Search a number
-
+
41448073744 = 24721126612
BaseRepresentation
bin100110100110011111…
…110110101000010000
310221222120212022020101
4212212133312220100
51134341201324434
631012504022144
72665056546100
oct464637665020
9127876768211
1041448073744
111663a3a2300
128048a61954
133ba709372c
142012a35200
151128bc5b14
hex9a67f6a10

41448073744 has 135 divisors (see below), whose sum is σ = 102836818413. Its totient is φ = 16124169600.

The previous prime is 41448073721. The next prime is 41448073753. The reversal of 41448073744 is 44737084414.

The square root of 41448073744 is 203588.

It is a perfect power (a square), and thus also a powerful number.

41448073744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 32910313744 + 8537760000 = 181412^2 + 92400^2 .

It is a junction number, because it is equal to n+sod(n) for n = 41448073694 and 41448073703.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 62704774 + ... + 62705434.

Almost surely, 241448073744 is an apocalyptic number.

41448073744 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

41448073744 is the 203588-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41448073744

41448073744 is an abundant number, since it is smaller than the sum of its proper divisors (61388744669).

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

41448073744 is an equidigital number, since it uses as much as digits as its factorization.

41448073744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 46.

The spelling of 41448073744 in words is "forty-one billion, four hundred forty-eight million, seventy-three thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 121 154 176 196 242 308 392 484 539 616 661 784 847 968 1078 1232 1322 1694 1936 2156 2644 3388 4312 4627 5288 5929 6776 7271 8624 9254 10576 11858 13552 14542 18508 23716 29084 32389 37016 47432 50897 58168 64778 74032 79981 94864 101794 116336 129556 159962 203588 259112 319924 356279 407176 436921 518224 559867 639848 712558 814352 873842 1119734 1279696 1425116 1747684 2239468 2850232 3058447 3495368 3919069 4478936 4806131 5700464 6116894 6990736 7838138 8957872 9612262 12233788 15676276 19224524 21409129 24467576 31352552 33642917 38449048 42818258 48935152 52867441 62705104 67285834 76898096 85636516 105734882 134571668 171273032 211469764 235500419 269143336 342546064 370072087 422939528 471000838 538286672 740144174 845879056 942001676 1480288348 1884003352 2590504609 2960576696 3768006704 5181009218 5921153392 10362018436 20724036872 41448073744