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141121332114440 = 2359375273714061
BaseRepresentation
bin100000000101100101011110…
…110111101111010000001000
3200111200001211021110000001112
4200011211132313233100020
5121444112442010130230
61220050124525505452
741503452111014066
oct4005453667572010
9614601737400045
10141121332114440
1140a69247a53587
12139b2314712288
1360988b8b63aa2
1426bc44795b036
15114ad52b3dd95
hex80595edef408

141121332114440 has 64 divisors (see below), whose sum is σ = 317922595446960. Its totient is φ = 56377516216320.

The previous prime is 141121332114391. The next prime is 141121332114491. The reversal of 141121332114440 is 44411233121141.

It can be written as a sum of positive squares in 8 ways, for example, as 75433776008644 + 65687556105796 = 8685262^2 + 8104786^2 .

It is a junction number, because it is equal to n+sod(n) for n = 141121332114397 and 141121332114406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197275010 + ... + 197989070.

Almost surely, 2141121332114440 is an apocalyptic number.

141121332114440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141121332114440 is an abundant number, since it is smaller than the sum of its proper divisors (176801263332520).

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

141121332114440 is a wasteful number, since it uses less digits than its factorization.

141121332114440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720282 (or 720278 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

Adding to 141121332114440 its reverse (44411233121141), we get a palindrome (185532565235581).

The spelling of 141121332114440 in words is "one hundred forty-one trillion, one hundred twenty-one billion, three hundred thirty-two million, one hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 937 1874 3748 4685 5273 7496 9370 10546 18740 21092 26365 37480 42184 52730 105460 210920 714061 1428122 2856244 3570305 4940801 5712488 7140610 9881602 14281220 19763204 24704005 28562440 39526408 49408010 98816020 197632040 669075157 1338150314 2676300628 3345375785 3765243653 5352601256 6690751570 7530487306 13381503140 15060974612 18826218265 26763006280 30121949224 37652436530 75304873060 150609746120 3528033302861 7056066605722 14112133211444 17640166514305 28224266422888 35280333028610 70560666057220 141121332114440