Search a number
-
+
1404130022442 = 233737380326399
BaseRepresentation
bin10100011011101100101…
…010111101010000101010
311222020022020100200012000
4110123230222331100222
5141001124241204232
62553014243231430
7203305436156550
oct24335452752052
94866266320160
101404130022442
114a1540879284
121a8168378576
13a2541451334
144bd62d27bd0
15267d0a1a27c
hex146ecabd42a

1404130022442 has 128 divisors (see below), whose sum is σ = 3663525888000. Its totient is φ = 390219882048.

The previous prime is 1404130022429. The next prime is 1404130022447. The reversal of 1404130022442 is 2442200314041.

1404130022442 is a `hidden beast` number, since 1 + 4 + 0 + 413 + 0 + 0 + 2 + 244 + 2 = 666.

It is a super-2 number, since 2×14041300224422 (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1404130022447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53175559 + ... + 53201957.

It is an arithmetic number, because the mean of its divisors is an integer number (28621296000).

Almost surely, 21404130022442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1404130022442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1831762944000).

1404130022442 is an abundant number, since it is smaller than the sum of its proper divisors (2259395865558).

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

1404130022442 is a wasteful number, since it uses less digits than its factorization.

1404130022442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30257 (or 30251 counting only the distinct ones).

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

Adding to 1404130022442 its reverse (2442200314041), we get a palindrome (3846330336483).

The spelling of 1404130022442 in words is "one trillion, four hundred four billion, one hundred thirty million, twenty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 74 111 126 189 222 259 333 378 518 666 777 999 1554 1998 2331 3803 4662 6993 7606 11409 13986 22818 26399 26621 34227 52798 53242 68454 79197 79863 102681 140711 158394 159726 184793 205362 237591 239589 281422 369586 422133 475182 479178 554379 712773 718767 844266 976763 984977 1108758 1266399 1425546 1437534 1663137 1953526 1969954 2532798 2930289 2954931 3326274 3799197 4989411 5860578 5909862 6837341 7598394 8790867 8864793 9978822 13674682 17581734 17729586 20512023 26372601 26594379 41024046 52745202 53188758 61536069 100395397 123072138 184608207 200790794 301186191 369216414 602372382 702767779 903558573 1405535558 1807117146 2108303337 2710675719 3714629689 4216606674 5421351438 6324910011 7429259378 11143889067 12649820022 18974730033 22287778134 26002407823 33431667201 37949460066 52004815646 66863334402 78007223469 100295001603 156014446938 200590003206 234021670407 468043340814 702065011221 1404130022442