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10040340440 = 2351344943003
BaseRepresentation
bin10010101100111001…
…10110111111011000
3221220201200010210202
421112130312333120
5131030311343230
64340143201332
7503544325364
oct112634667730
927821603722
1010040340440
114292568419
121b425a6248
13c40172c60
146b36642a4
153db6caa45
hex256736fd8

10040340440 has 64 divisors (see below), whose sum is σ = 24383268000. Its totient is φ = 3698860032.

The previous prime is 10040340421. The next prime is 10040340463. The reversal of 10040340440 is 4404304001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 211979 + ... + 254981.

Almost surely, 210040340440 is an apocalyptic number.

10040340440 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 10040340440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12191634000).

10040340440 is an abundant number, since it is smaller than the sum of its proper divisors (14342927560).

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

10040340440 is a wasteful number, since it uses less digits than its factorization.

10040340440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43476 (or 43472 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 10040340440 its reverse (4404304001), we get a palindrome (14444644441).

The spelling of 10040340440 in words is "ten billion, forty million, three hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 449 520 898 1796 2245 3592 4490 5837 8980 11674 17960 23348 29185 43003 46696 58370 86006 116740 172012 215015 233480 344024 430030 559039 860060 1118078 1720120 2236156 2795195 4472312 5590390 11180780 19308347 22361560 38616694 77233388 96541735 154466776 193083470 251008511 386166940 502017022 772333880 1004034044 1255042555 2008068088 2510085110 5020170220 10040340440