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14414013034304 = 261373323635109
BaseRepresentation
bin1101000111000000011000…
…1000000110111101000000
31220000222002100111020000212
43101300012020012331000
53342124344314044204
650353412311133252
73015243452155022
oct321600610067500
956028070436025
1014414013034304
114657a48649074
121749647974228
1380730a7b5b60
1437b8db73c012
1519ee1cb51c6e
hexd1c06206f40

14414013034304 has 56 divisors (see below), whose sum is σ = 30845047575720. Its totient is φ = 6643545237504.

The previous prime is 14414013034303. The next prime is 14414013034327. The reversal of 14414013034304 is 40343031041441.

It can be written as a sum of positive squares in 4 ways, for example, as 1159170915904 + 13254842118400 = 1076648^2 + 3640720^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14414013034303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11207699 + ... + 12427410.

It is an arithmetic number, because the mean of its divisors is an integer number (550804420995).

Almost surely, 214414013034304 is an apocalyptic number.

It is an amenable number.

14414013034304 is an abundant number, since it is smaller than the sum of its proper divisors (16431034541416).

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

14414013034304 is a wasteful number, since it uses less digits than its factorization.

14414013034304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23635867 (or 23635857 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 14414013034304 its reverse (40343031041441), we get a palindrome (54757044075745).

The spelling of 14414013034304 in words is "fourteen trillion, four hundred fourteen billion, thirteen million, thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 733 832 1466 2932 5864 9529 11728 19058 23456 38116 46912 76232 152464 304928 609856 23635109 47270218 94540436 189080872 307256417 378161744 614512834 756323488 1229025668 1512646976 2458051336 4916102672 9832205344 17324534897 19664410688 34649069794 69298139588 138596279176 225218953661 277192558352 450437907322 554385116704 900875814644 1108770233408 1801751629288 3603503258576 7207006517152 14414013034304