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14424111423104 = 271973272920929
BaseRepresentation
bin1101000111100110000000…
…0010011001111010000000
31220001221011010101112012212
43101321200002121322000
53342311040011014404
650402202330441252
73016051633101545
oct321714002317200
956057133345185
1014424111423104
11466125a954039
12174b5a5893228
138082599a1646
1437c1b8992bcc
151a030e49706e
hexd1e60099e80

14424111423104 has 64 divisors (see below), whose sum is σ = 28762008093000. Its totient is φ = 7205414633472.

The previous prime is 14424111423041. The next prime is 14424111423133. The reversal of 14424111423104 is 40132411142441.

It can be written as a sum of positive squares in 4 ways, for example, as 13722283009600 + 701828413504 = 3704360^2 + 837752^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×144241114231042 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 689182112 + ... + 689203040.

Almost surely, 214424111423104 is an apocalyptic number.

It is an amenable number.

14424111423104 is a deficient number, since it is larger than the sum of its proper divisors (14337896669896).

14424111423104 is a wasteful number, since it uses less digits than its factorization.

14424111423104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25645 (or 25633 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 14424111423104 its reverse (40132411142441), we get a palindrome (54556522565545).

The spelling of 14424111423104 in words is "fourteen trillion, four hundred twenty-four billion, one hundred eleven million, four hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 128 1973 2729 3946 5458 7892 10916 15784 20929 21832 31568 41858 43664 63136 83716 87328 126272 167432 174656 252544 334864 349312 669728 1339456 2678912 5384317 10768634 21537268 41292917 43074536 57115241 82585834 86149072 114230482 165171668 172298144 228460964 330343336 344596288 456921928 660686672 689192576 913843856 1321373344 1827687712 2642746688 3655375424 5285493376 7310750848 112688370493 225376740986 450753481972 901506963944 1803013927888 3606027855776 7212055711552 14424111423104