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2143553412 = 22372111323753
BaseRepresentation
bin111111111000100…
…0000011110000100
312112101110210111010
41333301000132010
513342222202122
6552411442220
7104055621600
oct17761003604
95471423433
102143553412
119aaa86450
124b9a56370
13282129c00
14164986500
15c82bbe0c
hex7fc40784

2143553412 has 432 divisors, whose sum is σ = 7191882432. Its totient is φ = 490613760.

The previous prime is 2143553407. The next prime is 2143553417.

2143553412 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2143553407) and next prime (2143553417).

It is a self number, because there is not a number n which added to its sum of digits gives 2143553412.

It is not an unprimeable number, because it can be changed into a prime (2143553417) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40444378 + ... + 40444430.

It is an arithmetic number, because the mean of its divisors is an integer number (16647876).

Almost surely, 22143553412 is an apocalyptic number.

2143553412 is a gapful number since it is divisible by the number (22) 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 2143553412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3595941216).

2143553412 is an abundant number, since it is smaller than the sum of its proper divisors (5048329020).

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

2143553412 is a wasteful number, since it uses less digits than its factorization.

2143553412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 126 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 2143553412 is about 46298.5249441059. The cubic root of 2143553412 is about 1289.3716090943.

It can be divided in two parts, 21435 and 53412, that added together give a palindrome (74847).

The spelling of 2143553412 in words is "two billion, one hundred forty-three million, five hundred fifty-three thousand, four hundred twelve".