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14115131496 = 2333437611997
BaseRepresentation
bin11010010010101001…
…11101000001101000
31100102201002222022000
431021110331001220
5212401433201441
610252344131000
71006533431604
oct151124750150
940381088260
1014115131496
115a93695234
12289b166a60
13143c41cb1b
1497c8c6504
155792c62b6
hex34953d068

14115131496 has 128 divisors (see below), whose sum is σ = 40193366400. Its totient is φ = 4587287040.

The previous prime is 14115131479. The next prime is 14115131497. The reversal of 14115131496 is 69413151141.

It is a happy number.

14115131496 is a `hidden beast` number, since 1 + 41 + 1 + 513 + 14 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 14115131496.

It is not an unprimeable number, because it can be changed into a prime (14115131497) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7067170 + ... + 7069166.

It is an arithmetic number, because the mean of its divisors is an integer number (314010675).

Almost surely, 214115131496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14115131496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20096683200).

14115131496 is an abundant number, since it is smaller than the sum of its proper divisors (26078234904).

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

14115131496 is a wasteful number, since it uses less digits than its factorization.

14115131496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816 (or 2806 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The spelling of 14115131496 in words is "fourteen billion, one hundred fifteen million, one hundred thirty-one thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 86 108 129 172 216 258 344 387 516 761 774 1032 1161 1522 1548 1997 2283 2322 3044 3096 3994 4566 4644 5991 6088 6849 7988 9132 9288 11982 13698 15976 17973 18264 20547 23964 27396 32723 35946 41094 47928 53919 54792 65446 71892 82188 85871 98169 107838 130892 143784 164376 171742 196338 215676 257613 261784 294507 343484 392676 431352 515226 589014 686968 772839 785352 883521 1030452 1178028 1519717 1545678 1767042 2060904 2318517 2356056 3039434 3091356 3534084 4559151 4637034 6078868 6182712 7068168 9118302 9274068 12157736 13677453 18236604 18548136 27354906 36473208 41032359 54709812 65347831 82064718 109419624 130695662 164129436 196043493 261391324 328258872 392086986 522782648 588130479 784173972 1176260958 1568347944 1764391437 2352521916 3528782874 4705043832 7057565748 14115131496