Search a number
-
+
2434131010044 = 2234431237141241
BaseRepresentation
bin100011011010111101100…
…000111010000111111100
322121200220202221011210000
4203122331200322013330
5304340100014310134
65102120243114300
7340601015130006
oct43327540720774
98550822834700
102434131010044
118593445521a8
12333901672990
131486cb069636
1485b53995376
15434b6002e99
hex236bd83a1fc

2434131010044 has 120 divisors (see below), whose sum is σ = 6516592887728. Its totient is φ = 791861495040.

The previous prime is 2434131010027. The next prime is 2434131010049. The reversal of 2434131010044 is 4400101314342.

2434131010044 is a `hidden beast` number, since 2 + 4 + 341 + 310 + 1 + 0 + 0 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2434131010049) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 17163264 + ... + 17304504.

Almost surely, 22434131010044 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 2434131010044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3258296443864).

2434131010044 is an abundant number, since it is smaller than the sum of its proper divisors (4082461877684).

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

2434131010044 is a wasteful number, since it uses less digits than its factorization.

2434131010044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142537 (or 142526 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2434131010044 its reverse (4400101314342), we get a palindrome (6834232324386).

The spelling of 2434131010044 in words is "two trillion, four hundred thirty-four billion, one hundred thirty-one million, ten thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 129 162 172 258 324 387 516 774 1161 1237 1548 2322 2474 3483 3711 4644 4948 6966 7422 11133 13932 14844 22266 33399 44532 53191 66798 100197 106382 133596 141241 159573 200394 212764 282482 319146 400788 423723 478719 564964 638292 847446 957438 1271169 1436157 1694892 1914876 2542338 2872314 3813507 4308471 5084676 5744628 6073363 7627014 8616942 11440521 12146726 15254028 17233884 18220089 22881042 24293452 36440178 45762084 54660267 72880356 109320534 163980801 174715117 218641068 327961602 349430234 491942403 524145351 655923204 698860468 983884806 1048290702 1572436053 1967769612 2096581404 3144872106 4717308159 6289744212 7512750031 9434616318 14151924477 15025500062 18869232636 22538250093 28303848954 30051000124 45076500186 56607697908 67614750279 90153000372 135229500558 202844250837 270459001116 405688501674 608532752511 811377003348 1217065505022 2434131010044