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125351103440 = 24517331278459
BaseRepresentation
bin111010010111110000…
…0100000101111010000
3102222112221012211102202
41310233200200233100
54023204340302230
6133330245102332
712025213541033
oct1645740405720
9388487184382
10125351103440
1149185480362
12203639b79a8
13ba889c7474
1460d1cc101a
1533d9b62a45
hex1d2f820bd0

125351103440 has 80 divisors (see below), whose sum is σ = 309518314560. Its totient is φ = 47048263680.

The previous prime is 125351103413. The next prime is 125351103509. The reversal of 125351103440 is 44301153521.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310931 + ... + 589389.

It is an arithmetic number, because the mean of its divisors is an integer number (3868978932).

Almost surely, 2125351103440 is an apocalyptic number.

125351103440 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 125351103440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154759157280).

125351103440 is an abundant number, since it is smaller than the sum of its proper divisors (184167211120).

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

125351103440 is a wasteful number, since it uses less digits than its factorization.

125351103440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278820 (or 278814 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 125351103440 its reverse (44301153521), we get a palindrome (169652256961).

The spelling of 125351103440 in words is "one hundred twenty-five billion, three hundred fifty-one million, one hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 331 340 662 680 1324 1360 1655 2648 3310 5296 5627 6620 11254 13240 22508 26480 28135 45016 56270 90032 112540 225080 278459 450160 556918 1113836 1392295 2227672 2784590 4455344 4733803 5569180 9467606 11138360 18935212 22276720 23669015 37870424 47338030 75740848 92169929 94676060 184339858 189352120 368679716 378704240 460849645 737359432 921699290 1474718864 1566888793 1843398580 3133777586 3686797160 6267555172 7373594320 7834443965 12535110344 15668887930 25070220688 31337775860 62675551720 125351103440