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144432410011340 = 225113121210352757
BaseRepresentation
bin100000110101110001001010…
…011111100010011011001100
3200221101121021222122202221112
4200311301022133202123030
5122412340033430330330
61231103155544151152
742264616522533203
oct4065611237423314
9627347258582845
10144432410011340
1142025494119450
1214247b75a684b8
136278bc15c1c69
1427947ccd4223a
1511a704236b795
hex835c4a7e26cc

144432410011340 has 48 divisors (see below), whose sum is σ = 330987540479904. Its totient is φ = 52504047897600.

The previous prime is 144432410011283. The next prime is 144432410011361. The reversal of 144432410011340 is 43110014234441.

It is a junction number, because it is equal to n+sod(n) for n = 144432410011297 and 144432410011306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104489759 + ... + 105862998.

It is an arithmetic number, because the mean of its divisors is an integer number (6895573759998).

Almost surely, 2144432410011340 is an apocalyptic number.

144432410011340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144432410011340 is an abundant number, since it is smaller than the sum of its proper divisors (186555130468564).

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

144432410011340 is a wasteful number, since it uses less digits than its factorization.

144432410011340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210355898 (or 210355896 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 144432410011340 its reverse (43110014234441), we get a palindrome (187542424245781).

The spelling of 144432410011340 in words is "one hundred forty-four trillion, four hundred thirty-two billion, four hundred ten million, eleven thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 3121 6242 12484 15605 31210 34331 62420 68662 137324 171655 343310 686620 210352757 420705514 841411028 1051763785 2103527570 2313880327 4207055140 4627760654 9255521308 11569401635 23138803270 46277606540 656510954597 1313021909194 2626043818388 3282554772985 6565109545970 7221620500567 13130219091940 14443241001134 28886482002268 36108102502835 72216205005670 144432410011340