Search a number
-
+
10710565290040 = 2357113477456263
BaseRepresentation
bin1001101111011011111101…
…1100001000000000111000
31101220220211201011222211211
42123312333130020000320
52400440214203240130
634440211001132504
72153545535555560
oct233667734100070
941826751158754
1010710565290040
11345a363978480
12124b94278a134
135c9004447775
142905736a5da0
1513891681ba2a
hex9bdbf708038

10710565290040 has 64 divisors (see below), whose sum is σ = 30045222120960. Its totient is φ = 3338358011520.

The previous prime is 10710565289993. The next prime is 10710565290041. The reversal of 10710565290040 is 4009256501701.

10710565290040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×107105652900403 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 10710565289975 and 10710565290002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10710565290041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1738725052 + ... + 1738731211.

It is an arithmetic number, because the mean of its divisors is an integer number (469456595640).

Almost surely, 210710565290040 is an apocalyptic number.

10710565290040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10710565290040 is an abundant number, since it is smaller than the sum of its proper divisors (19334656830920).

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

10710565290040 is a wasteful number, since it uses less digits than its factorization.

10710565290040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3477456292 (or 3477456288 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

Subtracting from 10710565290040 its sum of digits (40), we obtain a square (10710565290000 = 32727002).

The spelling of 10710565290040 in words is "ten trillion, seven hundred ten billion, five hundred sixty-five million, two hundred ninety thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 3477456263 6954912526 13909825052 17387281315 24342193841 27819650104 34774562630 38252018893 48684387682 69549125260 76504037786 97368775364 121710969205 139098250520 153008075572 191260094465 194737550728 243421938410 267764132251 306016151144 382520188930 486843876820 535528264502 765040377860 973687753640 1071056529004 1338820661255 1530080755720 2142113058008 2677641322510 5355282645020 10710565290040