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10302431424144 = 2431270511689353
BaseRepresentation
bin1001010111101011100011…
…0000111110111010010000
31100110220101011022102110120
42111322320300332322100
52322243334421033034
633524512140030240
72112216566133036
oct225727060767220
940426334272416
1010302431424144
113312266a56262
1211a481b532380
13599690926032
142788d7150556
1512cecacd3c49
hex95eb8c3ee90

10302431424144 has 40 divisors (see below), whose sum is σ = 26614839746592. Its totient is φ = 3434114745600.

The previous prime is 10302431424137. The next prime is 10302431424221. The reversal of 10302431424144 is 44142413420301.

It is a happy number.

It is a super-2 number, since 2×103024314241442 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5253772 + ... + 6943124.

Almost surely, 210302431424144 is an apocalyptic number.

It is an amenable number.

10302431424144 is an abundant number, since it is smaller than the sum of its proper divisors (16312408322448).

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

10302431424144 is a wasteful number, since it uses less digits than its factorization.

10302431424144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816415 (or 1816409 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 10302431424144 its reverse (44142413420301), we get a palindrome (54444844844445).

The spelling of 10302431424144 in words is "ten trillion, three hundred two billion, four hundred thirty-one million, four hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 127051 254102 381153 508204 762306 1016408 1524612 1689353 2032816 3049224 3378706 5068059 6098448 6757412 10136118 13514824 20272236 27029648 40544472 81088944 214633988003 429267976006 643901964009 858535952012 1287803928018 1717071904024 2575607856036 3434143808048 5151215712072 10302431424144