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144340311040 = 210528191467
BaseRepresentation
bin1000011001101101011…
…0100101110000000000
3111210120022202112011221
42012123112211300000
54331102104423130
6150150425444424
713266613254232
oct2063326456000
9453508675157
10144340311040
115623a385062
1223b83340714
13107c3b56793
146db3c4a252
153b4bcb987a
hex219b5a5c00

144340311040 has 44 divisors (see below), whose sum is σ = 346247609976. Its totient is φ = 57736122368.

The previous prime is 144340310999. The next prime is 144340311079. The reversal of 144340311040 is 40113043441.

It is a super-2 number, since 2×1443403110402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144340310996 and 144340311014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14090614 + ... + 14100853.

Almost surely, 2144340311040 is an apocalyptic number.

144340311040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144340311040 is an abundant number, since it is smaller than the sum of its proper divisors (201907298936).

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

144340311040 is an equidigital number, since it uses as much as digits as its factorization.

144340311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28191492 (or 28191474 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 144340311040 its reverse (40113043441), we get a palindrome (184453354481).

The spelling of 144340311040 in words is "one hundred forty-four billion, three hundred forty million, three hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 5120 28191467 56382934 112765868 140957335 225531736 281914670 451063472 563829340 902126944 1127658680 1804253888 2255317360 3608507776 4510634720 7217015552 9021269440 14434031104 18042538880 28868062208 36085077760 72170155520 144340311040