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1411636123240 = 2357103419116819
BaseRepresentation
bin10100100010101100000…
…100011101011001101000
311222221200100102002202021
4110202230010131121220
5141112012321420430
63000255141114224
7203662442032420
oct24425404353150
94887610362667
101411636123240
114a4742876972
121a97020b8974
13a31695671b5
144c475b87480
1526abe9a507a
hex148ac11d668

1411636123240 has 128 divisors (see below), whose sum is σ = 3673942272000. Its totient is φ = 478142615808.

The previous prime is 1411636123211. The next prime is 1411636123241. The reversal of 1411636123240 is 423216361141.

It is a junction number, because it is equal to n+sod(n) for n = 1411636123196 and 1411636123205.

It is not an unprimeable number, because it can be changed into a prime (1411636123241) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 12025551 + ... + 12142369.

It is an arithmetic number, because the mean of its divisors is an integer number (28702674000).

Almost surely, 21411636123240 is an apocalyptic number.

1411636123240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1411636123240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836971136000).

1411636123240 is an abundant number, since it is smaller than the sum of its proper divisors (2262306148760).

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

1411636123240 is a wasteful number, since it uses less digits than its factorization.

1411636123240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117359 (or 117355 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 1411636123240 in words is "one trillion, four hundred eleven billion, six hundred thirty-six million, one hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 103 140 206 280 412 419 515 721 824 838 1030 1442 1676 2060 2095 2884 2933 3352 3605 4120 4190 5768 5866 7210 8380 11732 14420 14665 16760 23464 28840 29330 43157 58660 86314 116819 117320 172628 215785 233638 302099 345256 431570 467276 584095 604198 817733 863140 934552 1168190 1208396 1510495 1635466 1726280 2336380 2416792 3020990 3270932 4088665 4672760 6041980 6541864 8177330 12032357 12083960 16354660 24064714 32709320 48129428 48947161 60161785 84226499 96258856 97894322 120323570 168452998 195788644 240647140 244735805 336905996 342630127 391577288 421132495 481294280 489471610 673811992 685260254 842264990 978943220 1370520508 1684529980 1713150635 1957886440 2741041016 3369059960 3426301270 5041557583 6852602540 10083115166 13705205080 20166230332 25207787915 35290903081 40332460664 50415575830 70581806162 100831151660 141163612324 176454515405 201662303320 282327224648 352909030810 705818061620 1411636123240