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13438131070 = 25713291074759
BaseRepresentation
bin11001000001111100…
…11001101101111110
31021200112012210022011
430200332121231332
5210010130143240
610101241441434
7654003141460
oct144076315576
937615183264
1013438131070
115776524851
1227304a027a
1313620a4260
14916a18130
15539b486ea
hex320f99b7e

13438131070 has 128 divisors (see below), whose sum is σ = 31091558400. Its totient is φ = 4067062272.

The previous prime is 13438131067. The next prime is 13438131071. The reversal of 13438131070 is 7013183431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13438131071) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2821351 + ... + 2826109.

It is an arithmetic number, because the mean of its divisors is an integer number (242902800).

Almost surely, 213438131070 is an apocalyptic number.

13438131070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13438131070 is an abundant number, since it is smaller than the sum of its proper divisors (17653427330).

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

13438131070 is a wasteful number, since it uses less digits than its factorization.

13438131070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4922.

The product of its (nonzero) digits is 6048, while the sum is 31.

The spelling of 13438131070 in words is "thirteen billion, four hundred thirty-eight million, one hundred thirty-one thousand, seventy".

Divisors: 1 2 5 7 10 13 14 26 29 35 58 65 70 91 107 130 145 182 203 214 290 377 406 455 535 749 754 910 1015 1070 1391 1498 1885 2030 2639 2782 3103 3745 3770 4759 5278 6206 6955 7490 9518 9737 13195 13910 15515 19474 21721 23795 26390 31030 33313 40339 43442 47590 48685 61867 66626 80678 97370 108605 123734 138011 166565 201695 217210 276022 282373 309335 333130 403390 433069 509213 564746 618670 690055 866138 966077 1018426 1380110 1411865 1794143 1932154 2165345 2546065 2823730 3564491 3588286 4330690 4830385 5092130 6619769 7128982 8970715 9660770 12559001 13239538 14767177 17822455 17941430 25118002 29534354 33098845 35644910 46338383 62795005 66197690 73835885 92676766 103370239 125590010 147671770 191973301 206740478 231691915 383946602 463383830 516851195 959866505 1033702390 1343813107 1919733010 2687626214 6719065535 13438131070