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34506065442140 = 22517574117677831
BaseRepresentation
bin1111101100010000100011…
…10001011111010101011100
311112011202012000210120001222
413312020101301133111130
514010321410223122030
6201215511223552512
710160660316601535
oct766102161372534
9145152160716058
1034506065442140
11aaa3a38409616
123a5360b5bb738
131633ba5b85566
148741612b568c
153ec8ae12a3e5
hex1f6211c5f55c

34506065442140 has 48 divisors (see below), whose sum is σ = 76738620176064. Its totient is φ = 12988255257600.

The previous prime is 34506065442091. The next prime is 34506065442179. The reversal of 34506065442140 is 4124456060543.

It is a junction number, because it is equal to n+sod(n) for n = 34506065442091 and 34506065442100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6886976 + ... + 10790855.

It is an arithmetic number, because the mean of its divisors is an integer number (1598721253668).

Almost surely, 234506065442140 is an apocalyptic number.

It is an amenable number.

34506065442140 is an abundant number, since it is smaller than the sum of its proper divisors (42232554733924).

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

34506065442140 is a wasteful number, since it uses less digits than its factorization.

34506065442140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17683598 (or 17683596 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 44.

The spelling of 34506065442140 in words is "thirty-four trillion, five hundred six billion, sixty-five million, four hundred forty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 5741 11482 22964 28705 57410 97597 114820 195194 390388 487985 975970 1951940 17677831 35355662 70711324 88389155 176778310 300523127 353556620 601046254 1202092508 1502615635 3005231270 6010462540 101488427771 202976855542 405953711084 507442138855 1014884277710 1725303272107 2029768555420 3450606544214 6901213088428 8626516360535 17253032721070 34506065442140