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2424311114130 = 232529232029477
BaseRepresentation
bin100011010001110100001…
…100111110100110010010
322120202120102001210000100
4203101310030332212102
5304204442121123010
65053414012433230
7340102455315603
oct43216414764622
98522512053010
102424311114130
11855165471044
12331a20a78816
131477c478b539
14854a1715daa
15430ddd6e2c0
hex2347433e992

2424311114130 has 72 divisors (see below), whose sum is σ = 6528056029092. Its totient is φ = 624190428288.

The previous prime is 2424311114119. The next prime is 2424311114153. The reversal of 2424311114130 is 314111134242.

It is a happy number.

2424311114130 is a `hidden beast` number, since 2 + 4 + 243 + 1 + 1 + 1 + 1 + 413 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 422813358081 + 2001497756049 = 650241^2 + 1414743^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2424311114094 and 2424311114103.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15939049 + ... + 16090428.

Almost surely, 22424311114130 is an apocalyptic number.

2424311114130 is an abundant number, since it is smaller than the sum of its proper divisors (4103744914962).

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

2424311114130 is a wasteful number, since it uses less digits than its factorization.

2424311114130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32029548 (or 32029516 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 2424311114130 its reverse (314111134242), we get a palindrome (2738422248372).

The spelling of 2424311114130 in words is "two trillion, four hundred twenty-four billion, three hundred eleven million, one hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 841 870 1305 1682 2523 2610 4205 5046 7569 8410 12615 15138 25230 37845 75690 32029477 64058954 96088431 160147385 192176862 288265293 320294770 480442155 576530586 928854833 960884310 1441326465 1857709666 2786564499 2882652930 4644274165 5573128998 8359693497 9288548330 13932822495 16719386994 26936790157 27865644990 41798467485 53873580314 80810370471 83596934970 134683950785 161620740942 242431111413 269367901570 404051852355 484862222826 808103704710 1212155557065 2424311114130