Search a number
-
+
141440022240440 = 23571127960798693
BaseRepresentation
bin100000001010001110010010…
…010010000101110010111000
3200112210112102100010210201112
4200022032102102011302320
5122014323131143143230
61220452352121135452
741535463414256630
oct4012162222056270
9615715370123645
10141440022240440
1141081416248100
1213a4403532a588
1360bc976b85c41
1426cda3b0136c0
1511542a6077d95
hex80a392485cb8

141440022240440 has 384 divisors, whose sum is σ = 404946210816000. Its totient is φ = 43514994631680.

The previous prime is 141440022240337. The next prime is 141440022240493. The reversal of 141440022240440 is 44042220044141.

It is a junction number, because it is equal to n+sod(n) for n = 141440022240397 and 141440022240406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16270560734 + ... + 16270569426.

It is an arithmetic number, because the mean of its divisors is an integer number (1054547424000).

Almost surely, 2141440022240440 is an apocalyptic number.

141440022240440 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 141440022240440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202473105408000).

141440022240440 is an abundant number, since it is smaller than the sum of its proper divisors (263506188575560).

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

141440022240440 is a wasteful number, since it uses less digits than its factorization.

141440022240440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14891 (or 14876 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 141440022240440 its reverse (44042220044141), we get a palindrome (185482242284581).

The spelling of 141440022240440 in words is "one hundred forty-one trillion, four hundred forty billion, twenty-two million, two hundred forty thousand, four hundred forty".