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10314204040 = 235725262349
BaseRepresentation
bin10011001101100011…
…00100001110001000
3222121210222212001001
421212301210032020
5132110414012130
64423245104344
7513411200500
oct114661441610
928553885031
1010314204040
114413110178
121bba2580b4
13c84b1c51a
146dbb92a00
154057756ca
hex266c64388

10314204040 has 48 divisors (see below), whose sum is σ = 26995855500. Its totient is φ = 3536297856.

The previous prime is 10314203993. The next prime is 10314204049. The reversal of 10314204040 is 4040241301.

It can be written as a sum of positive squares in 2 ways, for example, as 9883143396 + 431060644 = 99414^2 + 20762^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10314203999 and 10314204017.

It is not an unprimeable number, because it can be changed into a prime (10314204049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2629215 + ... + 2633134.

Almost surely, 210314204040 is an apocalyptic number.

10314204040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10314204040 is an abundant number, since it is smaller than the sum of its proper divisors (16681651460).

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

10314204040 is a wasteful number, since it uses less digits than its factorization.

10314204040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5262374 (or 5262363 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 10314204040 its reverse (4040241301), we get a palindrome (14354445341).

The spelling of 10314204040 in words is "ten billion, three hundred fourteen million, two hundred four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 5262349 10524698 21049396 26311745 36836443 42098792 52623490 73672886 105246980 147345772 184182215 210493960 257855101 294691544 368364430 515710202 736728860 1031420404 1289275505 1473457720 2062840808 2578551010 5157102020 10314204040