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2434132334120 = 235411484227033
BaseRepresentation
bin100011011010111101100…
…101111101011000101000
322121200220212102110001212
4203122331211331120220
5304340100334142440
65102120331332252
7340601032313204
oct43327545753050
98550825373055
102434132334120
11859345276a83
12333901bb1088
131486cb411206
1485b53c1bb04
15434b61b5465
hex236bd97d628

2434132334120 has 32 divisors (see below), whose sum is σ = 5610378188520. Its totient is φ = 949905300480.

The previous prime is 2434132334119. The next prime is 2434132334203. The reversal of 2434132334120 is 214332314342.

It can be written as a sum of positive squares in 4 ways, for example, as 1142286413284 + 1291845920836 = 1068778^2 + 1136594^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 742111877 + ... + 742115156.

Almost surely, 22434132334120 is an apocalyptic number.

2434132334120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2434132334120 is an abundant number, since it is smaller than the sum of its proper divisors (3176245854400).

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

2434132334120 is a wasteful number, since it uses less digits than its factorization.

2434132334120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484227085 (or 1484227081 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 2434132334120 its reverse (214332314342), we get a palindrome (2648464648462).

The spelling of 2434132334120 in words is "two trillion, four hundred thirty-four billion, one hundred thirty-two million, three hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 1484227033 2968454066 5936908132 7421135165 11873816264 14842270330 29684540660 59369081320 60853308353 121706616706 243413233412 304266541765 486826466824 608533083530 1217066167060 2434132334120