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144101141403114 = 23783337122662027
BaseRepresentation
bin100000110000111100101001…
…010110000101010111101010
3200220012221020022022212111110
4200300330221112011113222
5122341423114144344424
61230251052300211150
742231651422034450
oct4060745126052752
9626187208285443
10144101141403114
1141a07a50681a75
12141b3924839ab6
1362538aa63490c
1427827650c69d0
15119d6049e4c29
hex830f295855ea

144101141403114 has 64 divisors (see below), whose sum is σ = 334331548701696. Its totient is φ = 40555009684224.

The previous prime is 144101141403083. The next prime is 144101141403133. The reversal of 144101141403114 is 411304141101441.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60156232 + ... + 62505795.

It is an arithmetic number, because the mean of its divisors is an integer number (5223930448464).

Almost surely, 2144101141403114 is an apocalyptic number.

144101141403114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

144101141403114 is an abundant number, since it is smaller than the sum of its proper divisors (190230407298582).

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

144101141403114 is a wasteful number, since it uses less digits than its factorization.

144101141403114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122662459.

The product of its (nonzero) digits is 3072, while the sum is 30.

Adding to 144101141403114 its reverse (411304141101441), we get a palindrome (555405282504555).

The spelling of 144101141403114 in words is "one hundred forty-four trillion, one hundred one billion, one hundred forty-one million, four hundred three thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 83 166 249 337 498 581 674 1011 1162 1743 2022 2359 3486 4718 7077 14154 27971 55942 83913 167826 195797 391594 587391 1174782 122662027 245324054 367986081 735972162 858634189 1717268378 2575902567 5151805134 10180948241 20361896482 30542844723 41337103099 61085689446 71266637687 82674206198 124011309297 142533275374 213799913061 248022618594 289359721693 427599826122 578719443386 868079165079 1736158330158 3430979557217 6861959114434 10292938671651 20585877343302 24016856900519 48033713801038 72050570701557 144101141403114