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43401041440 = 2553712775741
BaseRepresentation
bin101000011010111001…
…110101011000100000
311011000200201100021021
4220122321311120200
51202341131311230
631534350535224
73064342523341
oct503271653040
9134020640237
1043401041440
1117451835899
1284b2b07514
134128881413
14215a16a0c8
1511e0397c7a
hexa1ae75620

43401041440 has 96 divisors (see below), whose sum is σ = 105406996464. Its totient is φ = 16875048960.

The previous prime is 43401041417. The next prime is 43401041443. The reversal of 43401041440 is 4414010434.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 31580133264 + 11820908176 = 177708^2 + 108724^2 .

It is not an unprimeable number, because it can be changed into a prime (43401041443) 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, 7556970 + ... + 7562710.

Almost surely, 243401041440 is an apocalyptic number.

43401041440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43401041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52703498232).

43401041440 is an abundant number, since it is smaller than the sum of its proper divisors (62005955024).

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

43401041440 is a wasteful number, since it uses less digits than its factorization.

43401041440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7070 (or 7062 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 43401041440 its reverse (4414010434), we get a palindrome (47815051874).

The spelling of 43401041440 in words is "forty-three billion, four hundred one million, forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1277 1480 2554 2960 5108 5741 5920 6385 10216 11482 12770 20432 22964 25540 28705 40864 45928 47249 51080 57410 91856 94498 102160 114820 183712 188996 204320 212417 229640 236245 377992 424834 459280 472490 755984 849668 918560 944980 1062085 1511968 1699336 1889960 2124170 3398672 3779920 4248340 6797344 7331257 7559840 8496680 14662514 16993360 29325028 33986720 36656285 58650056 73312570 117300112 146625140 234600224 271256509 293250280 542513018 586500560 1085026036 1173001120 1356282545 2170052072 2712565090 4340104144 5425130180 8680208288 10850260360 21700520720 43401041440