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34555112440 = 23527114472203
BaseRepresentation
bin100000001011101001…
…010010101111111000
310022012012112120221021
4200023221102233320
51031232102044230
623512511552224
72332210416022
oct401351225770
9108165476837
1034555112440
1113722507472
12684452b674
133348cc6cc4
14195b3bd012
15d739a1c7a
hex80ba52bf8

34555112440 has 64 divisors (see below), whose sum is σ = 78125276160. Its totient is φ = 13755277440.

The previous prime is 34555112437. The next prime is 34555112443. The reversal of 34555112440 is 4421155543.

It is an interprime number because it is at equal distance from previous prime (34555112437) and next prime (34555112443).

It is a junction number, because it is equal to n+sod(n) for n = 34555112396 and 34555112405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34555112443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15684379 + ... + 15686581.

It is an arithmetic number, because the mean of its divisors is an integer number (1220707440).

Almost surely, 234555112440 is an apocalyptic number.

It is an amenable number.

34555112440 is an abundant number, since it is smaller than the sum of its proper divisors (43570163720).

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

34555112440 is a wasteful number, since it uses less digits than its factorization.

34555112440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3932 (or 3928 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

Adding to 34555112440 its reverse (4421155543), we get a palindrome (38976267983).

The spelling of 34555112440 in words is "thirty-four billion, five hundred fifty-five million, one hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 271 542 1084 1355 1447 2168 2203 2710 2894 4406 5420 5788 7235 8812 10840 11015 11576 14470 17624 22030 28940 44060 57880 88120 392137 597013 784274 1194026 1568548 1960685 2388052 2985065 3137096 3187741 3921370 4776104 5970130 6375482 7842740 11940260 12750964 15685480 15938705 23880520 25501928 31877410 63754820 127509640 863877811 1727755622 3455511244 4319389055 6911022488 8638778110 17277556220 34555112440