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144032636341520 = 2451800407954269
BaseRepresentation
bin100000101111111100110110…
…001000000000110100010000
3200212222101102001222011120222
4200233330312020000310100
5122334312314400412040
61230155402451052212
742224004666442013
oct4057746610006420
9625871361864528
10144032636341520
1141990997323293
12141a25a65a1068
13624a2b0b29704
14277d306c5737a
15119b94577dbb5
hex82ff36200d10

144032636341520 has 20 divisors (see below), whose sum is σ = 334875879494220. Its totient is φ = 57613054536576.

The previous prime is 144032636341519. The next prime is 144032636341567. The reversal of 144032636341520 is 25143636230441.

It can be written as a sum of positive squares in 2 ways, for example, as 54601872718864 + 89430763622656 = 7389308^2 + 9456784^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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 3 ways as a sum of consecutive naturals, for example, 900203977055 + ... + 900203977214.

It is an arithmetic number, because the mean of its divisors is an integer number (16743793974711).

Almost surely, 2144032636341520 is an apocalyptic number.

144032636341520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144032636341520 is an abundant number, since it is smaller than the sum of its proper divisors (190843243152700).

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

144032636341520 is a wasteful number, since it uses less digits than its factorization.

144032636341520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800407954282 (or 1800407954276 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 44.

The spelling of 144032636341520 in words is "one hundred forty-four trillion, thirty-two billion, six hundred thirty-six million, three hundred forty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1800407954269 3600815908538 7201631817076 9002039771345 14403263634152 18004079542690 28806527268304 36008159085380 72016318170760 144032636341520