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141121322124040 = 23541181475412081
BaseRepresentation
bin100000000101100101011110…
…010001101000001100001000
3200111200001210120122102210201
4200011211132101220030020
5121444112431430432130
61220050123531421544
741503451630054416
oct4005453621501410
9614601716572721
10141121322124040
1140a6924234a655
12139b23112b48b4
1360988b6a766cb
1426bc4464ba2b6
15114ad51d18bca
hex80595e468308

141121322124040 has 64 divisors (see below), whose sum is σ = 327064495932720. Its totient is φ = 54767471616000.

The previous prime is 141121322123983. The next prime is 141121322124059. The reversal of 141121322124040 is 40421223121141.

It can be written as a sum of positive squares in 8 ways, for example, as 2237878370116 + 138883443753924 = 1495954^2 + 11784882^2 .

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, 237409201 + ... + 238002880.

Almost surely, 2141121322124040 is an apocalyptic number.

141121322124040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141121322124040 is an abundant number, since it is smaller than the sum of its proper divisors (185943173808680).

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

141121322124040 is a wasteful number, since it uses less digits than its factorization.

141121322124040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475412314 (or 475412310 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 141121322124040 its reverse (40421223121141), we get a palindrome (181542545245181).

The spelling of 141121322124040 in words is "one hundred forty-one trillion, one hundred twenty-one billion, three hundred twenty-two million, one hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 181 205 328 362 410 724 820 905 1448 1640 1810 3620 7240 7421 14842 29684 37105 59368 74210 148420 296840 475412081 950824162 1901648324 2377060405 3803296648 4754120810 9508241620 19016483240 19491895321 38983790642 77967581284 86049586661 97459476605 155935162568 172099173322 194918953210 344198346644 389837906420 430247933305 688396693288 779675812840 860495866610 1720991733220 3441983466440 3528033053101 7056066106202 14112132212404 17640165265505 28224264424808 35280330531010 70560661062020 141121322124040