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110244140240000 = 275413106003981
BaseRepresentation
bin11001000100010000110110…
…110100010100110010000000
3112110100020101200110222200012
4121010100312310110302000
5103422214444400140000
61030245243040244052
732135606365361114
oct3104206664246200
9473306350428605
10110244140240000
1132144306119a88
1210446077610628
134968c93356c30
141d31bb840b744
15cb2a82d96735
hex644436d14c80

110244140240000 has 160 divisors (see below), whose sum is σ = 295557122492940. Its totient is φ = 40705528320000.

The previous prime is 110244140239999. The next prime is 110244140240081. The reversal of 110244140240000 is 42041442011.

It can be written as a sum of positive squares in 10 ways, for example, as 3192339770944 + 107051800469056 = 1786712^2 + 10346584^2 .

It is a tau number, because it is divible by the number of its divisors (160).

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 19 ways as a sum of consecutive naturals, for example, 51961991 + ... + 54041990.

Almost surely, 2110244140240000 is an apocalyptic number.

110244140240000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110244140240000 is an abundant number, since it is smaller than the sum of its proper divisors (185312982252940).

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

110244140240000 is an equidigital number, since it uses as much as digits as its factorization.

110244140240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106004028 (or 106004001 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 110244140240000 its reverse (42041442011), we get a palindrome (110286181682011).

The spelling of 110244140240000 in words is "one hundred ten trillion, two hundred forty-four billion, one hundred forty million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 128 130 160 200 208 250 260 320 325 400 416 500 520 625 640 650 800 832 1000 1040 1250 1300 1600 1625 1664 2000 2080 2500 2600 3200 3250 4000 4160 5000 5200 6500 8000 8125 8320 10000 10400 13000 16000 16250 20000 20800 26000 32500 40000 41600 52000 65000 80000 104000 130000 208000 260000 520000 1040000 106003981 212007962 424015924 530019905 848031848 1060039810 1378051753 1696063696 2120079620 2650099525 2756103506 3392127392 4240159240 5300199050 5512207012 6784254784 6890258765 8480318480 10600398100 11024414024 13250497625 13568509568 13780517530 16960636960 21200796200 22048828048 26500995250 27561035060 33921273920 34451293825 42401592400 44097656096 53001990500 55122070120 66252488125 67842547840 68902587650 84803184800 88195312192 106003981000 110244140240 132504976250 137805175300 169606369600 172256469125 176390624384 212007962000 220488280480 265009952500 275610350600 339212739200 344512938250 424015924000 440976560960 530019905000 551220701200 689025876500 848031848000 861282345625 881953121920 1060039810000 1102441402400 1378051753000 1696063696000 1722564691250 2120079620000 2204882804800 2756103506000 3445129382500 4240159240000 4409765609600 5512207012000 6890258765000 8480318480000 11024414024000 13780517530000 22048828048000 27561035060000 55122070120000 110244140240000