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54242131444344 = 2333318100676739
BaseRepresentation
bin11000101010101001110101…
…11110100000001001111000
321010001111102101212210001000
430111110322332200021320
524102200341122204334
6311210254032325000
714265602403641424
oct1425247276401170
9233044371783030
1054242131444344
1116312a60124648
1261005a40a3760
13243601b36a4ac
14d57494309b84
15640e67c50299
hex31553afa0278

54242131444344 has 64 divisors (see below), whose sum is σ = 155532993408000. Its totient is φ = 17497461754080.

The previous prime is 54242131444297. The next prime is 54242131444349. The reversal of 54242131444344 is 44344413124245.

54242131444344 is a `hidden beast` number, since 5 + 4 + 2 + 42 + 131 + 44 + 434 + 4 = 666.

It is a super-2 number, since 2×542421314443442 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 54242131444344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54242131444349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4050331674 + ... + 4050345065.

It is an arithmetic number, because the mean of its divisors is an integer number (2430203022000).

Almost surely, 254242131444344 is an apocalyptic number.

54242131444344 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

54242131444344 is an abundant number, since it is smaller than the sum of its proper divisors (101290861963656).

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

54242131444344 is a wasteful number, since it uses less digits than its factorization.

54242131444344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8100676785 (or 8100676775 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 45.

Adding to 54242131444344 its reverse (44344413124245), we get a palindrome (98586544568589).

The spelling of 54242131444344 in words is "fifty-four trillion, two hundred forty-two billion, one hundred thirty-one million, four hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 744 837 1116 1674 2232 3348 6696 8100676739 16201353478 24302030217 32402706956 48604060434 64805413912 72906090651 97208120868 145812181302 194416241736 218718271953 251120978909 291624362604 437436543906 502241957818 583248725208 753362936727 874873087812 1004483915636 1506725873454 1749746175624 2008967831272 2260088810181 3013451746908 4520177620362 6026903493816 6780266430543 9040355240724 13560532861086 18080710481448 27121065722172 54242131444344