868802 3354491736 3773803203 4379475322 5031737604 6569212983 7547606406 8758950644 10063475208 13138425966 15095212812 17517901288 19707638949 26276851932 30190425624 39415277898 52553703864 59122916847 78830555796 118245833694 157661111592 177368750541 236491667388 354737501082 472983334776 709475002164 1418950004328