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144442546120 = 23517832559223
BaseRepresentation
bin1000011010000101110…
…0100101011111001000
3111210211110010121100101
42012201130211133020
54331304242433440
6150204521015144
713302264245545
oct2064134453710
9453743117311
10144442546120
1156292062864
1223bb16244b4
131080c0a0702
146dc365dbcc
153b55c6169a
hex21a17257c8

144442546120 has 64 divisors (see below), whose sum is σ = 348259201920. Its totient is φ = 53723188224.

The previous prime is 144442546117. The next prime is 144442546121. The reversal of 144442546120 is 21645244441.

It is a self number, because there is not a number n which added to its sum of digits gives 144442546120.

It is not an unprimeable number, because it can be changed into a prime (144442546121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1223172 + ... + 1336051.

It is an arithmetic number, because the mean of its divisors is an integer number (5441550030).

Almost surely, 2144442546120 is an apocalyptic number.

144442546120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144442546120 is an abundant number, since it is smaller than the sum of its proper divisors (203816655800).

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

144442546120 is a wasteful number, since it uses less digits than its factorization.

144442546120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2559334 (or 2559330 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 37.

The spelling of 144442546120 in words is "one hundred forty-four billion, four hundred forty-two million, five hundred forty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 83 85 136 166 170 332 340 415 664 680 830 1411 1660 2822 3320 5644 7055 11288 14110 28220 56440 2559223 5118446 10236892 12796115 20473784 25592230 43506791 51184460 87013582 102368920 174027164 212415509 217533955 348054328 424831018 435067910 849662036 870135820 1062077545 1699324072 1740271640 2124155090 3611063653 4248310180 7222127306 8496620360 14444254612 18055318265 28888509224 36110636530 72221273060 144442546120