Search a number
-
+
1141211212434 = 23537436312339
BaseRepresentation
bin10000100110110101011…
…111010010101010010010
311001002122222020021100000
4100212311133102222102
5122144200032244214
62232133140510430
7145310164152636
oct20466537225222
94032588207300
101141211212434
113aaa91a83947
121652113ab416
1383800a79687
143d340882dc6
151ea4398a809
hex109b57d2a92

1141211212434 has 192 divisors, whose sum is σ = 2700174597120. Its totient is φ = 360787815360.

The previous prime is 1141211212429. The next prime is 1141211212439. The reversal of 1141211212434 is 4342121121411.

1141211212434 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 2 + 11 + 212 + 434 = 666.

It is an interprime number because it is at equal distance from previous prime (1141211212429) and next prime (1141211212439).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1141211212398 and 1141211212407.

It is not an unprimeable number, because it can be changed into a prime (1141211212439) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 487904437 + ... + 487906775.

It is an arithmetic number, because the mean of its divisors is an integer number (14063409360).

Almost surely, 21141211212434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141211212434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350087298560).

1141211212434 is an abundant number, since it is smaller than the sum of its proper divisors (1558963384686).

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

1141211212434 is a wasteful number, since it uses less digits than its factorization.

1141211212434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3067 (or 3055 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

Adding to 1141211212434 its reverse (4342121121411), we get a palindrome (5483332333845).

The spelling of 1141211212434 in words is "one trillion, one hundred forty-one billion, two hundred eleven million, two hundred twelve thousand, four hundred thirty-four".