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144321020432240 = 24510181177194063
BaseRepresentation
bin100000110100001001011011…
…001010000000111101110000
3200220222221210001111212101212
4200310021123022000331300
5122404023422212312430
61230540054515015252
742253564265661551
oct4064113312007560
9626887701455355
10144321020432240
1141a92223657a63
121422a46989a528
13626b54c254902
14278d2633a0328
1511a41c328bb95
hex83425b280f70

144321020432240 has 40 divisors (see below), whose sum is σ = 335579332494528. Its totient is φ = 57722737637120.

The previous prime is 144321020432209. The next prime is 144321020432269. The reversal of 144321020432240 is 42234020123441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 144321020432197 and 144321020432206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87782552 + ... + 89411511.

Almost surely, 2144321020432240 is an apocalyptic number.

144321020432240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144321020432240 is an abundant number, since it is smaller than the sum of its proper divisors (191258312062288).

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

144321020432240 is a wasteful number, since it uses less digits than its factorization.

144321020432240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177204257 (or 177204251 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 144321020432240 its reverse (42234020123441), we get a palindrome (186555040555681).

The spelling of 144321020432240 in words is "one hundred forty-four trillion, three hundred twenty-one billion, twenty million, four hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 10181 20362 40724 50905 81448 101810 162896 203620 407240 814480 177194063 354388126 708776252 885970315 1417552504 1771940630 2835105008 3543881260 7087762520 14175525040 1804012755403 3608025510806 7216051021612 9020063777015 14432102043224 18040127554030 28864204086448 36080255108060 72160510216120 144321020432240