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2434242010002 = 231121492151027
BaseRepresentation
bin100011011011000100001…
…000010101101110010010
322121201012111210120002120
4203123010020111232102
5304340311423310002
65102135250155110
7340603533455025
oct43330410255622
98551174716076
102434242010002
118593a1177100
12333932882a96
13148718061b9a
1485b6460b1bc
15434c0b2bcbc
hex236c4215b92

2434242010002 has 72 divisors (see below), whose sum is σ = 5387500417488. Its totient is φ = 732693577440.

The previous prime is 2434242010001. The next prime is 2434242010021. The reversal of 2434242010002 is 2000102424342.

It is not an unprimeable number, because it can be changed into a prime (2434242010001) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16042413 + ... + 16193439.

Almost surely, 22434242010002 is an apocalyptic number.

2434242010002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2434242010002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2693750208744).

2434242010002 is an abundant number, since it is smaller than the sum of its proper divisors (2953258407486).

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

2434242010002 is a wasteful number, since it uses less digits than its factorization.

2434242010002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151352 (or 151192 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 2434242010002 its reverse (2000102424342), we get a palindrome (4434344434344).

The spelling of 2434242010002 in words is "two trillion, four hundred thirty-four billion, two hundred forty-two million, ten thousand, two".

Divisors: 1 2 3 6 11 22 33 66 121 149 242 298 363 447 726 894 1639 3278 4917 9834 18029 22201 36058 44402 54087 66603 108174 133206 151027 244211 302054 453081 488422 732633 906162 1465266 1661297 2686321 3322594 4983891 5372642 8058963 9967782 16117926 18274267 22503023 36548534 45006046 54822801 67509069 109645602 135018138 247533253 495066506 742599759 1485199518 2722865783 3352950427 5445731566 6705900854 8168597349 10058851281 16337194698 20117702562 36882454697 73764909394 110647364091 221294728182 405707001667 811414003334 1217121005001 2434242010002