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345414414544 = 24159713518097
BaseRepresentation
bin1010000011011000100…
…11011011000011010000
31020000120112011022200121
411001230103123003100
521124402042231134
6422403045400024
733645456036313
oct5015423330320
91200515138617
10345414414544
11123542483101
1256b3a709014
132675985a354
1412a0a84897a
158eb96abab4
hex506c4db0d0

345414414544 has 20 divisors (see below), whose sum is σ = 669659538724. Its totient is φ = 172599049728.

The previous prime is 345414414533. The next prime is 345414414571. The reversal of 345414414544 is 445414414543.

It can be written as a sum of positive squares in 2 ways, for example, as 117992250000 + 227422164544 = 343500^2 + 476888^2 .

It is a super-2 number, since 2×3454144145442 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 345414414544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6733497 + ... + 6784600.

Almost surely, 2345414414544 is an apocalyptic number.

It is an amenable number.

345414414544 is a deficient number, since it is larger than the sum of its proper divisors (324245124180).

345414414544 is a wasteful number, since it uses less digits than its factorization.

345414414544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13519702 (or 13519696 counting only the distinct ones).

The product of its digits is 1228800, while the sum is 43.

Subtracting 345414414544 from its reverse (445414414543), we obtain a palindrome (99999999999).

The spelling of 345414414544 in words is "three hundred forty-five billion, four hundred fourteen million, four hundred fourteen thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 1597 3194 6388 12776 25552 13518097 27036194 54072388 108144776 216289552 21588400909 43176801818 86353603636 172707207272 345414414544