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129240250000 = 24567192
BaseRepresentation
bin111100001011101010…
…0011011011010010000
3110100120222022221112221
41320113110123122100
54104141001000000
6135212215030424
712223456666531
oct1702724333220
9410528287487
10129240250000
114a8a082a774
122106a36b414
13c258675214
14638061a688
1535662dc61a
hex1e1751b690

129240250000 has 105 divisors (see below), whose sum is σ = 313435655941. Its totient is φ = 51624200000.

The previous prime is 129240249989. The next prime is 129240250021. The reversal of 129240250000 is 52042921.

The square root of 129240250000 is 359500.

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

It can be written as a sum of positive squares in 3 ways, for example, as 113226866064 + 16013383936 = 336492^2 + 126544^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 179749641 + ... + 179750359.

Almost surely, 2129240250000 is an apocalyptic number.

129240250000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

129240250000 is the 359500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129240250000

129240250000 is an abundant number, since it is smaller than the sum of its proper divisors (184195405941).

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

129240250000 is an frugal number, since it uses more digits than its factorization.

129240250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Multiplying 129240250000 by its sum of digits (25), we get a square (3231006250000 = 17975002).

129240250000 divided by its sum of digits (25) gives a square (5169610000 = 719002).

Adding to 129240250000 its reverse (52042921), we get a palindrome (129292292921).

The spelling of 129240250000 in words is "one hundred twenty-nine billion, two hundred forty million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 719 1000 1250 1438 2000 2500 2876 3125 3595 5000 5752 6250 7190 10000 11504 12500 14380 15625 17975 25000 28760 31250 35950 50000 57520 62500 71900 89875 125000 143800 179750 250000 287600 359500 449375 516961 719000 898750 1033922 1438000 1797500 2067844 2246875 2584805 3595000 4135688 4493750 5169610 7190000 8271376 8987500 10339220 11234375 12924025 17975000 20678440 22468750 25848050 35950000 41356880 44937500 51696100 64620125 89875000 103392200 129240250 179750000 206784400 258480500 323100625 516961000 646201250 1033922000 1292402500 1615503125 2584805000 3231006250 5169610000 6462012500 8077515625 12924025000 16155031250 25848050000 32310062500 64620125000 129240250000