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20144331340440 = 23351282913085153
BaseRepresentation
bin1001001010010001101111…
…01101101011101010011000
32122022210001002100021111020
410211020313231223222120
510120021042310343230
6110502102243402440
74146244211124606
oct445106755535230
978283032307436
1020144331340440
11646718797537a
122314133983420
13b317aa319368
144d8dc2c10876
1524e000e7c810
hex125237b6ba98

20144331340440 has 64 divisors (see below), whose sum is σ = 60437709295200. Its totient is φ = 5371402555392.

The previous prime is 20144331340439. The next prime is 20144331340447. The reversal of 20144331340440 is 4404313344102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20144331340447) by changing a digit.

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, 5003097 + ... + 8082056.

Almost surely, 220144331340440 is an apocalyptic number.

20144331340440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20144331340440 is an abundant number, since it is smaller than the sum of its proper divisors (40293377954760).

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

20144331340440 is a wasteful number, since it uses less digits than its factorization.

20144331340440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13097996 (or 13097992 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 20144331340440 its reverse (4404313344102), we get a palindrome (24548644684542).

The spelling of 20144331340440 in words is "twenty trillion, one hundred forty-four billion, three hundred thirty-one million, three hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 12829 25658 38487 51316 64145 76974 102632 128290 153948 192435 256580 307896 384870 513160 769740 1539480 13085153 26170306 39255459 52340612 65425765 78510918 104681224 130851530 157021836 196277295 261703060 314043672 392554590 523406120 785109180 1570218360 167869427837 335738855674 503608283511 671477711348 839347139185 1007216567022 1342955422696 1678694278370 2014433134044 2518041417555 3357388556740 4028866268088 5036082835110 6714777113480 10072165670220 20144331340440