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141122122220440 = 23531432646701467
BaseRepresentation
bin100000000101100110001101…
…111101110000001110011000
3200111200010212100011112201201
4200011212031331300032120
5121444121101242023230
61220050335152323544
741503510513552114
oct4005461575601630
9614603770145651
10141122122220440
1140a69612a46949
12139b24b52435b4
1360989b376142a
1426bc4c086c744
15114ad9c1ae5ca
hex80598df70398

141122122220440 has 64 divisors (see below), whose sum is σ = 335390010024960. Its totient is φ = 53357501554560.

The previous prime is 141122122220419. The next prime is 141122122220489. The reversal of 141122122220440 is 44022221221141.

It is a junction number, because it is equal to n+sod(n) for n = 141122122220399 and 141122122220408.

It is a congruent number.

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, 1323297414 + ... + 1323404053.

It is an arithmetic number, because the mean of its divisors is an integer number (5240468906640).

Almost surely, 2141122122220440 is an apocalyptic number.

141122122220440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141122122220440 is an abundant number, since it is smaller than the sum of its proper divisors (194267887804520).

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

141122122220440 is a wasteful number, since it uses less digits than its factorization.

141122122220440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2646701552 (or 2646701548 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 141122122220440 its reverse (44022221221141), we get a palindrome (185144343441581).

The spelling of 141122122220440 in words is "one hundred forty-one trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 43 62 86 124 155 172 215 248 310 344 430 620 860 1240 1333 1720 2666 5332 6665 10664 13330 26660 53320 2646701467 5293402934 10586805868 13233507335 21173611736 26467014670 52934029340 82047745477 105868058680 113808163081 164095490954 227616326162 328190981908 410238727385 455232652324 569040815405 656381963816 820477454770 910465304648 1138081630810 1640954909540 2276163261620 3281909819080 3528053055511 4552326523240 7056106111022 14112212222044 17640265277555 28224424444088 35280530555110 70561061110220 141122122220440