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14356420504144 = 2445231084718289
BaseRepresentation
bin1101000011101001110101…
…0110000010101001010000
31212211110102121222120001021
43100322131112002221100
53340203422122113034
650311125403245224
73011134324554565
oct320723526025120
955743377876037
1014356420504144
114635584115804
12173a454219814
13801a5ca5b644
14378bd68d086c
1519d69b94d6b4
hexd0e9d582a50

14356420504144 has 40 divisors (see below), whose sum is σ = 27825800820480. Its totient is φ = 7175569218048.

The previous prime is 14356420504103. The next prime is 14356420504147. The reversal of 14356420504144 is 44140502465341.

It is a super-2 number, since 2×143564205041442 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14356420504144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14356420504147) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 784966552 + ... + 784984840.

It is an arithmetic number, because the mean of its divisors is an integer number (695645020512).

Almost surely, 214356420504144 is an apocalyptic number.

It is an amenable number.

14356420504144 is a deficient number, since it is larger than the sum of its proper divisors (13469380316336).

14356420504144 is a wasteful number, since it uses less digits than its factorization.

14356420504144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33667 (or 33661 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 43.

Adding to 14356420504144 its reverse (44140502465341), we get a palindrome (58496922969485).

The spelling of 14356420504144 in words is "fourteen trillion, three hundred fifty-six billion, four hundred twenty million, five hundred four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 4523 9046 10847 18092 18289 21694 36184 36578 43388 72368 73156 86776 146312 173552 292624 49060981 82721147 98121962 165442294 196243924 198380783 330884588 392487848 396761566 661769176 784975696 793523132 1323538352 1587046264 3174092528 897276281509 1794552563018 3589105126036 7178210252072 14356420504144