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141200441012020 = 225133733797434293
BaseRepresentation
bin100000000110101111001010…
…001000001110111100110100
3200111221122000111210101100011
4200012233022020032330310
5122001412000344341040
61220150330452030004
741512252362365335
oct4006571210167464
9614848014711304
10141200441012020
1140a99852955185
1213a05712002304
1360a31b5499060
1426c21d021428c
15114ce32c8c3ea
hex806bca20ef34

141200441012020 has 96 divisors (see below), whose sum is σ = 327971233866528. Its totient is φ = 50724860884992.

The previous prime is 141200441011967. The next prime is 141200441012023. The reversal of 141200441012020 is 20210144002141.

It can be written as a sum of positive squares in 16 ways, for example, as 59784504417936 + 81415936594084 = 7732044^2 + 9023078^2 .

It is a junction number, because it is equal to n+sod(n) for n = 141200441011982 and 141200441012000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141200441012023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324909994 + ... + 325344286.

It is an arithmetic number, because the mean of its divisors is an integer number (3416367019443).

Almost surely, 2141200441012020 is an apocalyptic number.

141200441012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141200441012020 is an abundant number, since it is smaller than the sum of its proper divisors (186770792854508).

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

141200441012020 is a wasteful number, since it uses less digits than its factorization.

141200441012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468149 (or 468147 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 141200441012020 its reverse (20210144002141), we get a palindrome (161410585014161).

The spelling of 141200441012020 in words is "one hundred forty-one trillion, two hundred billion, four hundred forty-one million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 370 481 740 962 1924 2405 4810 9620 33797 67594 135188 168985 337970 434293 439361 675940 868586 878722 1250489 1737172 1757444 2171465 2196805 2500978 4342930 4393610 5001956 5645809 6252445 8685860 8787220 11291618 12504890 16068841 16256357 22583236 25009780 28229045 32137682 32512714 56458090 64275364 65025428 80344205 81281785 112916180 160688410 162563570 208894933 321376820 325127140 417789866 835579732 1044474665 2088949330 4177898660 14677800521 29355601042 58711202084 73389002605 146778005210 190811406773 293556010420 381622813546 543078619277 763245627092 954057033865 1086157238554 1908114067730 2172314477108 2715393096385 3816228135460 5430786192770 7060022050601 10861572385540 14120044101202 28240088202404 35300110253005 70600220506010 141200441012020