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42144244140 = 22351375127037
BaseRepresentation
bin100111001111111111…
…100010000110101100
311000210002211102111010
4213033333202012230
51142302411303030
631205533225220
73021242110305
oct471777420654
9130702742433
1042144244140
1116967366439
128202032210
133c8839198b
14207b2937ac
151169d8d6b0
hex9cffe21ac

42144244140 has 48 divisors (see below), whose sum is σ = 118865248992. Its totient is φ = 11156430336.

The previous prime is 42144244133. The next prime is 42144244141. The reversal of 42144244140 is 4144244124.

It is a super-2 number, since 2×421442441402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 42144244098 and 42144244107.

It is not an unprimeable number, because it can be changed into a prime (42144244141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2555299 + ... + 2571738.

It is an arithmetic number, because the mean of its divisors is an integer number (2476359354).

Almost surely, 242144244140 is an apocalyptic number.

It is an amenable number.

42144244140 is an abundant number, since it is smaller than the sum of its proper divisors (76721004852).

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

42144244140 is a wasteful number, since it uses less digits than its factorization.

42144244140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5127186 (or 5127184 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 42144244140 its reverse (4144244124), we get a palindrome (46288488264).

The spelling of 42144244140 in words is "forty-two billion, one hundred forty-four million, two hundred forty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 137 274 411 548 685 822 1370 1644 2055 2740 4110 8220 5127037 10254074 15381111 20508148 25635185 30762222 51270370 61524444 76905555 102540740 153811110 307622220 702404069 1404808138 2107212207 2809616276 3512020345 4214424414 7024040690 8428848828 10536061035 14048081380 21072122070 42144244140