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44314114204032 = 273115401339073
BaseRepresentation
bin10100001001101101011110…
…00010010010000110000000
312210220101110210220121001020
422010312233002102012000
521302020301214012112
6234125342323505440
712222406026532221
oct1204665702220600
9183811423817036
1044314114204032
1113135568224372
124b78457228280
131b95a593786ca
14ad2b59281248
1551caa252748c
hex284daf092180

44314114204032 has 32 divisors (see below), whose sum is σ = 117709365855480. Its totient is φ = 14771371401216.

The previous prime is 44314114204013. The next prime is 44314114204079. The reversal of 44314114204032 is 23040241141344.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 44314114203984 and 44314114204002.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 57700669153 + ... + 57700669920.

Almost surely, 244314114204032 is an apocalyptic number.

It is an amenable number.

44314114204032 is an abundant number, since it is smaller than the sum of its proper divisors (73395251651448).

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

44314114204032 is a wasteful number, since it uses less digits than its factorization.

44314114204032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115401339090 (or 115401339078 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 44314114204032 its reverse (23040241141344), we get a palindrome (67354355345376).

The spelling of 44314114204032 in words is "forty-four trillion, three hundred fourteen billion, one hundred fourteen million, two hundred four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 115401339073 230802678146 346204017219 461605356292 692408034438 923210712584 1384816068876 1846421425168 2769632137752 3692842850336 5539264275504 7385685700672 11078528551008 14771371401344 22157057102016 44314114204032