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13403142440 = 2355311355949
BaseRepresentation
bin11000111101110001…
…11011100100101000
31021121002101011220222
430132320323210220
5204422201024230
610053551505212
7653066555012
oct143670734450
937532334828
1013403142440
1157587a7326
122720828208
131357a7371c
1491210b1b2
15536a366e5
hex31ee3b928

13403142440 has 64 divisors (see below), whose sum is σ = 30998538000. Its totient is φ = 5213458432.

The previous prime is 13403142439. The next prime is 13403142463. The reversal of 13403142440 is 4424130431.

It can be written as a sum of positive squares in 8 ways, for example, as 1781008804 + 11622133636 = 42202^2 + 107806^2 .

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, 211586 + ... + 267534.

Almost surely, 213403142440 is an apocalyptic number.

13403142440 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 13403142440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15499269000).

13403142440 is an abundant number, since it is smaller than the sum of its proper divisors (17595395560).

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

13403142440 is a wasteful number, since it uses less digits than its factorization.

13403142440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56126 (or 56122 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 13403142440 its reverse (4424130431), we get a palindrome (17827272871).

The spelling of 13403142440 in words is "thirteen billion, four hundred three million, one hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 113 212 226 265 424 452 530 565 904 1060 1130 2120 2260 4520 5989 11978 23956 29945 47912 55949 59890 111898 119780 223796 239560 279745 447592 559490 1118980 2237960 2965297 5930594 6322237 11861188 12644474 14826485 23722376 25288948 29652970 31611185 50577896 59305940 63222370 118611880 126444740 252889480 335078561 670157122 1340314244 1675392805 2680628488 3350785610 6701571220 13403142440