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14434011334044 = 22331051127162943
BaseRepresentation
bin1101001000001010111000…
…0111100100010110011100
31220002212201001211002222000
43102002232013210112130
53342441323400142134
650410520540122300
73016552154000631
oct322025607442634
956085631732860
1014434011334044
114665480116715
1217514a9236390
13809176a16903
1437c877700188
151a06dd683e99
hexd20ae1e459c

14434011334044 has 48 divisors (see below), whose sum is σ = 37457116784640. Its totient is φ = 4806759207600.

The previous prime is 14434011334037. The next prime is 14434011334073. The reversal of 14434011334044 is 44043311043441.

14434011334044 is a `hidden beast` number, since 1 + 4 + 43 + 401 + 133 + 40 + 44 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63467964 + ... + 63694979.

It is an arithmetic number, because the mean of its divisors is an integer number (780356599680).

Almost surely, 214434011334044 is an apocalyptic number.

It is an amenable number.

14434011334044 is an abundant number, since it is smaller than the sum of its proper divisors (23023105450596).

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

14434011334044 is a wasteful number, since it uses less digits than its factorization.

14434011334044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127164007 (or 127163999 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 14434011334044 its reverse (44043311043441), we get a palindrome (58477322377485).

The spelling of 14434011334044 in words is "fourteen trillion, four hundred thirty-four billion, eleven million, three hundred thirty-four thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1051 2102 3153 4204 6306 9459 12612 18918 28377 37836 56754 113508 127162943 254325886 381488829 508651772 762977658 1144466487 1525955316 2288932974 3433399461 4577865948 6866798922 13733597844 133648253093 267296506186 400944759279 534593012372 801889518558 1202834277837 1603779037116 2405668555674 3608502833511 4811337111348 7217005667022 14434011334044