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10014444401140 = 2256711366136867
BaseRepresentation
bin1001000110111010101101…
…1001101011000111110100
31022110101000211220212011101
42101232223121223013310
52303034040231314030
633144323334415444
72052343160623054
oct221565331530764
938411024825141
1010014444401140
113211113874423
121158a49201584
1357848685384a
142689b7647564
151257730aa7ca
hex91bab66b1f4

10014444401140 has 48 divisors (see below), whose sum is σ = 21533106030912. Its totient is φ = 3911069707776.

The previous prime is 10014444401119. The next prime is 10014444401153. The reversal of 10014444401140 is 4110444441001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10014444401099 and 10014444401108.

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, 32917014 + ... + 33219853.

It is an arithmetic number, because the mean of its divisors is an integer number (448606375644).

Almost surely, 210014444401140 is an apocalyptic number.

10014444401140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10014444401140 is an abundant number, since it is smaller than the sum of its proper divisors (11518661629772).

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

10014444401140 is a wasteful number, since it uses less digits than its factorization.

10014444401140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66137056 (or 66137054 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 10014444401140 its reverse (4110444441001), we get a palindrome (14124888842141).

The spelling of 10014444401140 in words is "ten trillion, fourteen billion, four hundred forty-four million, four hundred one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 67 113 134 226 268 335 452 565 670 1130 1340 2260 7571 15142 30284 37855 75710 151420 66136867 132273734 264547468 330684335 661368670 1322737340 4431170089 7473465971 8862340178 14946931942 17724680356 22155850445 29893863884 37367329855 44311700890 74734659710 88623401780 149469319420 500722220057 1001444440114 2002888880228 2503611100285 5007222200570 10014444401140