Search a number
-
+
1242271284540 = 223511133231932
BaseRepresentation
bin10010000100111101001…
…000110111110100111100
311101202112000120212010120
4102010331020313310330
5130323132422101130
62350405212534540
7155515432456446
oct22047510676474
94352460525116
101242271284540
114399318328a0
12180916181450
13901b809a000
14441aa60b496
15224aacc0910
hex1213d237d3c

1242271284540 has 576 divisors, whose sum is σ = 4311708226560. Its totient is φ = 264526479360.

The previous prime is 1242271284511. The next prime is 1242271284547. The reversal of 1242271284540 is 454821722421.

It is a junction number, because it is equal to n+sod(n) for n = 1242271284492 and 1242271284501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242271284547) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6436638684 + ... + 6436638876.

It is an arithmetic number, because the mean of its divisors is an integer number (7485604560).

Almost surely, 21242271284540 is an apocalyptic number.

1242271284540 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 1242271284540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155854113280).

1242271284540 is an abundant number, since it is smaller than the sum of its proper divisors (3069436942020).

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

1242271284540 is a wasteful number, since it uses less digits than its factorization.

1242271284540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 42.

The spelling of 1242271284540 in words is "one trillion, two hundred forty-two billion, two hundred seventy-one million, two hundred eighty-four thousand, five hundred forty".