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15313140020 = 2254131375953
BaseRepresentation
bin11100100001011101…
…11111100100110100
31110112012101010001002
432100232333210310
5222330130440040
611011301422432
71051321354043
oct162056774464
943465333032
1015313140020
116548960822
122b7440aa18
1315a06979c9
14a53a5855a
155e956ba15
hex390bbf934

15313140020 has 48 divisors (see below), whose sum is σ = 32957962128. Its totient is φ = 5972951040.

The previous prime is 15313140001. The next prime is 15313140047. The reversal of 15313140020 is 2004131351.

It can be written as a sum of positive squares in 8 ways, for example, as 1561356196 + 13751783824 = 39514^2 + 117268^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 15313139974 and 15313140001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2569364 + ... + 2575316.

It is an arithmetic number, because the mean of its divisors is an integer number (686624211).

Almost surely, 215313140020 is an apocalyptic number.

15313140020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15313140020 is an abundant number, since it is smaller than the sum of its proper divisors (17644822108).

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

15313140020 is a wasteful number, since it uses less digits than its factorization.

15313140020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9140 (or 9138 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 15313140020 its reverse (2004131351), we get a palindrome (17317271371).

The spelling of 15313140020 in words is "fifteen billion, three hundred thirteen million, one hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 3137 5953 6274 11906 12548 15685 23812 29765 31370 59530 62740 119060 128617 244073 257234 488146 514468 643085 976292 1220365 1286170 2440730 2572340 4881460 18674561 37349122 74698244 93372805 186745610 373491220 765657001 1531314002 3062628004 3828285005 7656570010 15313140020