Search a number
-
+
144104401400442 = 23717539833199049
BaseRepresentation
bin100000110000111111101011…
…101001111111001001111010
3200220020020122111120220010020
4200300333223221333021322
5122342001303224303232
61230252351553231310
742232125255411030
oct4060775351771172
9626206574526106
10144104401400442
1141a0937388423a
12141b4494562536
136253ca9b4c112
14278299404c550
15119d745ce4e2c
hex830feba7f27a

144104401400442 has 64 divisors (see below), whose sum is σ = 329604557356800. Its totient is φ = 41144807614464.

The previous prime is 144104401400429. The next prime is 144104401400447. The reversal of 144104401400442 is 244004104401441.

It is not an unprimeable number, because it can be changed into a prime (144104401400447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 723864934 + ... + 724063982.

It is an arithmetic number, because the mean of its divisors is an integer number (5150071208700).

Almost surely, 2144104401400442 is an apocalyptic number.

144104401400442 is an abundant number, since it is smaller than the sum of its proper divisors (185500155956358).

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

144104401400442 is a wasteful number, since it uses less digits than its factorization.

144104401400442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210647.

The product of its (nonzero) digits is 32768, while the sum is 33.

Adding to 144104401400442 its reverse (244004104401441), we get a palindrome (388108505801883).

The spelling of 144104401400442 in words is "one hundred forty-four trillion, one hundred four billion, four hundred one million, four hundred thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 1753 3506 5259 9833 10518 12271 19666 24542 29499 36813 58998 68831 73626 137662 199049 206493 398098 412986 597147 1194294 1393343 2786686 4180029 8360058 17237249 34474498 51711747 103423494 120660743 241321486 348932897 361982229 697865794 723964458 1046798691 1957248817 2093597382 2442530279 3914497634 4885060558 5871746451 7327590837 11743492902 13700741719 14655181674 27401483438 41102225157 82204450314 3431057176201 6862114352402 10293171528603 20586343057206 24017400233407 48034800466814 72052200700221 144104401400442