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103440242412 = 2232132318153093
BaseRepresentation
bin110000001010110000…
…1001101011011101100
3100212222221001202122100
41200111201031123230
53143321200224122
6115304135215100
710321226360523
oct1402541153354
9325887052570
10103440242412
113a961358151
1218069b17490
1399a6485540
145013d054ba
152a56290aac
hex181584d6ec

103440242412 has 144 divisors (see below), whose sum is σ = 295459190208. Its totient is φ = 30275182080.

The previous prime is 103440242273. The next prime is 103440242413. The reversal of 103440242412 is 214242044301.

103440242412 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 4 + 0 + 242 + 412 = 666.

It is not an unprimeable number, because it can be changed into a prime (103440242413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1921738 + ... + 1974830.

It is an arithmetic number, because the mean of its divisors is an integer number (2051799932).

Almost surely, 2103440242412 is an apocalyptic number.

103440242412 is a gapful number since it is divisible by the number (12) 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 103440242412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147729595104).

103440242412 is an abundant number, since it is smaller than the sum of its proper divisors (192018947796).

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

103440242412 is a wasteful number, since it uses less digits than its factorization.

103440242412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53320 (or 53315 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 103440242412 its reverse (214242044301), we get a palindrome (317682286713).

The spelling of 103440242412 in words is "one hundred three billion, four hundred forty million, two hundred forty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 138 156 181 207 234 276 299 362 414 468 543 598 724 828 897 1086 1196 1629 1794 2172 2353 2691 3258 3588 4163 4706 5382 6516 7059 8326 9412 10764 12489 14118 16652 21177 24978 28236 37467 42354 49956 53093 54119 74934 84708 106186 108238 149868 159279 162357 212372 216476 318558 324714 477837 487071 637116 649428 690209 955674 974142 1221139 1380418 1911348 1948284 2070627 2442278 2760836 3663417 4141254 4884556 6211881 7326834 8282508 9609833 10990251 12423762 14653668 15874807 19219666 21980502 24847524 28829499 31749614 38439332 43961004 47624421 57658998 63499228 86488497 95248842 115317996 124927829 142873263 172976994 190497684 221026159 249855658 285746526 345953988 374783487 442052318 499711316 571493052 663078477 749566974 884104636 1124350461 1326156954 1499133948 1989235431 2248700922 2652313908 2873340067 3978470862 4497401844 5746680134 7956941724 8620020201 11493360268 17240040402 25860060603 34480080804 51720121206 103440242412