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1150225700000 = 255513884789
BaseRepresentation
bin10000101111001110110…
…010110101010010100000
311001221221012120200112212
4100233032302311102200
5122321130234400000
62240223440341252
7146046444063536
oct20571662652240
94057835520485
101150225700000
1140389846a873
12166b08314828
138460952cca0
143d957b8a156
151edc0079c35
hex10bcecb54a0

1150225700000 has 144 divisors (see below), whose sum is σ = 3048182950680. Its totient is φ = 424698240000.

The previous prime is 1150225699993. The next prime is 1150225700023. The reversal of 1150225700000 is 75220511.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1046291677456 + 103934022544 = 1022884^2 + 322388^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 857606 + ... + 1742394.

Almost surely, 21150225700000 is an apocalyptic number.

1150225700000 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 1150225700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524091475340).

1150225700000 is an abundant number, since it is smaller than the sum of its proper divisors (1897957250680).

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

1150225700000 is an frugal number, since it uses more digits than its factorization.

1150225700000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884837 (or 884809 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 23.

The spelling of 1150225700000 in words is "one trillion, one hundred fifty billion, two hundred twenty-five million, seven hundred thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 625 650 800 1000 1040 1250 1300 1625 2000 2080 2500 2600 3125 3250 4000 5000 5200 6250 6500 8125 10000 10400 12500 13000 16250 20000 25000 26000 32500 40625 50000 52000 65000 81250 100000 130000 162500 260000 325000 650000 884789 1300000 1769578 3539156 4423945 7078312 8847890 11502257 14156624 17695780 22119725 23004514 28313248 35391560 44239450 46009028 57511285 70783120 88478900 92018056 110598625 115022570 141566240 176957800 184036112 221197250 230045140 287556425 353915600 368072224 442394500 460090280 552993125 575112850 707831200 884789000 920180560 1105986250 1150225700 1437782125 1769578000 1840361120 2211972500 2300451400 2764965625 2875564250 3539156000 4423945000 4600902800 5529931250 5751128500 7188910625 8847890000 9201805600 11059862500 11502257000 14377821250 17695780000 22119725000 23004514000 28755642500 35944553125 44239450000 46009028000 57511285000 71889106250 88478900000 115022570000 143778212500 230045140000 287556425000 575112850000 1150225700000