Search a number
-
+
231384109104 = 24325637973581
BaseRepresentation
bin1101011101111110010…
…0010101000000110000
3211010020120000121121200
43113133210111000300
512242333312442404
6254144004251200
722500625322241
oct3273744250060
9733216017550
10231384109104
118a14732a955
1238a160a0b00
1318a8638aa35
14b2b02a2cc8
156043854839
hex35df915030

231384109104 has 120 divisors (see below), whose sum is σ = 649699635312. Its totient is φ = 76872967680.

The previous prime is 231384109093. The next prime is 231384109109. The reversal of 231384109104 is 401901483132.

231384109104 is a `hidden beast` number, since 2 + 3 + 138 + 410 + 9 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (231384109109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64612594 + ... + 64616174.

Almost surely, 2231384109104 is an apocalyptic number.

231384109104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

231384109104 is an abundant number, since it is smaller than the sum of its proper divisors (418315526208).

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

231384109104 is a wasteful number, since it uses less digits than its factorization.

231384109104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4955 (or 4946 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 231384109104 in words is "two hundred thirty-one billion, three hundred eighty-four million, one hundred nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 563 797 1126 1594 1689 2252 2391 3188 3378 3581 4504 4782 5067 6376 6756 7162 7173 9008 9564 10134 10743 12752 13512 14324 14346 19128 20268 21486 27024 28648 28692 32229 38256 40536 42972 57296 57384 64458 81072 85944 114768 128916 171888 257832 448711 515664 897422 1346133 1794844 2016103 2692266 2854057 3589688 4032206 4038399 5384532 5708114 6048309 7179376 8064412 8076798 8562171 10769064 11416228 12096618 16128824 16153596 17124342 18144927 21538128 22832456 24193236 25686513 32257648 32307192 34248684 36289854 45664912 48386472 51373026 64614384 68497368 72579708 96772944 102746052 136994736 145159416 205492104 290318832 410984208 1606834091 3213668182 4820502273 6427336364 9641004546 12854672728 14461506819 19282009092 25709345456 28923013638 38564018184 57846027276 77128036368 115692054552 231384109104