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144001261140640 = 2551490276039227
BaseRepresentation
bin100000101111011111101000…
…000001000111101010100000
3200212212101102110222211020221
4200233133220001013222200
5122333304040323000030
61230133133251412424
742221514330565111
oct4057375001075240
9625771373884227
10144001261140640
1141979656899502
12141984aabb4114
1362473508897a7
14277b9abd14208
15119ac0b05ce7a
hex82f7e8047aa0

144001261140640 has 48 divisors (see below), whose sum is σ = 340205318605152. Its totient is φ = 57600108408064.

The previous prime is 144001261140631. The next prime is 144001261140641. The reversal of 144001261140640 is 46041162100441.

It is a junction number, because it is equal to n+sod(n) for n = 144001261140596 and 144001261140605.

It is not an unprimeable number, because it can be changed into a prime (144001261140641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20824707 + ... + 26863933.

It is an arithmetic number, because the mean of its divisors is an integer number (7087610804274).

Almost surely, 2144001261140640 is an apocalyptic number.

144001261140640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144001261140640 is an abundant number, since it is smaller than the sum of its proper divisors (196204057464512).

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

144001261140640 is a wasteful number, since it uses less digits than its factorization.

144001261140640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6188269 (or 6188261 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The spelling of 144001261140640 in words is "one hundred forty-four trillion, one billion, two hundred sixty-one million, one hundred forty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 149027 298054 596108 745135 1192216 1490270 2384432 2980540 4768864 5961080 6039227 11922160 12078454 23844320 24156908 30196135 48313816 60392270 96627632 120784540 193255264 241569080 483138160 966276320 900007882129 1800015764258 3600031528516 4500039410645 7200063057032 9000078821290 14400126114064 18000157642580 28800252228128 36000315285160 72000630570320 144001261140640