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2434134444132 = 2234710341901371
BaseRepresentation
bin100011011010111101101…
…110000000100001100100
322121200221000101122110110
4203122331232000201210
5304340101404203012
65102120444453020
7340601056251636
oct43327556004144
98550830348413
102434134444132
11859346488296
1233390284a170
131486cb99c741
1485b5420aa56
15434b648073c
hex236bdb80864

2434134444132 has 48 divisors (see below), whose sum is σ = 5856806172672. Its totient is φ = 786404912160.

The previous prime is 2434134444127. The next prime is 2434134444163. The reversal of 2434134444132 is 2314444314342.

It is a happy number.

It is a super-3 number, since 3×24341344441323 (a number of 38 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20892594 + ... + 21008777.

It is an arithmetic number, because the mean of its divisors is an integer number (122016795264).

Almost surely, 22434134444132 is an apocalyptic number.

It is an amenable number.

2434134444132 is an abundant number, since it is smaller than the sum of its proper divisors (3422671728540).

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

2434134444132 is a wasteful number, since it uses less digits than its factorization.

2434134444132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41901528 (or 41901526 counting only the distinct ones).

The product of its digits is 442368, while the sum is 39.

Adding to 2434134444132 its reverse (2314444314342), we get a palindrome (4748578758474).

The spelling of 2434134444132 in words is "two trillion, four hundred thirty-four billion, one hundred thirty-four million, four hundred forty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 47 94 103 141 188 206 282 309 412 564 618 1236 4841 9682 14523 19364 29046 58092 41901371 83802742 125704113 167605484 251408226 502816452 1969364437 3938728874 4315841213 5908093311 7877457748 8631682426 11816186622 12947523639 17263364852 23632373244 25895047278 51790094556 202844537011 405689074022 608533611033 811378148044 1217067222066 2434134444132