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45542200340 = 225721397137269
BaseRepresentation
bin101010011010100001…
…101101010000010100
311100112220200111002202
4222122201231100110
51221232300402330
632531035224032
73201402213200
oct523241552024
9140486614082
1045542200340
11183504261aa
1289abba8018
1343aa350450
1422c068bb00
1512b8340445
hexa9a86d414

45542200340 has 288 divisors, whose sum is σ = 122383003680. Its totient is φ = 14108000256.

The previous prime is 45542200289. The next prime is 45542200369. The reversal of 45542200340 is 4300224554.

It can be written as a sum of positive squares in 16 ways, for example, as 28101828496 + 17440371844 = 167636^2 + 132062^2 .

It is a super-2 number, since 2×455422003402 (a number of 22 digits) contains 22 as substring.

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, 169301726 + ... + 169301994.

It is an arithmetic number, because the mean of its divisors is an integer number (424940985).

Almost surely, 245542200340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45542200340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61191501840).

45542200340 is an abundant number, since it is smaller than the sum of its proper divisors (76840803340).

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

45542200340 is a wasteful number, since it uses less digits than its factorization.

45542200340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 29.

Adding to 45542200340 its reverse (4300224554), we get a palindrome (49842424894).

The spelling of 45542200340 in words is "forty-five billion, five hundred forty-two million, two hundred thousand, three hundred forty".