Search a number
-
+
10400024033154 = 234710389039777
BaseRepresentation
bin1001011101010111000110…
…1111001111011110000010
31100211020021120000122010000
42113111301233033132002
52330343222123030104
634041412144220430
72122243201462650
oct227256157173602
940736246018100
1010400024033154
11334a697490928
1211bb71700a716
135a594475c962
1427d514589dd0
151307dd9d7639
hex97571bcf782

10400024033154 has 80 divisors (see below), whose sum is σ = 26891437592448. Its totient is φ = 2942586517248.

The previous prime is 10400024033129. The next prime is 10400024033213. The reversal of 10400024033154 is 45133042000401.

It is a happy number.

10400024033154 is a `hidden beast` number, since 1 + 0 + 40 + 0 + 0 + 240 + 331 + 54 = 666.

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

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, 44403087 + ... + 44636690.

Almost surely, 210400024033154 is an apocalyptic number.

10400024033154 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10400024033154 is an abundant number, since it is smaller than the sum of its proper divisors (16491413559294).

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

10400024033154 is a wasteful number, since it uses less digits than its factorization.

10400024033154 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89039901 (or 89039892 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 10400024033154 its reverse (45133042000401), we get a palindrome (55533066033555).

The spelling of 10400024033154 in words is "ten trillion, four hundred billion, twenty-four million, thirty-three thousand, one hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 103 126 162 189 206 309 378 567 618 721 927 1134 1442 1854 2163 2781 4326 5562 6489 8343 12978 16686 19467 38934 58401 116802 89039777 178079554 267119331 534238662 623278439 801357993 1246556878 1602715986 1869835317 2404073979 3739670634 4808147958 5609505951 7212221937 9171097031 11219011902 14424443874 16828517853 18342194062 27513291093 33657035706 50485553559 55026582186 64197679217 82539873279 100971107118 128395358434 165079746558 192593037651 247619619837 385186075302 495239239674 577779112953 742858859511 1155558225906 1485717719022 1733337338859 3466674677718 5200012016577 10400024033154