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144514200114 = 23320811286011
BaseRepresentation
bin1000011010010110110…
…1111011001000110010
3111211000102222000011000
42012211231323020302
54331431113400424
6150220000502430
713304124301404
oct2064555731062
9454012860130
10144514200114
1156319553539
122401161aa16
1310820b9b01b
146dccd92b74
153b5c1b73c9
hex21a5b7b232

144514200114 has 32 divisors (see below), whose sum is σ = 321297238080. Its totient is φ = 48148214400.

The previous prime is 144514200079. The next prime is 144514200137. The reversal of 144514200114 is 411002415441.

It is a happy number.

144514200114 is a `hidden beast` number, since 1 + 4 + 451 + 4 + 200 + 1 + 1 + 4 = 666.

144514200114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1445142001142 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 530632 + ... + 755379.

It is an arithmetic number, because the mean of its divisors is an integer number (10040538690).

Almost surely, 2144514200114 is an apocalyptic number.

144514200114 is an abundant number, since it is smaller than the sum of its proper divisors (176783037966).

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

144514200114 is a wasteful number, since it uses less digits than its factorization.

144514200114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288103 (or 1288097 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 144514200114 its reverse (411002415441), we get a palindrome (555516615555).

The spelling of 144514200114 in words is "one hundred forty-four billion, five hundred fourteen million, two hundred thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 2081 4162 6243 12486 18729 37458 56187 112374 1286011 2572022 3858033 7716066 11574099 23148198 34722297 69444594 2676188891 5352377782 8028566673 16057133346 24085700019 48171400038 72257100057 144514200114