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141441040 = 24513307443
BaseRepresentation
bin10000110111000…
…11100000010000
3100212010221122001
420123203200100
5242202103130
622011323344
73335141356
oct1033434020
9325127561
10141441040
1172926824
123b450554
13233c3230
1414adb7d6
15c63d6ca
hex86e3810

141441040 has 80 divisors (see below), whose sum is σ = 356102208. Its totient is φ = 51936768.

The previous prime is 141441029. The next prime is 141441067. The reversal of 141441040 is 40144141.

141441040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 141440999 and 141441017.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 319059 + ... + 319501.

Almost surely, 2141441040 is an apocalyptic number.

141441040 is a gapful number since it is divisible by the number (10) 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 141441040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178051104).

141441040 is an abundant number, since it is smaller than the sum of its proper divisors (214661168).

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

141441040 is a wasteful number, since it uses less digits than its factorization.

141441040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 141441040 is about 11892.8987215060. The cubic root of 141441040 is about 521.0249017046.

Adding to 141441040 its reverse (40144141), we get a palindrome (181585181).

The spelling of 141441040 in words is "one hundred forty-one million, four hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 307 443 520 614 886 1040 1228 1535 1772 2215 2456 3070 3544 3991 4430 4912 5759 6140 7088 7982 8860 11518 12280 15964 17720 19955 23036 24560 28795 31928 35440 39910 46072 57590 63856 79820 92144 115180 136001 159640 230360 272002 319280 460720 544004 680005 1088008 1360010 1768013 2176016 2720020 3536026 5440040 7072052 8840065 10880080 14144104 17680130 28288208 35360260 70720520 141441040