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144244311040 = 210529971473
BaseRepresentation
bin1000011001010110100…
…0011000010000000000
3111210022122010012221101
42012111220120100000
54330403020423130
6150133120104144
713264336261654
oct2062550302000
9453278105841
10144244311040
11561a0175915
1223b57165054
13107a9cb384b
146da51baa64
153b436551ca
hex2195a18400

144244311040 has 88 divisors (see below), whose sum is σ = 357949310040. Its totient is φ = 55708090368.

The previous prime is 144244311031. The next prime is 144244311049. The reversal of 144244311040 is 40113442441.

It is an interprime number because it is at equal distance from previous prime (144244311031) and next prime (144244311049).

It can be written as a sum of positive squares in 4 ways, for example, as 53320351744 + 90923959296 = 230912^2 + 301536^2 .

It is not an unprimeable number, because it can be changed into a prime (144244311049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 337257 + ... + 634216.

Almost surely, 2144244311040 is an apocalyptic number.

144244311040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144244311040 is an abundant number, since it is smaller than the sum of its proper divisors (213704999000).

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

144244311040 is an equidigital number, since it uses as much as digits as its factorization.

144244311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971527 (or 971509 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 144244311040 its reverse (40113442441), we get a palindrome (184357753481).

The spelling of 144244311040 in words is "one hundred forty-four billion, two hundred forty-four million, three hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 256 290 320 464 512 580 640 928 1024 1160 1280 1856 2320 2560 3712 4640 5120 7424 9280 14848 18560 29696 37120 74240 148480 971473 1942946 3885892 4857365 7771784 9714730 15543568 19429460 28172717 31087136 38858920 56345434 62174272 77717840 112690868 124348544 140863585 155435680 225381736 248697088 281727170 310871360 450763472 497394176 563454340 621742720 901526944 994788352 1126908680 1243485440 1803053888 2253817360 2486970880 3606107776 4507634720 4973941760 7212215552 9015269440 14424431104 18030538880 28848862208 36061077760 72122155520 144244311040