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1441069431168 = 27337101426621
BaseRepresentation
bin10100111110000110011…
…011100111100110000000
312002202122121101001202010
4110332012123213212000
5142102302233244133
63022003531052520
7206054021025663
oct24760633474600
95082577331663
101441069431168
11506177141844
121b33572a1140
13a5b7a3c6233
144da68c396da
1527743990263
hex14f866e7980

1441069431168 has 64 divisors (see below), whose sum is σ = 3931295868720. Its totient is φ = 467373864960.

The previous prime is 1441069431143. The next prime is 1441069431223. The reversal of 1441069431168 is 8611349601441.

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

It is a super-2 number, since 2×14410694311682 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50699103 + ... + 50727518.

Almost surely, 21441069431168 is an apocalyptic number.

It is an amenable number.

1441069431168 is an abundant number, since it is smaller than the sum of its proper divisors (2490226437552).

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

1441069431168 is a wasteful number, since it uses less digits than its factorization.

1441069431168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101426675 (or 101426663 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 1441069431168 in words is "one trillion, four hundred forty-one billion, sixty-nine million, four hundred thirty-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 296 384 444 592 888 1184 1776 2368 3552 4736 7104 14208 101426621 202853242 304279863 405706484 608559726 811412968 1217119452 1622825936 2434238904 3245651872 3752784977 4868477808 6491303744 7505569954 9736955616 11258354931 12982607488 15011139908 19473911232 22516709862 30022279816 38947822464 45033419724 60044559632 90066839448 120089119264 180133678896 240178238528 360267357792 480356477056 720534715584 1441069431168