Search a number
-
+
10040351120 = 245612637823
BaseRepresentation
bin10010101100111001…
…11001100110010000
3221220201200200110022
421112130321212100
5131030312213440
64340143323012
7503544401462
oct112634714620
927821620408
1010040351120
114292575448
121b425b0468
13c40177a87
146b3668132
153db6cdcb5
hex256739990

10040351120 has 80 divisors (see below), whose sum is σ = 23819761152. Its totient is φ = 3934778880.

The previous prime is 10040351107. The next prime is 10040351173. The reversal of 10040351120 is 2115304001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×100403511202 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1279529 + ... + 1287351.

Almost surely, 210040351120 is an apocalyptic number.

10040351120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10040351120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11909880576).

10040351120 is an abundant number, since it is smaller than the sum of its proper divisors (13779410032).

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

10040351120 is a wasteful number, since it uses less digits than its factorization.

10040351120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8160 (or 8154 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 10040351120 its reverse (2115304001), we get a palindrome (12155655121).

The spelling of 10040351120 in words is "ten billion, forty million, three hundred fifty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 263 305 488 526 610 976 1052 1220 1315 2104 2440 2630 4208 4880 5260 7823 10520 15646 16043 21040 31292 32086 39115 62584 64172 78230 80215 125168 128344 156460 160430 256688 312920 320860 477203 625840 641720 954406 1283440 1908812 2057449 2386015 3817624 4114898 4772030 7635248 8229796 9544060 10287245 16459592 19088120 20574490 32919184 38176240 41148980 82297960 125504389 164595920 251008778 502017556 627521945 1004035112 1255043890 2008070224 2510087780 5020175560 10040351120