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3043200413312 = 27181404932441
BaseRepresentation
bin101100010010001100111…
…000010010111010000000
3101202221000212110122122222
4230102030320102322000
5344324433301211222
610250005454150212
7432602225465663
oct54221470227200
911687025418588
103043200413312
11a7368332a6a4
124119617b2368
13190c84967147
14a74125596da
15542621ab542
hex2c48ce12e80

3043200413312 has 64 divisors (see below), whose sum is σ = 6097814541000. Its totient is φ = 1512773222400.

The previous prime is 3043200413299. The next prime is 3043200413347. The reversal of 3043200413312 is 2133140023403.

It can be written as a sum of positive squares in 4 ways, for example, as 2113487918656 + 929712494656 = 1453784^2 + 964216^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×30432004133122 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93791012 + ... + 93823452.

Almost surely, 23043200413312 is an apocalyptic number.

3043200413312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3043200413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048907270500).

3043200413312 is an abundant number, since it is smaller than the sum of its proper divisors (3054614127688).

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

3043200413312 is a wasteful number, since it uses less digits than its factorization.

3043200413312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36685 (or 36673 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 3043200413312 its reverse (2133140023403), we get a palindrome (5176340436715).

The spelling of 3043200413312 in words is "three trillion, forty-three billion, two hundred million, four hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 181 362 724 1448 2896 4049 5792 8098 11584 16196 23168 32392 32441 64784 64882 129568 129764 259136 259528 518272 519056 732869 1038112 1465738 2076224 2931476 4152448 5862952 5871821 11725904 11743642 23451808 23487284 46903616 46974568 93807232 93949136 131353609 187898272 262707218 375796544 525414436 751593088 1050828872 2101657744 4203315488 8406630976 16813261952 23775003229 47550006458 95100012916 190200025832 380400051664 760800103328 1521600206656 3043200413312