Search a number
-
+
125441031440 = 24516348719753
BaseRepresentation
bin111010011010011011…
…1100011110100010000
3102222210012102122110102
41310310313203310100
54023400401001230
6133343220351532
712030355113554
oct1646467436420
9388705378412
10125441031440
114922121261a
1220389b455a8
13baa15226ba
1460ddc0d864
1533e29c8045
hex1d34de3d10

125441031440 has 80 divisors (see below), whose sum is σ = 294057095808. Its totient is φ = 49763662848.

The previous prime is 125441031437. The next prime is 125441031449. The reversal of 125441031440 is 44130144521.

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

It is not an unprimeable number, because it can be changed into a prime (125441031449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6340604 + ... + 6360356.

Almost surely, 2125441031440 is an apocalyptic number.

125441031440 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 125441031440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147028547904).

125441031440 is an abundant number, since it is smaller than the sum of its proper divisors (168616064368).

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

125441031440 is a wasteful number, since it uses less digits than its factorization.

125441031440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20416 (or 20410 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 125441031440 its reverse (44130144521), we get a palindrome (169571175961).

The spelling of 125441031440 in words is "one hundred twenty-five billion, four hundred forty-one million, thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 163 326 487 652 815 974 1304 1630 1948 2435 2608 3260 3896 4870 6520 7792 9740 13040 19480 19753 38960 39506 79012 79381 98765 158024 158762 197530 316048 317524 395060 396905 635048 790120 793810 1270096 1580240 1587620 3175240 3219739 6350480 6439478 9619711 12878956 16098695 19239422 25757912 32197390 38478844 48098555 51515824 64394780 76957688 96197110 128789560 153915376 192394220 257579120 384788440 769576880 1568012893 3136025786 6272051572 7840064465 12544103144 15680128930 25088206288 31360257860 62720515720 125441031440