Search a number
-
+
10404231340510 = 25723157257160159
BaseRepresentation
bin1001011101100110110010…
…0000110110000111011110
31100211122010202210222210101
42113121230200312013132
52330430331210344020
634043345441331314
72122452360140110
oct227315440660736
940748122728711
1010404231340510
113351456399147
1212004b0036b3a
135a61652c6737
1427d7d32653b0
1513098805c00a
hex9766c8361de

10404231340510 has 128 divisors (see below), whose sum is σ = 22563402301440. Its totient is φ = 3377124900864.

The previous prime is 10404231340429. The next prime is 10404231340583. The reversal of 10404231340510 is 1504313240401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64881811 + ... + 65041969.

It is an arithmetic number, because the mean of its divisors is an integer number (176276580480).

Almost surely, 210404231340510 is an apocalyptic number.

10404231340510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10404231340510 is an abundant number, since it is smaller than the sum of its proper divisors (12159170960930).

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

10404231340510 is a wasteful number, since it uses less digits than its factorization.

10404231340510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160610.

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 10404231340510 its reverse (1504313240401), we get a palindrome (11908544580911).

The spelling of 10404231340510 in words is "ten trillion, four hundred four billion, two hundred thirty-one million, three hundred forty thousand, five hundred ten".

Divisors: 1 2 5 7 10 14 23 35 46 70 115 157 161 230 257 314 322 514 785 805 1099 1285 1570 1610 1799 2198 2570 3598 3611 5495 5911 7222 8995 10990 11822 17990 18055 25277 29555 36110 40349 41377 50554 59110 80698 82754 126385 160159 201745 206885 252770 282443 320318 403490 413770 564886 800795 928027 1121113 1412215 1601590 1856054 2242226 2824430 3683657 4640135 5605565 6496189 7367314 9280270 11211130 12992378 18418285 25144963 25785599 32480945 36836570 41160863 50289926 51571198 64961890 82321726 125724815 128927995 176014741 205804315 251449630 257855990 288126041 352029482 411608630 576252082 578334149 880073705 946699849 1156668298 1440630205 1760147410 1893399698 2881260410 2891670745 4048339043 4733499245 5783341490 6462255491 6626898943 8096678086 9466998490 12924510982 13253797886 20241695215 32311277455 33134494715 40483390430 45235788437 64622554910 66268989430 90471576874 148631876293 226178942185 297263752586 452357884370 743159381465 1040423134051 1486318762930 2080846268102 5202115670255 10404231340510