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2144470140 = 22365147083
BaseRepresentation
bin111111111010010…
…0000010001111100
312112110012101000000
41333310200101330
513342441021030
6552443234300
7104066460351
oct17764402174
95473171000
102144470140
11a0055217a
124ba218990
1328238b257
14164b44628
15c83ed860
hex7fd2047c

2144470140 has 84 divisors (see below), whose sum is σ = 6752038104. Its totient is φ = 571854816.

The previous prime is 2144470123. The next prime is 2144470147. The reversal of 2144470140 is 410744412.

2144470140 is a `hidden beast` number, since 214 + 447 + 0 + 1 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144470147) 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 27 ways as a sum of consecutive naturals, for example, 58962 + ... + 88121.

It is an arithmetic number, because the mean of its divisors is an integer number (80381406).

Almost surely, 22144470140 is an apocalyptic number.

2144470140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2144470140 is an abundant number, since it is smaller than the sum of its proper divisors (4607567964).

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

2144470140 is a wasteful number, since it uses less digits than its factorization.

2144470140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147110 (or 147093 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2144470140 is about 46308.4240716524. The cubic root of 2144470140 is about 1289.5553903161. Note that the first 3 decimals are identical.

The spelling of 2144470140 in words is "two billion, one hundred forty-four million, four hundred seventy thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2430 2916 3645 4860 7290 14580 147083 294166 441249 588332 735415 882498 1323747 1470830 1764996 2206245 2647494 2941660 3971241 4412490 5294988 6618735 7942482 8824980 11913723 13237470 15884964 19856205 23827446 26474940 35741169 39712410 47654892 59568615 71482338 79424820 107223507 119137230 142964676 178705845 214447014 238274460 357411690 428894028 536117535 714823380 1072235070 2144470140