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2244430142430 = 2357431106923197
BaseRepresentation
bin100000101010010010011…
…101100001101111011110
321221120021012021121220020
4200222102131201233132
5243233043104024210
64435024343133010
7321104033302020
oct40522235415736
97846235247806
102244430142430
11795948337663
12302b9b144166
131338586c0848
147a8b9662010
153d5b1d28770
hex20a92761bde

2244430142430 has 128 divisors (see below), whose sum is σ = 6176473067520. Its totient is φ = 511321489920.

The previous prime is 2244430142429. The next prime is 2244430142431. The reversal of 2244430142430 is 342410344422.

2244430142430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2244430142429) and next prime (2244430142431).

It is a junction number, because it is equal to n+sod(n) for n = 2244430142391 and 2244430142400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2244430142431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96743592 + ... + 96766788.

It is an arithmetic number, because the mean of its divisors is an integer number (48253695840).

Almost surely, 22244430142430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2244430142430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3088236533760).

2244430142430 is an abundant number, since it is smaller than the sum of its proper divisors (3932042925090).

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

2244430142430 is a wasteful number, since it uses less digits than its factorization.

2244430142430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24714.

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 2244430142430 its reverse (342410344422), we get a palindrome (2586840486852).

The spelling of 2244430142430 in words is "two trillion, two hundred forty-four billion, four hundred thirty million, one hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 431 862 1069 1293 2138 2155 2586 3017 3207 4310 5345 6034 6414 6465 7483 9051 10690 12930 14966 15085 16035 18102 22449 23197 30170 32070 37415 44898 45255 46394 69591 74830 90510 112245 115985 139182 162379 224490 231970 324758 347955 460739 487137 695910 811895 921478 974274 1382217 1623790 2303695 2435685 2764434 3225173 4607390 4871370 6450346 6911085 9675519 9997907 13822170 16125865 19351038 19995814 24797593 29993721 32251730 48377595 49595186 49989535 59987442 69985349 74392779 96755190 99979070 123987965 139970698 148785558 149968605 173583151 209956047 247975930 299937210 347166302 349926745 371963895 419912094 520749453 699853490 743927790 867915755 1041498906 1049780235 1735831510 2099560470 2603747265 5207494530 10687762583 21375525166 32063287749 53438812915 64126575498 74814338081 106877625830 149628676162 160316438745 224443014243 320632877490 374071690405 448886028486 748143380810 1122215071215 2244430142430